All Lessons

List of all Lessons

These lessons are listed with newest lessons first.

• ALGEBRA-II - YOUR ONLINE TEXTBOOK in Complex_Numbers, by ikleyn(53646)   Seen 12410 times.
• OVERVIEW of LESSONS on determinants of 3x3-matrices and Cramer's rule for systems in 3 unknowns in Matrices-and-determiminant, by ikleyn(53646)   Seen 2970 times.
• Solving system of linear equation in 19 unknowns in Matrices-and-determiminant, by ikleyn(53646)   Seen 648 times.
• Solving system of linear equation in 17 unknowns in Matrices-and-determiminant, by ikleyn(53646)   Seen 709 times.
• Solving word problems in three unknowns by the backward method in Matrices-and-determiminant, by ikleyn(53646)   Seen 847 times.
• Two very different approaches to one word problem in Matrices-and-determiminant, by ikleyn(53646)   Seen 998 times.
• Sometime two equations are enough to find three unknowns by an UNIQUE way in Matrices-and-determiminant, by ikleyn(53646)   Seen 1478 times.
• Solving systems of non-linear equations in three unknowns using Cramer's rule in Matrices-and-determiminant, by ikleyn(53646)   Seen 5170 times.
• Using hidden symmetry to solve systems of linear equations in three unknowns in Matrices-and-determiminant, by ikleyn(53646)   Seen 79 times.
• The tricks to solve some word problems with three and more unknowns using mental math in Matrices-and-determiminant, by ikleyn(53646)   Seen 5511 times.
• Solving word problems by reducing to systems of linear equations in three unknowns in Matrices-and-determiminant, by ikleyn(53646)   Seen 17674 times.
• Solving systems of linear equations in three unknowns using determinant (Cramer's rule) in Matrices-and-determiminant, by ikleyn(53646)   Seen 3033 times.
• HOW TO solve system of linear equations in three unknowns using determinant (Cramer's rule) in Matrices-and-determiminant, by ikleyn(53646)   Seen 3622 times.
• Co-factoring the determinant of a 3x3 matrix in Matrices-and-determiminant, by ikleyn(53646)   Seen 4541 times.
• Determinant of a 3x3 matrix in Matrices-and-determiminant, by ikleyn(53646)   Seen 4327 times.
• ALGEBRA-I - YOUR ONLINE TEXTBOOK in Quadratic_Equations, by ikleyn(53646)   Seen 19972 times.
• OVERVIEW of lessons for word problems on finding numbers in Numbers_Word_Problems, by ikleyn(53646)   Seen 2249 times.
• Entertainment problems on finding numbers in Numbers_Word_Problems, by ikleyn(53646)   Seen 1032 times.
• Digit problems - Find the number using systems of linear equations in Numbers_Word_Problems, by ikleyn(53646)   Seen 3382 times.
• Find the numbers using system of equations in Numbers_Word_Problems, by ikleyn(53646)   Seen 1966 times.
• Find the number using quadratic equation in Numbers_Word_Problems, by ikleyn(53646)   Seen 1972 times.
• Find the number using a single linear equation in Numbers_Word_Problems, by ikleyn(53646)   Seen 2032 times.
• Simple and simplest word problems on finding numbers solved by different methods in Numbers_Word_Problems, by ikleyn(53646)   Seen 248 times.
• GEOMETRY - YOUR ONLINE TEXTBOOK in Triangles, by ikleyn(53646)   Seen 8797 times.
• OVERVIEW of my additional lessons on miscellaneous advanced Geometry problems in Geometry_Word_Problems, by ikleyn(53646)   Seen 777 times.
• Nice geometry problem of a Math Olympiad level in Geometry_Word_Problems, by ikleyn(53646)   Seen 923 times.
• A great Math Olympiad level Geometry problem in Geometry_Word_Problems, by ikleyn(53646)   Seen 1018 times.
• A cylindrical glass filled with water and then tilted to a horizon in Geometry_Word_Problems, by ikleyn(53646)   Seen 124 times.
• A partially filled cylindrical tank changes position from horizontal to vertical in Geometry_Word_Problems, by ikleyn(53646)   Seen 190 times.
• An upper level Geometry problem on special (15°,30°,135°)-triangle in Geometry_Word_Problems, by ikleyn(53646)   Seen 757 times.
• A sphere placed in an inverted cone in Geometry_Word_Problems, by ikleyn(53646)   Seen 308 times.
• A problem on three spheres in Geometry_Word_Problems, by ikleyn(53646)   Seen 258 times.
• Find the angle between sides of folded triangle in Geometry_Word_Problems, by ikleyn(53646)   Seen 588 times.
• Try to solve these nice Geometry problems ! in Geometry_Word_Problems, by ikleyn(53646)   Seen 283 times.
• A problem on equiangular but not equilateral octagon in Geometry_Word_Problems, by ikleyn(53646)   Seen 115 times.
• The fraction of the area of a regular octagon in Geometry_Word_Problems, by ikleyn(53646)   Seen 623 times.
• The area of a regular octagon in Geometry_Word_Problems, by ikleyn(53646)   Seen 540 times.
• A problem on a regular heptagon in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 606 times.
• A trapezoid divided in four triangles by its diagonals in Geometry_Word_Problems, by ikleyn(53646)   Seen 962 times.
• A square divided into three equal areas by two parallel lines in Geometry_Word_Problems, by ikleyn(53646)   Seen 191 times.
• Remarkable properties of triangles into which diagonals divide a quadrilateral in Geometry_Word_Problems, by ikleyn(53646)   Seen 486 times.
• Miscellaneous problems on parallelograms in Geometry_Word_Problems, by ikleyn(53646)   Seen 502 times.
• Miscellaneous geometric problems in Geometry_Word_Problems, by ikleyn(53646)   Seen 782 times.
• A radio transmitter accessibility area in Geometry_Word_Problems, by ikleyn(53646)   Seen 671 times.
• Find the rate of moving of the tip of a shadow in Geometry_Word_Problems, by ikleyn(53646)   Seen 769 times.
• OVERVIEW of lessons on Miscellaneous word problems in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 3254 times.
• OVERVIEW of additional lessons on Miscellaneous word problems in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 2041 times.
• OVERVIEW of my additional lessons on Miscellaneous word problems, section 3 in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 496 times.
• Upper class entertainment Math problems for all ages in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 494 times.
• Find a sequence of transformations of a given number to get a desired number in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 157 times.
• Math Olympiad level problem on divisibility numbers in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 202 times.
• Miscellaneous logical problems in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 665 times.
• Solving one special linear minimax problem in 100-D space by the Linear Programming method in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 465 times.
• Solving linear optimization problems without LP-method by reduction to linear function in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 314 times.
• Minimax linear problems to solve MENTALLY based on common sense in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1089 times.
• A solid cube is placed in a cylindrical tank displacing water in the tank in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 137 times.
• Solving problems by the Backward method in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 539 times.
• More complicated problems on finding number of elements in finite subsets in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 844 times.
• Math Olympiad level problem on placing books in bookcase in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1082 times.
• Math Olympiad level problem on pigeonhole principle in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1637 times.
• Math Olympiad level problem on caught fishes in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1337 times.
• Math Olympiad level problem on caves and bats in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 3103 times.
• Stars and bars method for Combinatorics problems in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 2954 times.
• Nice entertainment problems related to divisibility property in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1075 times.
• In preparation for Halloween in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1178 times.
• Wrapping a gift in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1445 times.
• Nice problems to setup them using Venn diagram in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1408 times.
• How many integer numbers in the range 1-300 are divisible by at least one of the integers 4, 6 and 15 ? in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 2709 times.
• Selected problems on counting elements in subsets of a given finite set in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1434 times.
• Page numbers on the left and right facing pages of an opened book in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 2117 times.
• In the worst case in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 2893 times.
• The "pigeonhole principle" problems in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 2092 times.
• Solving integer Linear Programming problems in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1660 times.
• Solving linear minimax problem in three unknowns by the simplex method in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1895 times.
• Solving non-linear minimax problems in 3D space in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1227 times.
• Solving some linear minimax problems in 3D space in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1387 times.
• Calculus optimization problems for 3D shapes in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 5136 times.
• Calculus optimization problems for shapes in 2D plane in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 2317 times.
• Prove that if a, b, and c are the sides of a triangle, then so are sqrt(a), sqrt(b) and sqrt(c) in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1506 times.
• Advanced logical problems in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 5095 times.
• What are the last two digits of the number 3^123 + 7^123 + 9^123 in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 2692 times.
• Find the last three digits of these numbers in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1538 times.
• What is the last digit of the number a^n ? in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1436 times.
• How many boys and how many girls are there in a family ? in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1783 times.
• In a jar, all but 6 are red marbles in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 2107 times.
• I do not have enough savings now in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1799 times.
• Miscellaneous word problems for the day of April, 1 in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1227 times.
• More complicated but still elementary logic problems in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1780 times.
• Classic entertainment problems in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1571 times.
• One unusual mimimax problem on joint work in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1717 times.
• Solving minimax problems by the Linear Programming method in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 6073 times.
• Three circles touching externally in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1762 times.
• Finding the value of infinite continued fraction in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1747 times.
• Gaining clock problem in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 2279 times.
• Burning candles in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 5148 times.
• Water level rise in a tank after submerging bodies in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 6014 times.
• The gardener's problem on a miracle tree in an enchanted garden in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1669 times.
• Three grasshoppers play leapfrog along a line in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 2107 times.
• How many lollipops do the children have? in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1923 times.
• Tom the cat is brushing up his Math skills in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 3619 times.
• How many coconuts are there in each of five baskets? in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 3060 times.
• HOW TO algebreze and solve these problems? in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1896 times.
• Had they sold . . . in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 2465 times.
• Challenging problems on counting elements in subsets of a given finite set in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 1589 times.
• Advanced problems on counting elements in sub-sets of a given finite set in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 3223 times.
• In how many ways the number 27720 can be split into a product of two co-prime factors? in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 3327 times.
• How many subsets are there in a given finite set of n elements? in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 10186 times.
• Counting elements in sub-sets of a given finite set in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 4421 times.
• Spending money according to dates in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 2570 times.
• Word problems on reversing digits of numbers in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 14217 times.
• Virtual exchange between two persons in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 2022 times.
• What type of problems are these? in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 2429 times.
• Problem on pills in containers in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 4287 times.
• Problem on animals at a farm in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 13989 times.
• Problem on two-wheel and three-wheel bicycles in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 6363 times.
• HOW TO algebreze and to solve word problems on numbers? in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 5567 times.
• Some logic problems in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 15171 times.
• Arithmetic PROBLEMS - your online textbook in Numeric_Fractions, by ikleyn(53646)   Seen 1012 times.
• OVERVIEW of the second group of lessons on arithmetic word problems in Numeric_Fractions, by ikleyn(53646)   Seen 920 times.
• Entertainment minimax problems that seem to be complicated, but in reality are simple in Numeric_Fractions, by ikleyn(53646)   Seen 961 times.
• Entertainment arithmetic word problems solved in a right way in Numeric_Fractions, by ikleyn(53646)   Seen 1287 times.
• Logic problems in Numeric_Fractions, by ikleyn(53646)   Seen 889 times.
• Smart "trial and error" method solving arithmetic word problems in Numeric_Fractions, by ikleyn(53646)   Seen 771 times.
• Counting elements in finite sets and subsets in Numeric_Fractions, by ikleyn(53646)   Seen 909 times.
• Simple arithmetic problems to solve by a backward method in Numeric_Fractions, by ikleyn(53646)   Seen 1850 times.
• Clock hands arithmetic word problems in Numeric_Fractions, by ikleyn(53646)   Seen 1580 times.
• Arithmetic word problems solved using fractions in Numeric_Fractions, by ikleyn(53646)   Seen 1911 times.
• Arithmetic mixture problems on dilution mixtures or making mixtures stronger in Numeric_Fractions, by ikleyn(53646)   Seen 690 times.
• Arithmetic word problems on mixtures in Numeric_Fractions, by ikleyn(53646)   Seen 658 times.
• Arithmetic problems on submerging solid bodies into water in containers in Numeric_Fractions, by ikleyn(53646)   Seen 960 times.
• Simple problems on filling or emptying a pool or a reservoir in Numeric_Fractions, by ikleyn(53646)   Seen 2267 times.
• OVERVIEW of the first group of lessons on arithmetic word problems in Numeric_Fractions, by ikleyn(53646)   Seen 1908 times.
• Flying back and forth in Numeric_Fractions, by ikleyn(53646)   Seen 743 times.
• Finding travel time and average rate in Numeric_Fractions, by ikleyn(53646)   Seen 865 times.
• Advanced arithmetic word problems on Travel & Distance in Numeric_Fractions, by ikleyn(53646)   Seen 787 times.
• Other basic arithmetic Travel & Distance problems in Numeric_Fractions, by ikleyn(53646)   Seen 736 times.
• Entertaining catching up arithmetic Travel & Distance problems in Numeric_Fractions, by ikleyn(53646)   Seen 695 times.
• Typical arithmetic Travel & Distance problems in Numeric_Fractions, by ikleyn(53646)   Seen 708 times.
• Simple and simplest arithmetic Travel & Distance problems in Numeric_Fractions, by ikleyn(53646)   Seen 832 times.
• Simple arithmetic word problems on "rate of work" in Numeric_Fractions, by ikleyn(53646)   Seen 1146 times.
• Arithmetic coin problems in Numeric_Fractions, by ikleyn(53646)   Seen 828 times.
• Simple arithmetic word problems solved in a right way in Numeric_Fractions, by ikleyn(53646)   Seen 1827 times.
• Solving arithmetic word problems by reasoning in Numeric_Fractions, by ikleyn(53646)   Seen 1869 times.
• Arithmetic word problems to solve them MENTALLY in Numeric_Fractions, by ikleyn(53646)   Seen 1059 times.
• OVERVIEW of lessons on rate-of-work problems in Rate-of-work-word-problems, by ikleyn(53646)   Seen 8155 times.
• Joint work word problem for the day of April, 1 in Rate-of-work-word-problems, by ikleyn(53646)   Seen 2792 times.
• Entertainment problems on joint work in Rate-of-work-word-problems, by ikleyn(53646)   Seen 1281 times.
• Snow removal problem in Rate-of-work-word-problems, by ikleyn(53646)   Seen 1243 times.
• Special joint work problems that admit and require an alternative solution method in Rate-of-work-word-problems, by ikleyn(53646)   Seen 2541 times.
• One unusual joint work problem in Rate-of-work-word-problems, by ikleyn(53646)   Seen 2710 times.
• Had there were more workers, the job would be completed sooner in Rate-of-work-word-problems, by ikleyn(53646)   Seen 2700 times.
• HOW TO algebreze and solve these joint work problems ? in Rate-of-work-word-problems, by ikleyn(53646)   Seen 1629 times.
• Joint-work problems for 3 participants in Rate-of-work-word-problems, by ikleyn(53646)   Seen 9254 times.
• Selected joint-work word problems from the archive in Rate-of-work-word-problems, by ikleyn(53646)   Seen 4155 times.
• Solving joint work problems by reasoning in Rate-of-work-word-problems, by ikleyn(53646)   Seen 2670 times.
• Solving rate of work problem by reducing to a system of linear equations in Rate-of-work-word-problems, by ikleyn(53646)   Seen 6880 times.
• Using quadratic equations to solve word problems on joint work in Rate-of-work-word-problems, by ikleyn(53646)   Seen 15358 times.
• Solving more complicated word problems on joint work in Rate-of-work-word-problems, by ikleyn(53646)   Seen 9266 times.
• Using fractions to solve word problems on joint work in Rate-of-work-word-problems, by ikleyn(53646)   Seen 18211 times.
• Rate of work problems in Rate-of-work-word-problems, by ikleyn(53646)   Seen 9761 times.
• OVERVIEW of lessons on word problems for mixtures in Mixture_Word_Problems, by ikleyn(53646)   Seen 5114 times.
• Entertainment problems on mixtures in Mixture_Word_Problems, by ikleyn(53646)   Seen 1268 times.
• Using effective methodology to solve many-steps dilution problems in Mixture_Word_Problems, by ikleyn(53646)   Seen 588 times.
• Advanced problems on draining and replacing in Mixture_Word_Problems, by ikleyn(53646)   Seen 1398 times.
• How much water must be evaporated in Mixture_Word_Problems, by ikleyn(53646)   Seen 1649 times.
• How many kilograms of sand must be added to a mixture of sand and cement in Mixture_Word_Problems, by ikleyn(53646)   Seen 1234 times.
• Increasing concentration of alcohol solution by adding pure alcohol in Mixture_Word_Problems, by ikleyn(53646)   Seen 1182 times.
• Increasing concentration of an acid solution by adding pure acid in Mixture_Word_Problems, by ikleyn(53646)   Seen 1164 times.
• Special type mixture problems on DILUTION adding water in Mixture_Word_Problems, by ikleyn(53646)   Seen 2461 times.
• Check if you know the basics of mixtures from Science in Mixture_Word_Problems, by ikleyn(53646)   Seen 1857 times.
• Unusual word problem on mixtures in Mixture_Word_Problems, by ikleyn(53646)   Seen 1836 times.
• Advanced mixture problem for three alloys in Mixture_Word_Problems, by ikleyn(53646)   Seen 3430 times.
• Advanced mixture problems in Mixture_Word_Problems, by ikleyn(53646)   Seen 3757 times.
• Typical word problems on mixtures from the archive in Mixture_Word_Problems, by ikleyn(53646)   Seen 3173 times.
• Word problems on mixtures for alloys in Mixture_Word_Problems, by ikleyn(53646)   Seen 9618 times.
• Word problems on mixtures for dry substances like soil and sand in Mixture_Word_Problems, by ikleyn(53646)   Seen 3405 times.
• Word problems on mixtures for dry substances like candies, dried fruits in Mixture_Word_Problems, by ikleyn(53646)   Seen 5764 times.
• Word problems on mixtures for dry substances like coffee beans, nuts, cashew and peanuts in Mixture_Word_Problems, by ikleyn(53646)   Seen 8821 times.
• Word problems on mixtures for antifreeze solutions in Mixture_Word_Problems, by ikleyn(53646)   Seen 8190 times.
• Solving typical word problems on mixtures for solutions in Mixture_Word_Problems, by ikleyn(53646)   Seen 9015 times.
• More Mixture problems in Mixture_Word_Problems, by ikleyn(53646)   Seen 31440 times.
• Mixture problems in Mixture_Word_Problems, by ikleyn(53646)   Seen 57402 times.
• Draining-replacing mixture problems in Mixture_Word_Problems, by ikleyn(53646)   Seen 3152 times.
• OVERVIEW of lessons on solving exponential equations in logarithm, by ikleyn(53646)   Seen 2097 times.
• Solving problems on population growth using logistic functions in logarithm, by ikleyn(53646)   Seen 1320 times.
• Joke problems on solving exponential equations in logarithm, by ikleyn(53646)   Seen 904 times.
• Solving upper level exponential equations in logarithm, by ikleyn(53646)   Seen 949 times.
• Solving exponential inequalities in logarithm, by ikleyn(53646)   Seen 1331 times.
• Solving advanced exponential equations in logarithm, by ikleyn(53646)   Seen 2008 times.
• Solving exponential equations in logarithm, by ikleyn(53646)   Seen 10499 times.
• OVERVIEW of lessons on logarithms, logarithmic equations and relevant word problems, section 2 in logarithm, by ikleyn(53646)   Seen 166 times.
• Solving logarithmic equation of the level even higher than upper in logarithm, by ikleyn(53646)   Seen 517 times.
• More problems on logarithmic equations in logarithm, by ikleyn(53646)   Seen 176 times.
• OVERVIEW of lessons on logarithms, logarithmic equations and relevant word problems in logarithm, by ikleyn(53646)   Seen 5544 times.
• Upper level problems on solving logarithmic equations in logarithm, by ikleyn(53646)   Seen 1014 times.
• Entertainment problems on exponential growth in logarithm, by ikleyn(53646)   Seen 2012 times.
• Entertainment problems on logarithms in logarithm, by ikleyn(53646)   Seen 2200 times.
• Entertainment problem: Uninterrupted withdrawing money from a retirement fund in logarithm, by ikleyn(53646)   Seen 1356 times.
• Tricky problem on solving a logarithmic system of equations in logarithm, by ikleyn(53646)   Seen 1769 times.
• Problems on continuously compound accounts in logarithm, by ikleyn(53646)   Seen 2691 times.
• Problems on discretely compound accounts in logarithm, by ikleyn(53646)   Seen 2824 times.
• Miscellaneous problems on exponential growth/decay in logarithm, by ikleyn(53646)   Seen 1778 times.
• Inflation and Salary problems in logarithm, by ikleyn(53646)   Seen 3627 times.
• Problems on appreciated/depreciated values in logarithm, by ikleyn(53646)   Seen 2649 times.
• A medication decay in a human's body in logarithm, by ikleyn(53646)   Seen 1850 times.
• Bacteria growth problems in logarithm, by ikleyn(53646)   Seen 19397 times.
• Carbon dating problems in logarithm, by ikleyn(53646)   Seen 7646 times.
• Radioactive decay problems in logarithm, by ikleyn(53646)   Seen 10741 times.
• Population growth problems in logarithm, by ikleyn(53646)   Seen 8668 times.
• Solving problem on Newton Law of cooling in logarithm, by ikleyn(53646)   Seen 5597 times.
• Using logarithms to solve real world problems in logarithm, by ikleyn(53646)   Seen 78723 times.
• Solving logarithmic inequalities in logarithm, by ikleyn(53646)   Seen 4220 times.
• Proving equalities with logarithms in logarithm, by ikleyn(53646)   Seen 2116 times.
• Solving really interesting and educative problem on logarithmic equation containing a HUGE underwater stone in logarithm, by ikleyn(53646)   Seen 1017 times.
• Solving advanced logarithmic equations in logarithm, by ikleyn(53646)   Seen 2302 times.
• Solving logarithmic equations in logarithm, by ikleyn(53646)   Seen 11529 times.
• Simplifying expressions with logarithms in logarithm, by ikleyn(53646)   Seen 2229 times.
• Evaluate logarithms without using a calculator in logarithm, by ikleyn(53646)   Seen 3245 times.
• Change of Base Formula for logarithms in logarithm, by ikleyn(53646)   Seen 14591 times.
• Properties of the logarithm in logarithm, by ikleyn(53646)   Seen 22479 times.
• WHAT IS the logarithm in logarithm, by ikleyn(53646)   Seen 10121 times.
• OVERVIEW of lessons on age problems in Age_Word_Problems, by ikleyn(53646)   Seen 6704 times.
• Age problem for the day of April, 1 in Age_Word_Problems, by ikleyn(53646)   Seen 3124 times.
• Entertainment age problems in Age_Word_Problems, by ikleyn(53646)   Seen 1307 times.
• Miscellaneous age problems in Age_Word_Problems, by ikleyn(53646)   Seen 2344 times.
• Age problems with a defective sum of ages in Age_Word_Problems, by ikleyn(53646)   Seen 4588 times.
• Some unusual age problem in Age_Word_Problems, by ikleyn(53646)   Seen 2966 times.
• Age problem for three participants in Age_Word_Problems, by ikleyn(53646)   Seen 4042 times.
• Age problems for mental solution in Age_Word_Problems, by ikleyn(53646)   Seen 3532 times.
• Challenging age word problems in Age_Word_Problems, by ikleyn(53646)   Seen 7965 times.
• Intricate age word problems in Age_Word_Problems, by ikleyn(53646)   Seen 6082 times.
• A fresh formulation of a traditional age problem in Age_Word_Problems, by ikleyn(53646)   Seen 6336 times.
• HOW TO algebraize and to solve age problems? in Age_Word_Problems, by ikleyn(53646)   Seen 2756 times.
• Age problems and their solutions in Age_Word_Problems, by ikleyn(53646)   Seen 264656 times.
• OVERVIEW of lessons on Probability, section 3 in Probability-and-statistics, by ikleyn(53646)   Seen 1141 times.
• Probability problems similar to a coinciding birthdays problem in Probability-and-statistics, by ikleyn(53646)   Seen 1034 times.
• Probability poblems on long chains of related events in Probability-and-statistics, by ikleyn(53646)   Seen 999 times.
• Upper League geometric probability problems in Probability-and-statistics, by ikleyn(53646)   Seen 924 times.
• Upper league problems on conditional probability in Probability-and-statistics, by ikleyn(53646)   Seen 1100 times.
• Upper league problem to maximize winning in a game with 20-sided rolling die in Probability-and-statistics, by ikleyn(53646)   Seen 1321 times.
• Upper league probability problems on Stars and Bars methodology in Probability-and-statistics, by ikleyn(53646)   Seen 1113 times.
• Upper league entertainment probability problems in Probability-and-statistics, by ikleyn(53646)   Seen 974 times.
• A Math circle level probability problem on a lottery game in Probability-and-statistics, by ikleyn(53646)   Seen 666 times.
• Probability problem on winning a many-rounds game in Probability-and-statistics, by ikleyn(53646)   Seen 724 times.
• Probability problems on games in Probability-and-statistics, by ikleyn(53646)   Seen 866 times.
• Probabilistic analysis of testing procedures in industry in Probability-and-statistics, by ikleyn(53646)   Seen 1069 times.
• Probabilistic analysis of testing procedures in health care in Probability-and-statistics, by ikleyn(53646)   Seen 1188 times.
• Accepting/rejecting shipments via acceptance procedures in Probability-and-statistics, by ikleyn(53646)   Seen 720 times.
• Problems on computing density probability distribution functions in Probability-and-statistics, by ikleyn(53646)   Seen 288 times.
• Advanced probability problems on binomial distribution in Probability-and-statistics, by ikleyn(53646)   Seen 1193 times.
• Binomial distribution problem on M&M peanuts in Probability-and-statistics, by ikleyn(53646)   Seen 177 times.
• Binomial distribution problems on overbooking flights in Probability-and-statistics, by ikleyn(53646)   Seen 2142 times.
• Miscellaneous binomial distribution problems in Probability-and-statistics, by ikleyn(53646)   Seen 1455 times.
• Using cumulative sums and relevant standard functions to solve problems on Binomial Distributions in Probability-and-statistics, by ikleyn(53646)   Seen 936 times.
• Advanced probability problems related to combinations in Probability-and-statistics, by ikleyn(53646)   Seen 1280 times.
• A company bids on two separate contracts in Probability-and-statistics, by ikleyn(53646)   Seen 1121 times.
• Probabilistic analysis of a court verdicts in Probability-and-statistics, by ikleyn(53646)   Seen 1171 times.
• OVERVIEW of lessons on Miscellaneous adavanced Geometry problems in Geometry_Word_Problems, by ikleyn(53646)   Seen 2332 times.
• Nice entertainment Geometry problems in Geometry_Word_Problems, by ikleyn(53646)   Seen 1653 times.
• Find a triangle with integer side lengths and integer area in Geometry_Word_Problems, by ikleyn(53646)   Seen 990 times.
• On non-existing a solution to one trisection angle problem in Geometry_Word_Problems, by ikleyn(53646)   Seen 901 times.
• Packing bottles into a box in Geometry_Word_Problems, by ikleyn(53646)   Seen 1839 times.
• Finding pyramidal frustum volume in Geometry_Word_Problems, by ikleyn(53646)   Seen 2938 times.
• Selected problems on triangles similarity in Geometry_Word_Problems, by ikleyn(53646)   Seen 1549 times.
• Determine the type of a triangle in Geometry_Word_Problems, by ikleyn(53646)   Seen 1699 times.
• Finding the common/shared area of two triangles in Geometry_Word_Problems, by ikleyn(53646)   Seen 1693 times.
• Advanced problems on finding area of right-angled triangles in Geometry_Word_Problems, by ikleyn(53646)   Seen 1649 times.
• Solving some minimax Geometry problems in Geometry_Word_Problems, by ikleyn(53646)   Seen 1100 times.
• Geometric solution to one minimax problem in Geometry_Word_Problems, by ikleyn(53646)   Seen 1402 times.
• Finding the distanse from a point in 3D to a plane in Geometry_Word_Problems, by ikleyn(53646)   Seen 2235 times.
• Two parallel chords in intersecting circles in Geometry_Word_Problems, by ikleyn(53646)   Seen 2444 times.
• Three circles touching externally in Geometry_Word_Problems, by ikleyn(53646)   Seen 2468 times.
• A problem on a circle toushing another circle internally in Geometry_Word_Problems, by ikleyn(53646)   Seen 2110 times.
• Two circles tangent externally and touching a given straight line in Geometry_Word_Problems, by ikleyn(53646)   Seen 1714 times.
• Find the volume and the dimensions of a rectangular box if the areas of its faces are given in Geometry_Word_Problems, by ikleyn(53646)   Seen 3058 times.
• Problems on surface area of a rectangular box in Geometry_Word_Problems, by ikleyn(53646)   Seen 1835 times.
• The point which minimizes the sum of distances to vertices of a given quadrilateral in Geometry_Word_Problems, by ikleyn(53646)   Seen 6201 times.
• Find the side of a square if distances are given from an interior point to 3 its vertices in Geometry_Word_Problems, by ikleyn(53646)   Seen 2685 times.
• Determine the standard form equation of the circle inscribed in a triangle in Geometry_Word_Problems, by ikleyn(53646)   Seen 1552 times.
• Center of the given circle is the incenter of the given triangle in Geometry_Word_Problems, by ikleyn(53646)   Seen 1648 times.
• Find the perimeter of a triangle obtained by adding uniform strip to a given triangle in Geometry_Word_Problems, by ikleyn(53646)   Seen 1454 times.
• Area of a triangle obtained by cutting uniform strips from the given triangle in Geometry_Word_Problems, by ikleyn(53646)   Seen 1522 times.
• Finding the hypotenuse of a right-angled triangle via its two medians in Geometry_Word_Problems, by ikleyn(53646)   Seen 1693 times.
• Two unit squares sharing the same center but turned (rotated) each relative the other in Geometry_Word_Problems, by ikleyn(53646)   Seen 1050 times.
• Selected problems from the archive on the area of plane shapes in Geometry_Word_Problems, by ikleyn(53646)   Seen 1771 times.
• Advanced problem on squares built externally on sides of an arbitrary triangle in Geometry_Word_Problems, by ikleyn(53646)   Seen 1858 times.
• Advanced problem on equilateral triangles built externally on sides of an arbitrary triangle in Geometry_Word_Problems, by ikleyn(53646)   Seen 3363 times.
• Triangle with the sides ratio 4:5:6 has the smallest angle measure half of the biggest angle in Geometry_Word_Problems, by ikleyn(53646)   Seen 6730 times.
• OVERVIEW of miscellanious solved problems on divisibility of integer numbers in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 3734 times.
• Using the little Fermat's theorem to solve a problem on modular arithmetic in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 1356 times.
• Solving problems on modular arithmetic in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 1789 times.
• Nice entertainment problems related to divisibility properties in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 2176 times.
• Math Circle level problem on lockers and divisors of integer numbers in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 2387 times.
• Math circle level problem on the hundred-handed monster Briareus in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 848 times.
• Find a triangle with integer side lengths and integer area in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 1825 times.
• Two-digit numbers with digit "9" in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 1500 times.
• Find the sum of digits of integer numbers in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 1996 times.
• Miscellaneous problems on divisibility numbers in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 2215 times.
• How many integers of the form n^2 + 18n + 13 are perfect squares in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 1288 times.
• Solving Diophantine equations in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 2677 times.
• Find n-th term of a sequence in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 1296 times.
• Find the last two digits of (1! + 2! + 3! + ... + 2024!)^2024 in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 1036 times.
• Find the last three digits of these numbers in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 3651 times.
• What is the last digit of the number a^n ? in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 1947 times.
• Why 3^n + 7^n - 2 is divisible by 8 for all positive integer n ? in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 1113 times.
• Find the remainder of division in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 1751 times.
• How many integer numbers in the range 1-300 are divisible by at least one of the integers 4, 6 and 15 ? in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 2604 times.
• How many 3-digit numbers are not divisible by 2; not divisible by 3; not divisible by either 2 or 3 in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 4568 times.
• How many three-digit numbers are multiples of both 5 and 7? in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 2332 times.
• Problems on divisors of a given number in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 2715 times.
• Composite number of the form (4n+3) must have a prime divisor of the form (4n+3) in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 1808 times.
• Proving an equation has no integer solutions in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 5779 times.
• Quadratic polynomial with odd integer coefficients can not have a rational root in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 3998 times.
• Solving equations in integer numbers in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 1779 times.
• Relatively prime numbers help to solve problems in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 2773 times.
• Finding Greatest Common Divisor of integer numbers in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 3803 times.
• Introductory problems on divisibility of integer numbers in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 2908 times.
• The number which gives remainder 4 when divided by 7, remainder 5 when divided by 8 and remainder 6 when divided by 9 in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 2346 times.
• The number that leaves a remainder 1 when divided by 2, by 3, by 4, by 5 and so on until 9 in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 6175 times.
• Light flashes on a Christmas tree and a Least Common Multiple in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 2534 times.
• OVERVIEW of lessons on plotting and analyzing functions in Coordinate-system, by ikleyn(53646)   Seen 1468 times.
• Special advanced problems on finding the range of functions in Coordinate-system, by ikleyn(53646)   Seen 941 times.
• Special advanced problems on finding the domain of functions in Coordinate-system, by ikleyn(53646)   Seen 628 times.
• Given a point on a plot of a function, find the corresponding point on the plot of transformed function in Coordinate-system, by ikleyn(53646)   Seen 1043 times.
• Miscellaneous problems on plots of functions in Coordinate-system, by ikleyn(53646)   Seen 1169 times.
• Finding inverse functions in Coordinate-system, by ikleyn(53646)   Seen 1223 times.
• Constructing a function based on its given properties in Coordinate-system, by ikleyn(53646)   Seen 1305 times.
• Writing a function rule for a function based on its wording description in Coordinate-system, by ikleyn(53646)   Seen 1109 times.
• Describe transformations from the given parent function to final function in Coordinate-system, by ikleyn(53646)   Seen 1055 times.
• Write a function which is a result of given transformations of the parent function in Coordinate-system, by ikleyn(53646)   Seen 1186 times.
• The domain and the range of transformed functions in Coordinate-system, by ikleyn(53646)   Seen 2427 times.
• Do not fall into a TRAP when analyzing problems on trigonometric functions in Coordinate-system, by ikleyn(53646)   Seen 971 times.
• Analyzing periodic trigonometric functions for the amplitude, the period, vertical and horizontal shifts in Coordinate-system, by ikleyn(53646)   Seen 1530 times.
• HOW TO PLOT transformed periodic trigonometry functions in Coordinate-system, by ikleyn(53646)   Seen 1181 times.
• HOW TO write functions for transformed plots in Coordinate-system, by ikleyn(53646)   Seen 1350 times.
• HOW TO PLOT transformed functions in Coordinate-system, by ikleyn(53646)   Seen 1332 times.
• Compressing and stretching graphs in Coordinate-system, by ikleyn(53646)   Seen 1280 times.
• Finding x-intercepts and y-intercepts in Coordinate-system, by ikleyn(53646)   Seen 1428 times.
• OVERVIEW of lessons on percentage problems in Percentage-and-ratio-word-problems, by ikleyn(53646)   Seen 6380 times.
• Business-related entertainment problem on percentage in Percentage-and-ratio-word-problems, by ikleyn(53646)   Seen 3103 times.
• Buying price, selling price and profit percentage problems in Percentage-and-ratio-word-problems, by ikleyn(53646)   Seen 3721 times.
• Compounded interest percentage problems in percentage, by ikleyn(53646)   Seen 5467 times.
• Simple interest percentage problems in percentage, by ikleyn(53646)   Seen 5231 times.
• Problems on percentage that lead to unexpected results in Percentage-and-ratio-word-problems, by ikleyn(53646)   Seen 5201 times.
• Percentage problems on chains of discounts in percentage, by ikleyn(53646)   Seen 5138 times.
• Advanced problems on percentage in Percentage-and-ratio-word-problems, by ikleyn(53646)   Seen 13996 times.
• More complicated percentage problems in Percentage-and-ratio-word-problems, by ikleyn(53646)   Seen 8115 times.
• Simple percentage problems in Percentage-and-ratio-word-problems, by ikleyn(53646)   Seen 4166 times.
• Percentage word problems (Type 3 problems, Finding the Base) in Percentage-and-ratio-word-problems, by ikleyn(53646)   Seen 150836 times.
• Percentage word problems (Type 2 problems, Finding the Rate) in Percentage-and-ratio-word-problems, by ikleyn(53646)   Seen 48747 times.
• Percentage word problems (Type 1 problems, Finding the Part) in Percentage-and-ratio-word-problems, by ikleyn(53646)   Seen 41038 times.
• Percentage problems in percentage, by ikleyn(53646)   Seen 45325 times.
• OVERVIEW of additional lessons on Travel and Distance - section 3 in Travel_Word_Problems, by ikleyn(53646)   Seen 421 times.
• One car passing another car in Travel_Word_Problems, by ikleyn(53646)   Seen 216 times.
• A kayaker and an orca - simple, elegant and unexpectedly short solution in Travel_Word_Problems, by ikleyn(53646)   Seen 235 times.
• Three kids get home from school using a tandem bike and walk in Travel_Word_Problems, by ikleyn(53646)   Seen 503 times.
• Two ships in parallel courses in ocean at restricted visibility in Travel_Word_Problems, by ikleyn(53646)   Seen 514 times.
• Traveling on moving walkway in Travel_Word_Problems, by ikleyn(53646)   Seen 527 times.
• OVERVIEW of lessons on the Method of Mathematical induction in Sequences-and-series, by ikleyn(53646)   Seen 2100 times.
• Proving inequalities by the method of Mathematical Induction in Sequences-and-series, by ikleyn(53646)   Seen 20282 times.
• Mathematical induction method for the sum of the 5th degrees of the first n natural numbers in Sequences-and-series, by ikleyn(53646)   Seen 267 times.
• Mathematical induction for sequences other than arithmetic or geometric in Sequences-and-series, by ikleyn(53646)   Seen 6853 times.
• Mathematical induction and geometric progressions in Sequences-and-series, by ikleyn(53646)   Seen 13186 times.
• Mathematical induction and arithmetic progressions in Sequences-and-series, by ikleyn(53646)   Seen 16466 times.
• OVERVIEW of lessons on geometric progressions in Sequences-and-series, by ikleyn(53646)   Seen 4093 times.
• Miscellaneous problems on retirement plans in Sequences-and-series, by ikleyn(53646)   Seen 3641 times.
• Withdrawing a certain amount of money periodically from a compounded saving account in Sequences-and-series, by ikleyn(53646)   Seen 2569 times.
• Finding present value of an annuity, or an equivalent amount in today's dollars in Sequences-and-series, by ikleyn(53646)   Seen 1607 times.
• Solved problems on Ordinary Annuity saving plans in Sequences-and-series, by ikleyn(53646)   Seen 6646 times.
• Annuity Due saving plans and geometric progressions in Sequences-and-series, by ikleyn(53646)   Seen 7180 times.
• Ordinary Annuity saving plans and geometric progressions in Sequences-and-series, by ikleyn(53646)   Seen 6656 times.
• Entertainment problems on geometric progressions in Sequences-and-series, by ikleyn(53646)   Seen 1712 times.
• Fresh, sweet and crispy problem on arithmetic and geometric progressions in Sequences-and-series, by ikleyn(53646)   Seen 2416 times.
• One characteristic property of geometric progressions in Sequences-and-series, by ikleyn(53646)   Seen 5630 times.
• Word problems on geometric progressions in Sequences-and-series, by ikleyn(53646)   Seen 13785 times.
• Solved problems on geometric progressions in Sequences-and-series, by ikleyn(53646)   Seen 4493 times.
• Problems on geometric progressions in Sequences-and-series, by ikleyn(53646)   Seen 27214 times.
• The proofs of the formulas for geometric progressions in Sequences-and-series, by ikleyn(53646)   Seen 4677 times.
• Geometric progressions in Sequences-and-series, by ikleyn(53646)   Seen 14766 times.
• OVERVIEW of lessons on arithmetic progressions in Sequences-and-series, by ikleyn(53646)   Seen 5135 times.
• Entertainment problems on arithmetic progressions in Sequences-and-series, by ikleyn(53646)   Seen 1632 times.
• Problems on arithmetic progressions solved MENTALLY in Sequences-and-series, by ikleyn(53646)   Seen 1991 times.
• Math Olympiad level problems on arithmetic progression in Sequences-and-series, by ikleyn(53646)   Seen 6609 times.
• Interior angles of a polygon and Arithmetic progression in Sequences-and-series, by ikleyn(53646)   Seen 1913 times.
• Advanced problems on arithmetic progressions in Sequences-and-series, by ikleyn(53646)   Seen 3323 times.
• Inserting arithmetic means between given numbers in Sequences-and-series, by ikleyn(53646)   Seen 1941 times.
• Finding number of terms of an arithmetic progression in Sequences-and-series, by ikleyn(53646)   Seen 2123 times.
• Calculating partial sums of arithmetic progressions in Sequences-and-series, by ikleyn(53646)   Seen 1860 times.
• Solved problems on arithmetic progressions in Sequences-and-series, by ikleyn(53646)   Seen 4442 times.
• One characteristic property of arithmetic progressions in Sequences-and-series, by ikleyn(53646)   Seen 6806 times.
• Increments of a quadratic function form an arithmetic progression in Sequences-and-series, by ikleyn(53646)   Seen 5614 times.
• Uniformly accelerated motions and arithmetic progressions in Sequences-and-series, by ikleyn(53646)   Seen 6175 times.
• Free fall and arithmetic progressions in Sequences-and-series, by ikleyn(53646)   Seen 8583 times.
• Chocolate bars and arithmetic progressions in Sequences-and-series, by ikleyn(53646)   Seen 9316 times.
• Word problems on arithmetic progressions in Sequences-and-series, by ikleyn(53646)   Seen 52775 times.
• Problems on arithmetic progressions in Sequences-and-series, by ikleyn(53646)   Seen 31764 times.
• The proofs of the formulas for arithmetic progressions in Sequences-and-series, by ikleyn(53646)   Seen 21684 times.
• Arithmetic progressions in Sequences-and-series, by ikleyn(53646)   Seen 34611 times.
• Finding the minimum of a function defined on a curve in a coordinate plane in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 610 times.
• Finding the volume of a solid body mentally in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 404 times.
• OVERVIEW of my lessons on Calculus word problems in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 650 times.
• Find the volume of a solid obtained by rotation of some plane shape about an axis in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 643 times.
• Minimize surface area of a conical paper cup with the given volume in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 551 times.
• Minimize the cost of an aquarium with the given volume in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 645 times.
• Minimize surface area of a rectangular box with the given volume in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 680 times.
• Maximize the volume of an open box in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 561 times.
• Maximize the area of a trapezoid in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 474 times.
• Tricky solution to find the maximum of a function defined by a complicated expression in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 540 times.
• Couple of non-standard Calculus problems in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 506 times.
• A tricky Calculus problem on derivative and anti-derivative in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 538 times.
• Find the range of f(x) = (5*cos(x))/(x + 1)), x >=0 in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 135 times.
• Find the derivative for a function satisfying given functional equation in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 567 times.
• Taking derivative of a function, which is defined implicitly in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 644 times.
• Find the derivative of a function defined by complicated expression in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 617 times.
• Finding rate of change of some processes in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 548 times.
• A ladder foot slides on the ground in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 530 times.
• OVERVIEW of lessons on Binomial Expansion, Binomial coefficients and the Pascal's triangle in Permutations, by ikleyn(53646)   Seen 2364 times.
• Math circle level problem on binomial coefficients in Permutations, by ikleyn(53646)   Seen 1649 times.
• Solving equations that include binomial coefficients and numbers of permutations in Permutations, by ikleyn(53646)   Seen 1766 times.
• Solved problems on binomial coefficients in Permutations, by ikleyn(53646)   Seen 2931 times.
• The Pascal's triangle in Permutations, by ikleyn(53646)   Seen 8282 times.
• Remarkable identities for Binomial Coefficients in Permutations, by ikleyn(53646)   Seen 5473 times.
• Binomial Theorem, Binomial Formula, Binomial Coefficients and Binomial Expansion in Permutations, by ikleyn(53646)   Seen 10937 times.
• OVERVIEW of additional combinatorics problems in Permutations, by ikleyn(53646)   Seen 794 times.
• This nice problem teaches to distinguish permutations from combinations in Permutations, by ikleyn(53646)   Seen 330 times.
• Upper level combinatorics problem on finding the number of arrangements along a straight line in Permutations, by ikleyn(53646)   Seen 603 times.
• Upper level combinatorics problems on Inclusion-Exclusion principle in Permutations, by ikleyn(53646)   Seen 680 times.
• A confusing combinatorial problem on repeating digits in numbers in Permutations, by ikleyn(53646)   Seen 902 times.
• Upper level combinatorics problem on subsets of a finite set in Permutations, by ikleyn(53646)   Seen 844 times.
• Upper level problems on a party of people sitting at a round table in Permutations, by ikleyn(53646)   Seen 1345 times.
• Upper league combinatorics problem in Permutations, by ikleyn(53646)   Seen 850 times.
• OVERVIEW of lessons on Permutations and Combinations in Permutations, by ikleyn(53646)   Seen 6256 times.
• Nice recreational problems of Combinatorics in Permutations, by ikleyn(53646)   Seen 2073 times.
• One combinatorial Geometry problem solved using the Euler formula in Permutations, by ikleyn(53646)   Seen 1452 times.
• Men and women standing in line in Permutations, by ikleyn(53646)   Seen 1828 times.
• Stars and bars method for Combinatorics problems in Permutations, by ikleyn(53646)   Seen 3877 times.
• In how many ways N distinguishable objects can be distributed among n different boxes ? in Permutations, by ikleyn(53646)   Seen 2413 times.
• Derangement problems in Permutations, by ikleyn(53646)   Seen 3094 times.
• Inclusion-Exclusion principle problems in Permutations, by ikleyn(53646)   Seen 5916 times.
• Some twisted combinatorics problem in Permutations, by ikleyn(53646)   Seen 2199 times.
• Miscellaneous problems on permutations, combinations and other combinatoric entities in Permutations, by ikleyn(53646)   Seen 2463 times.
• Fundamental counting principle problems in Permutations, by ikleyn(53646)   Seen 5502 times.
• Combinatoric problems for entities other than permutations and combinations in Permutations, by ikleyn(53646)   Seen 2542 times.
• Persons sitting around a cicular table in Permutations, by ikleyn(53646)   Seen 7173 times.
• Arranging elements of sets containing indistinguishable elements in Permutations, by ikleyn(53646)   Seen 3566 times.
• Math circle level problem on Combinations in Permutations, by ikleyn(53646)   Seen 2080 times.
• Problems on Combinations with restrictions in Permutations, by ikleyn(53646)   Seen 4360 times.
• Problems on Combinations in Permutations, by ikleyn(53646)   Seen 8170 times.
• PROOF of the formula on the number of Combinations in Permutations, by ikleyn(53646)   Seen 33012 times.
• Introduction to Combinations in Permutations, by ikleyn(53646)   Seen 10555 times.
• Math circle level problem on Permutations in Permutations, by ikleyn(53646)   Seen 2277 times.
• Problems on Permutations with restrictions in Permutations, by ikleyn(53646)   Seen 3557 times.
• Special type permutations problems in Permutations, by ikleyn(53646)   Seen 3162 times.
• Simple and simplest problems on permutations in Permutations, by ikleyn(53646)   Seen 7632 times.
• PROOF of the formula on the number of Permutations in Permutations, by ikleyn(53646)   Seen 29678 times.
• Introduction to Permutations in Permutations, by ikleyn(53646)   Seen 16271 times.
• OVERVIEW of additional lessons on Travel and Distance in Travel_Word_Problems, by ikleyn(53646)   Seen 2278 times.
• Additional entertainment Travel & Distance problems in Travel_Word_Problems, by ikleyn(53646)   Seen 517 times.
• Upper league Travel and Distance problems in Travel_Word_Problems, by ikleyn(53646)   Seen 962 times.
• Olympiad level problems on Travel and Distance in Travel_Word_Problems, by ikleyn(53646)   Seen 1246 times.
• Advanced Travel and Distance problems for bodies traveling toward each other in Travel_Word_Problems, by ikleyn(53646)   Seen 1085 times.
• Moving escalator problems in Travel_Word_Problems, by ikleyn(53646)   Seen 3102 times.
• Two ships traveling on parallel courses in a foggy day in Travel_Word_Problems, by ikleyn(53646)   Seen 1904 times.
• How the state patrol officers on a highway could detect the driver exceeded the speed limit in Travel_Word_Problems, by ikleyn(53646)   Seen 1522 times.
• One unusual Upstream and Downstream Travel problem in Travel_Word_Problems, by ikleyn(53646)   Seen 1539 times.
• How many mail trucks will a mail truck meet on its trip in Travel_Word_Problems, by ikleyn(53646)   Seen 2070 times.
• Miles per gallon effectiveness and moving car in Travel_Word_Problems, by ikleyn(53646)   Seen 1609 times.
• One entertainment problem on Time equation in Travel_Word_Problems, by ikleyn(53646)   Seen 1243 times.
• Problem on determining the maximum flight distance using time equation in Travel_Word_Problems, by ikleyn(53646)   Seen 616 times.
• Time equation: HOW TO use, HOW TO write and HOW TO solve it in Travel_Word_Problems, by ikleyn(53646)   Seen 2218 times.
• Earthquake waves in Travel_Word_Problems, by ikleyn(53646)   Seen 1929 times.
• The buses and a traveler in Travel_Word_Problems, by ikleyn(53646)   Seen 1592 times.
• One very twisted Travel and Distance problem in Travel_Word_Problems, by ikleyn(53646)   Seen 1257 times.
• Two cars and a train make a race in Travel_Word_Problems, by ikleyn(53646)   Seen 1459 times.
• HOW TO algebreze and to solve these non-traditional Travel and Distance problems in Travel_Word_Problems, by ikleyn(53646)   Seen 2469 times.
• Short problems on Travel and Distance for quick mental solution in Travel_Word_Problems, by ikleyn(53646)   Seen 1726 times.
• Unexpectedly simple solutions to standard catching up problems in Travel_Word_Problems, by ikleyn(53646)   Seen 1302 times.
• Unusual catching-up problem in Travel_Word_Problems, by ikleyn(53646)   Seen 1739 times.
• Two runners on a circular track in Travel_Word_Problems, by ikleyn(53646)   Seen 11882 times.
• In a 2-mile race competition in Travel_Word_Problems, by ikleyn(53646)   Seen 1821 times.
• Two runners run on a quarter-mile oval track in Travel_Word_Problems, by ikleyn(53646)   Seen 1513 times.
• A rabbit and a dog in Travel_Word_Problems, by ikleyn(53646)   Seen 1900 times.
• Climbing a coconut tree up and down in Travel_Word_Problems, by ikleyn(53646)   Seen 1761 times.
• A child is running on a moving sidewalk in an airport in Travel_Word_Problems, by ikleyn(53646)   Seen 1695 times.
• OVERVIEW of lessons on Travel and Distance in Travel_Word_Problems, by ikleyn(53646)   Seen 9457 times.
• Entertainment Travel and Distance problems in Travel_Word_Problems, by ikleyn(53646)   Seen 1713 times.
• The Doppler Shift in Travel_Word_Problems, by ikleyn(53646)   Seen 1919 times.
• The distance covered by a free falling body during last second of the fall in Travel_Word_Problems, by ikleyn(53646)   Seen 5983 times.
• Non-traditional Travel and Distance problems in Travel_Word_Problems, by ikleyn(53646)   Seen 2519 times.
• A rower going on a river who missed the bottle of whiskey under a bridge in Travel_Word_Problems, by ikleyn(53646)   Seen 2504 times.
• A man crossing a bridge and a train coming from behind in Travel_Word_Problems, by ikleyn(53646)   Seen 6196 times.
• A train passing another train in Travel_Word_Problems, by ikleyn(53646)   Seen 4379 times.
• A light-rail train passing a walking person in Travel_Word_Problems, by ikleyn(53646)   Seen 2280 times.
• A train passing through a tunnel in Travel_Word_Problems, by ikleyn(53646)   Seen 7693 times.
• A train passing a platform in Travel_Word_Problems, by ikleyn(53646)   Seen 3088 times.
• A train passing a telegraph post and passing a bridge in Travel_Word_Problems, by ikleyn(53646)   Seen 2735 times.
• Problems on bodies moving on a circle in Travel_Word_Problems, by ikleyn(53646)   Seen 2616 times.
• Advanced clock problems in Travel_Word_Problems, by ikleyn(53646)   Seen 5980 times.
• Clock problems in Travel_Word_Problems, by ikleyn(53646)   Seen 19171 times.
• One more problem on calculating an average speed in Travel_Word_Problems, by ikleyn(53646)   Seen 2519 times.
• Calculating an average speed: a train going from A to B and back in Travel_Word_Problems, by ikleyn(53646)   Seen 4894 times.
• A person walking along the street and buses traveling in the same and opposite directions in Travel_Word_Problems, by ikleyn(53646)   Seen 2625 times.
• Travel problems on a messenger moving back and forth along the marching army's column in Travel_Word_Problems, by ikleyn(53646)   Seen 4346 times.
• Another unusual Travel problem (Arnold's problem on two walking old women) in Travel_Word_Problems, by ikleyn(53646)   Seen 13269 times.
• One unusual Travel problem in Travel_Word_Problems, by ikleyn(53646)   Seen 4003 times.
• How far do you live from school? in Travel_Word_Problems, by ikleyn(53646)   Seen 3495 times.
• Had a car move faster it would arrive sooner in Travel_Word_Problems, by ikleyn(53646)   Seen 2945 times.
• Selected Travel and Distance problems from the archive in Travel_Word_Problems, by ikleyn(53646)   Seen 2730 times.
• Selected problems from the archive on a plane flying with and against the wind in Travel_Word_Problems, by ikleyn(53646)   Seen 2823 times.
• Selected problems from the archive on the boat floating Upstream and Downstream in Travel_Word_Problems, by ikleyn(53646)   Seen 4818 times.
• Unpowered raft floating downstream along a river in Travel_Word_Problems, by ikleyn(53646)   Seen 3385 times.
• Wind and Current problems solvable by quadratic equations in Travel_Word_Problems, by ikleyn(53646)   Seen 19620 times.
• More problems on upstream and downstream round trips in Travel_Word_Problems, by ikleyn(53646)   Seen 6591 times.
• Wind and Current problems in Travel_Word_Problems, by ikleyn(53646)   Seen 86722 times.
• Using fractions to solve Travel problems in Numeric_Fractions, by ikleyn(53646)   Seen 6062 times.
• Typical catching up Travel and Distance problems in Travel_Word_Problems, by ikleyn(53646)   Seen 13806 times.
• Travel and Distance problems for two bodies moving in opposite directions in Travel_Word_Problems, by ikleyn(53646)   Seen 9977 times.
• Travel and Distance problems in Travel_Word_Problems, by ikleyn(53646)   Seen 58956 times.
• OVERVIEW of lessons on solving systems of two linear equations in two unknowns in Linear-systems, by ikleyn(53646)   Seen 4180 times.
• System of equations helps to solve a problem for the Thanksgiving day in Linear-systems, by ikleyn(53646)   Seen 3532 times.
• Solving word problems for 3 unknowns by reducing to equations in 2 unknowns in Linear-systems, by ikleyn(53646)   Seen 1861 times.
• Solving systems of non-linear equations by reducing to linear ones in Linear-systems, by ikleyn(53646)   Seen 2455 times.
• Word problem to solve combined system of linear equations and a "price equation" in Linear-systems, by ikleyn(53646)   Seen 393 times.
• Solving mentally word problems on two equations in two unknowns in Linear-systems, by ikleyn(53646)   Seen 2742 times.
• Sometimes one equation is enough to find two unknowns in a unique way in Linear-systems, by ikleyn(53646)   Seen 2314 times.
• Non-standard problems with a tricky setup in Linear-systems, by ikleyn(53646)   Seen 1745 times.
• One unusual problem to solve using system of two equations in Linear-systems, by ikleyn(53646)   Seen 2349 times.
• HOW TO algebraize and solve these problems on 2 equations in 2 unknowns in Linear-systems, by ikleyn(53646)   Seen 3030 times.
• Typical word problems on systems of 2 equations in 2 unknowns in Linear-systems, by ikleyn(53646)   Seen 4288 times.
• Exchange problems solved using systems of linear equations in Linear-systems, by ikleyn(53646)   Seen 1667 times.
• A theater group made appearances in two cities in Linear-systems, by ikleyn(53646)   Seen 2780 times.
• Counting calories and grams of fat in combined food in Linear-systems, by ikleyn(53646)   Seen 3361 times.
• Roses and violets in Linear-systems, by ikleyn(53646)   Seen 2410 times.
• The Robinson family and the Sanders family each used their sprinklers last summer in Linear-systems, by ikleyn(53646)   Seen 3989 times.
• Two mechanics work on a car in Linear-systems, by ikleyn(53646)   Seen 3237 times.
• Using systems of equations to solve problems on investment in Linear-systems, by ikleyn(53646)   Seen 14331 times.
• Using systems of equations to solve standard (typical) problems on shares in Linear-systems, by ikleyn(53646)   Seen 2178 times.
• Three methods for solving standard (typical) problems on tickets in Linear-systems, by ikleyn(53646)   Seen 2715 times.
• Using systems of equations to solve problems on tickets in Linear-systems, by ikleyn(53646)   Seen 10951 times.
• Oranges and grapefruits in Linear-systems, by ikleyn(53646)   Seen 3036 times.
• Word problems that lead to a simple system of two equations in two unknowns in Linear-systems, by ikleyn(53646)   Seen 2621 times.
• Solving word problems using linear systems of two equations in two unknowns in Linear-systems, by ikleyn(53646)   Seen 74543 times.
• Useful tricks when solving systems of 2 equations in 2 unknowns by the Substitution method in Linear-systems, by ikleyn(53646)   Seen 2572 times.
• Geometric interpretation of a linear system of two equations in two unknowns in Linear-systems, by ikleyn(53646)   Seen 14047 times.
• Solution of a linear system of two equations in two unknowns using determinant in Linear-systems, by ikleyn(53646)   Seen 12643 times.
• Solution of a linear system of two equations in two unknowns by the Elimination method in Linear-systems, by ikleyn(53646)   Seen 17412 times.
• Solution of a linear system of two equations in two unknowns by the Substitution method in Linear-systems, by ikleyn(53646)   Seen 19708 times.
• Using empirical rules to determine normal distribution probabilities in Probability-and-statistics, by ikleyn(53646)   Seen 938 times.
• OVERVIEW of my additional lessons on Probability in Probability-and-statistics, by ikleyn(53646)   Seen 2340 times.
• Entertainment probability problems in Probability-and-statistics, by ikleyn(53646)   Seen 1416 times.
• Twisted probability problems in Probability-and-statistics, by ikleyn(53646)   Seen 1980 times.
• Classic problems of Elementary Geometric Probability theory in Probability-and-statistics, by ikleyn(53646)   Seen 2231 times.
• Problems on uniformly distributed random variables in Probability-and-statistics, by ikleyn(53646)   Seen 1567 times.
• Math expectation of winning in games with rolling pair of dice in Probability-and-statistics, by ikleyn(53646)   Seen 2925 times.
• Math expectation of winning in lottery problems in Probability-and-statistics, by ikleyn(53646)   Seen 2991 times.
• Math expectation of winning in games problems in Probability-and-statistics, by ikleyn(53646)   Seen 2090 times.
• Analyzing chains of random events in Probability-and-statistics, by ikleyn(53646)   Seen 1821 times.
• The chances to be rescued from an inhabitant island in Probability-and-statistics, by ikleyn(53646)   Seen 1286 times.
• Miscellaneous problems on Probability in Probability-and-statistics, by ikleyn(53646)   Seen 2183 times.
• Twisted probability problems on intersections and unions of sets of events in Probability-and-statistics, by ikleyn(53646)   Seen 1827 times.
• Using general probability formulas for a union or intersection of events in Probability-and-statistics, by ikleyn(53646)   Seen 3069 times.
• Challenging problems on Binomial distribution probability in Probability-and-statistics, by ikleyn(53646)   Seen 2883 times.
• Solving problems on Binomial distribution with Technology (using online solver) in Probability-and-statistics, by ikleyn(53646)   Seen 2006 times.
• Solving problems on Binomial distribution with Technology (using MS Excel) in Probability-and-statistics, by ikleyn(53646)   Seen 2547 times.
• How to calculate Binomial probabilities with Technology (using MS Excel) in Probability-and-statistics, by ikleyn(53646)   Seen 3175 times.
• Typical binomial distribution probability problems in Probability-and-statistics, by ikleyn(53646)   Seen 2509 times.
• Simple and simplest probability problems on Binomial distribution in Probability-and-statistics, by ikleyn(53646)   Seen 3755 times.
• Elementary operations on sets help solving Probability problems - REVISITED in Probability-and-statistics, by ikleyn(53646)   Seen 1512 times.
• Dependent and independent events REVISITED in Probability-and-statistics, by ikleyn(53646)   Seen 2273 times.
• Conditional probability problems REVISITED in Probability-and-statistics, by ikleyn(53646)   Seen 2587 times.
• Elementary Probability problems related to combinations REVISITED in Probability-and-statistics, by ikleyn(53646)   Seen 1874 times.
• Solving probability problems using complementary probability REVISITED in Probability-and-statistics, by ikleyn(53646)   Seen 1788 times.
• Sample space conception problems REVISITED in Probability-and-statistics, by ikleyn(53646)   Seen 2024 times.
• OVERVIEW of lessons on Probability in Probability-and-statistics, by ikleyn(53646)   Seen 5217 times.
• Probability problem for the Day of April, 1 in Probability-and-statistics, by ikleyn(53646)   Seen 2078 times.
• Unusual probability problems in Probability-and-statistics, by ikleyn(53646)   Seen 2099 times.
• Independent and mutually exclusive events in Probability-and-statistics, by ikleyn(53646)   Seen 3193 times.
• Elementary operations on sets help solving Probability problems in Probability-and-statistics, by ikleyn(53646)   Seen 2877 times.
• A diplomat and spies in Probability-and-statistics, by ikleyn(53646)   Seen 2221 times.
• Ten pairs of shoes are kept in a rack in Probability-and-statistics, by ikleyn(53646)   Seen 1538 times.
• Rolling a pair of fair dice in Probability-and-statistics, by ikleyn(53646)   Seen 4982 times.
• Experimental probability problems in Probability-and-statistics, by ikleyn(53646)   Seen 1671 times.
• Selected probability problems from the archive in Probability-and-statistics, by ikleyn(53646)   Seen 2421 times.
• Challenging probability problems in Probability-and-statistics, by ikleyn(53646)   Seen 2655 times.
• Advanced probability problems from the archive in Probability-and-statistics, by ikleyn(53646)   Seen 3342 times.
• Geometric probability problems in Probability-and-statistics, by ikleyn(53646)   Seen 3217 times.
• Typical probability problems from the archive in Probability-and-statistics, by ikleyn(53646)   Seen 2250 times.
• Using sample space to solve Probability problems in Probability-and-statistics, by ikleyn(53646)   Seen 2276 times.
• Conditional probability problems in Probability-and-statistics, by ikleyn(53646)   Seen 3798 times.
• Probability for a computer to be damaged by viruses in Probability-and-statistics, by ikleyn(53646)   Seen 2343 times.
• Students studying foreign languages in Probability-and-statistics, by ikleyn(53646)   Seen 2254 times.
• A drawer contains a mixture of socks in Probability-and-statistics, by ikleyn(53646)   Seen 2946 times.
• People in a room write down integer numbers at random in Probability-and-statistics, by ikleyn(53646)   Seen 2908 times.
• A shipment containing fair and defective alarm clocks in Probability-and-statistics, by ikleyn(53646)   Seen 3757 times.
• Coinciding birthdays in Probability-and-statistics, by ikleyn(53646)   Seen 1696 times.
• A multiple choice answers test in Probability-and-statistics, by ikleyn(53646)   Seen 2136 times.
• A True/False test in Probability-and-statistics, by ikleyn(53646)   Seen 2424 times.
• Elementary Probability problems related to combinations in Probability-and-statistics, by ikleyn(53646)   Seen 3726 times.
• Solving probability problems using complementary probability in Probability-and-statistics, by ikleyn(53646)   Seen 2886 times.
• Simple and simplest probability problems in Probability-and-statistics, by ikleyn(53646)   Seen 2593 times.
• OVERVIEW of lessons on the distance from a point to a straight line in a coordinate plane in Vectors, by ikleyn(53646)   Seen 1448 times.
• Two chords in a circle are congruent if and only if they are equally remoted from the center in Vectors, by ikleyn(53646)   Seen 1610 times.
• Using formula for the distance from a point to a straight line in a plane to solve word problems in Vectors, by ikleyn(53646)   Seen 1582 times.
• HOW TO calculate the distance from a point to a straight line in a coordinate plane in Geometry_Word_Problems, by ikleyn(53646)   Seen 4965 times.
• The distance from a point to a straight line in a coordinate plane in Vectors, by ikleyn(53646)   Seen 8363 times.
• OVERVIEW of lessons on parallel and perpendicular straight lines and vectors in Vectors, by ikleyn(53646)   Seen 5127 times.
• The equation of the straight line perpendicular to a given straight line in Vectors, by ikleyn(53646)   Seen 4280 times.
• HOW TO determine if two straight lines in a coordinate plane are perpendicular in Vectors, by ikleyn(53646)   Seen 4653 times.
• HOW TO determine if two straight lines in a coordinate plane are parallel in Vectors, by ikleyn(53646)   Seen 5552 times.
• HOW TO write the normal vector to a straight line given by a linear equation in Geometry_Word_Problems, by ikleyn(53646)   Seen 18212 times.
• HOW TO write the guiding vector to a straight line given by a linear equation in Geometry_Word_Problems, by ikleyn(53646)   Seen 4982 times.
• Guiding vector and normal vector to a straight line given by a linear equation in Vectors, by ikleyn(53646)   Seen 4652 times.
• Perpendicular vectors in a coordinate plane in Vectors, by ikleyn(53646)   Seen 7121 times.
• OVERVIEW of lessons on Dot-product in Vectors, by ikleyn(53646)   Seen 3762 times.
• The formula for the angle between two vectors and the formula for cosines of the difference of two angles in Vectors, by ikleyn(53646)   Seen 5728 times.
• Properties of Dot-product of vectors in a coordinate plane in Vectors, by ikleyn(53646)   Seen 3781 times.
• Solved problems on Dot-product of vectors and the angle between two vectors in Vectors, by ikleyn(53646)   Seen 32041 times.
• Dot-product of vectors in a coordinate plane and the angle between two vectors in Vectors, by ikleyn(53646)   Seen 4868 times.
• Formula for Dot-product of vectors in a plane via the vectors components in Vectors, by ikleyn(53646)   Seen 4901 times.
• Introduction to dot-product in Vectors, by ikleyn(53646)   Seen 5969 times.
• OVERVIEW of Introductory lessons on vectors in a plane in Vectors, by ikleyn(53646)   Seen 2765 times.
• Flying airplane, blowing wind, airspeed, groundspeed etc. in Vectors, by ikleyn(53646)   Seen 361 times.
• HOW TO find the length of the vector in a coordinate plane in Geometry_Word_Problems, by ikleyn(53646)   Seen 3286 times.
• Solved problems on vectors in a coordinate plane in Vectors, by ikleyn(53646)   Seen 4664 times.
• Solved problems on vectors in a plane in Vectors, by ikleyn(53646)   Seen 4423 times.
• Sum of vectors connecting the center of a regular n-sided polygon with its vertices in Vectors, by ikleyn(53646)   Seen 21273 times.
• Sum of vectors connecting the center of mass of a n-sided polygon with its vertices in Vectors, by ikleyn(53646)   Seen 9016 times.
• Sum of vectors connecting the center of mass of a quadrilateral with its vertices in Geometry_Word_Problems, by ikleyn(53646)   Seen 3466 times.
• Sum of vectors connecting the center of mass of a triangle with its vertices in Geometry_Word_Problems, by ikleyn(53646)   Seen 3986 times.
• The Centroid of a parallelogram is the Intersection point of its diagonals in Geometry_Word_Problems, by ikleyn(53646)   Seen 31030 times.
• The Centroid of a triangle is the Intersection point of its medians in Geometry_Word_Problems, by ikleyn(53646)   Seen 10951 times.
• Summing vectors that are coherently oriented sides of an unclosed polygon in Vectors, by ikleyn(53646)   Seen 3298 times.
• Summing vectors that are coherently oriented sides of a convex closed polygon in Vectors, by ikleyn(53646)   Seen 3093 times.
• Addition, Subtraction and Multiplication by a number of vectors in a coordinate plane in Vectors, by ikleyn(53646)   Seen 9676 times.
• Vectors in a coordinate plane in Vectors, by ikleyn(53646)   Seen 16971 times.
• Sum of vectors that connect the center of a parallelogram with its vertices in Vectors, by ikleyn(53646)   Seen 7178 times.
• Sum of vectors that are coherently oriented sides of an unclosed polygon in Vectors, by ikleyn(53646)   Seen 9301 times.
• Sum of vectors that are coherently oriented sides of a convex closed polygon in Vectors, by ikleyn(53646)   Seen 10935 times.
• Vectors in a plane in Vectors, by ikleyn(53646)   Seen 9609 times.
• Find the last two digits of the number 3^123 + 7^123 + 9^123 in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 1652 times.
• OVERVIEW of lessons on Evaluating expressions in Evaluation_Word_Problems, by ikleyn(53646)   Seen 2671 times.
• Entertainment problems on evaluating expressions in Evaluation_Word_Problems, by ikleyn(53646)   Seen 776 times.
• A truly miraculous evaluating problem with a truly miraculous solution in Evaluation_Word_Problems, by ikleyn(53646)   Seen 433 times.
• Upper level problems on evaluating an expression of polynomial roots in Evaluation_Word_Problems, by ikleyn(53646)   Seen 884 times.
• Finding coefficients of decomposition of a rational function in Evaluation_Word_Problems, by ikleyn(53646)   Seen 881 times.
• Upper league problem on evaluating the sum in Evaluation_Word_Problems, by ikleyn(53646)   Seen 849 times.
• Math Olympiad level problem on evaluating a 9-degree polynomial in Evaluation_Word_Problems, by ikleyn(53646)   Seen 1045 times.
• Math circle level problems on finding polynomials with prescribed roots in Evaluation_Word_Problems, by ikleyn(53646)   Seen 1748 times.
• Math circle level problems on evaluating expressions in Evaluation_Word_Problems, by ikleyn(53646)   Seen 1411 times.
• Evaluating a function defined by functional equation in Evaluation_Word_Problems, by ikleyn(53646)   Seen 938 times.
• Find the number of factorable quadratic polynomials of special form in Evaluation_Word_Problems, by ikleyn(53646)   Seen 1079 times.
• Lowering a degree method in Evaluation_Word_Problems, by ikleyn(53646)   Seen 1203 times.
• Advanced evaluating problems in Evaluation_Word_Problems, by ikleyn(53646)   Seen 1819 times.
• Miscellaneous evaluating problems in Evaluation_Word_Problems, by ikleyn(53646)   Seen 1748 times.
• Evaluate the sum of the coefficients of a polynomial in Evaluation_Word_Problems, by ikleyn(53646)   Seen 8436 times.
• Evaluating trigonometric expressions in Evaluation_Word_Problems, by ikleyn(53646)   Seen 1763 times.
• Problems on evaluating in Geometry in Evaluation_Word_Problems, by ikleyn(53646)   Seen 834 times.
• Solving equations that contain infinitely many radicals in Evaluation_Word_Problems, by ikleyn(53646)   Seen 1485 times.
• Evaluating expressions that contain infinitely many square roots in Evaluation_Word_Problems, by ikleyn(53646)   Seen 1777 times.
• Miscellaneous problems on Vieta's theorem in Evaluation_Word_Problems, by ikleyn(53646)   Seen 342 times.
• Advanced problems on Vieta's theorem in Evaluation_Word_Problems, by ikleyn(53646)   Seen 4983 times.
• Problems on Vieta's formulas in Evaluation_Word_Problems, by ikleyn(53646)   Seen 4039 times.
• HOW TO evaluate functions of roots of a cubic and quartic equation in Evaluation_Word_Problems, by ikleyn(53646)   Seen 3578 times.
• HOW TO evaluate functions of roots of a quadratic equation in Evaluation_Word_Problems, by ikleyn(53646)   Seen 2374 times.
• Advanced lesson on evaluating expressions in Evaluation_Word_Problems, by ikleyn(53646)   Seen 2065 times.
• HOW TO evaluate expressions involving x + 1/x, x^2 + 1/x^2, x^3 + 1/x^3 and x^5 + 1/x^5 in Evaluation_Word_Problems, by ikleyn(53646)   Seen 2481 times.
• OVERVIEW of lessons on solving non-linear equations in one unknown in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 2245 times.
• Solving one tricky non-linear equation in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 335 times.
• Solving non-linear equations in one unknown in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 1661 times.
• Problems on paying debts in Finance in Finance, by ikleyn(53646)   Seen 336 times.
• OVERVIEW of my lessons from the Finance section in this site in Finance, by ikleyn(53646)   Seen 1351 times.
• Tricky problems on present values of annuities in Finance, by ikleyn(53646)   Seen 387 times.
• Using Excel to find the interest part of a certain loan payment in Finance, by ikleyn(53646)   Seen 1055 times.
• Using Excel to find the principal part of a certain loan payment in Finance, by ikleyn(53646)   Seen 899 times.
• One level more complicated non-standard problems on loans in Finance, by ikleyn(53646)   Seen 889 times.
• One level more complicated problems on sinking funds in Finance, by ikleyn(53646)   Seen 711 times.
• One level more complicated non-standard problems on ordinary annuity plans in Finance, by ikleyn(53646)   Seen 959 times.
• Amortizing a debt on a credit card in Finance, by ikleyn(53646)   Seen 1017 times.
• Mortgage problems in Finance, by ikleyn(53646)   Seen 1991 times.
• Loan problems in Finance, by ikleyn(53646)   Seen 1540 times.
• Accumulating money via ordinary annuity and spending simultaneously via sinking fund in Finance, by ikleyn(53646)   Seen 380 times.
• Calculating a retirement plan in Finance, by ikleyn(53646)   Seen 586 times.
• Accumulate money using ordinary annuity; then spend money via sinking fund in Finance, by ikleyn(53646)   Seen 486 times.
• Find the compounding rate of an ordinary annuity in Finance, by ikleyn(53646)   Seen 579 times.
• Problems on sinking funds in Finance, by ikleyn(53646)   Seen 864 times.
• Present value of an ordinary annuity cumulative saving plan in Finance, by ikleyn(53646)   Seen 823 times.
• Variable withdrawals from a compounded account (sinking fund) in Finance, by ikleyn(53646)   Seen 1352 times.
• Annual depositing and semi-annual compounding in ordinary annuity saving plan in Finance, by ikleyn(53646)   Seen 1088 times.
• Ordinary annuity account with non-zero initial deposit as a combined total of two accounts in Finance, by ikleyn(53646)   Seen 1128 times.
• Regular withdrawals from an annuity payout account in Finance, by ikleyn(53646)   Seen 1185 times.
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• How long will it take for an ordinary annuity to get an assigned value? in Finance, by ikleyn(53646)   Seen 1044 times.
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• Find future value of an Ordinary Annuity saving plan in Finance, by ikleyn(53646)   Seen 1440 times.
• Problems on continuously compounded accounts in Finance, by ikleyn(53646)   Seen 989 times.
• Problems on discretely compounded accounts in Finance, by ikleyn(53646)   Seen 1010 times.
• Problems on simple interest accounts in Finance, by ikleyn(53646)   Seen 1226 times.
• OVERVIEW of lessons on solving systems of non-linear equations in two or more unknowns in Systems-of-equations, by ikleyn(53646)   Seen 3022 times.
• Solving systems of non-linear algebraic equations with symmetric functions of unknowns in Systems-of-equations, by ikleyn(53646)   Seen 2503 times.
• Solving some special systems of non-linear algebraic equations in Systems-of-equations, by ikleyn(53646)   Seen 2607 times.
• Math circle level problems on solving systems of non-linear equations in Systems-of-equations, by ikleyn(53646)   Seen 1775 times.
• Geometric word problems that are solved using systems of non-linear equations in Systems-of-equations, by ikleyn(53646)   Seen 1277 times.
• Some tricks to solve systems of non-linear algebraic equations in Systems-of-equations, by ikleyn(53646)   Seen 3929 times.
• Solving typical problems on systems of non-linear equations in Systems-of-equations, by ikleyn(53646)   Seen 2851 times.
• Solving systems of algebraic equations of degree 2 in Systems-of-equations, by ikleyn(53646)   Seen 17873 times.
• Solving systems of algebraic equations of degree 2 and degree 1 in Systems-of-equations, by ikleyn(53646)   Seen 7263 times.
• Solving algebraic equations of high degree in Systems-of-equations, by ikleyn(53646)   Seen 8732 times.
• OVERVIEW of lessons on solving quadratic equations in Quadratic_Equations, by ikleyn(53646)   Seen 3756 times.
• Prime quadratic polynomials with real coefficients in Quadratic_Equations, by ikleyn(53646)   Seen 1272 times.
• Entertainment problems on quadratic equations in Quadratic_Equations, by ikleyn(53646)   Seen 1430 times.
• HOW TO solve the problem on quadratic equation mentally and avoid boring calculations in Quadratic_Equations, by ikleyn(53646)   Seen 4237 times.
• Rare beauty investment problem to solve using quadratic equation in Quadratic_Equations, by ikleyn(53646)   Seen 1959 times.
• Business-related problems to solve them using quadratic equations in Quadratic_Equations, by ikleyn(53646)   Seen 3693 times.
• Challenging word problems solved using quadratic equations in Quadratic_Equations, by ikleyn(53646)   Seen 8155 times.
• Word problems on engineering constructions of parabolic shapes in Quadratic_Equations, by ikleyn(53646)   Seen 2149 times.
• Using quadratic equations to solve word problems in Quadratic_Equations, by ikleyn(53646)   Seen 96097 times.
• Advanced minimax problems to solve using the discriminant principle in Quadratic_Equations, by ikleyn(53646)   Seen 425 times.
• Relative position of a straight line and a parabola on a coordinate plane in Quadratic_Equations, by ikleyn(53646)   Seen 503 times.
• Problems on quadratic equations to solve them using discriminant in Quadratic_Equations, by ikleyn(53646)   Seen 450 times.
• Find an equation of the parabola passing through given points in Quadratic_Equations, by ikleyn(53646)   Seen 474 times.
• Find a number using quadratic equations in Quadratic_Equations, by ikleyn(53646)   Seen 529 times.
• Using Vieta's theorem to solve quadratic equations and related problems in Quadratic_Equations, by ikleyn(53646)   Seen 4542 times.
• Who is who in quadratic equations in Quadratic_Equations, by ikleyn(53646)   Seen 4806 times.
• Solving quadratic equations without quadratic formula in Quadratic_Equations, by ikleyn(53646)   Seen 24187 times.
• HOW TO solve quadratic equation by completing the square - Learning by examples in Quadratic_Equations, by ikleyn(53646)   Seen 3200 times.
• HOW TO complete the square - Learning by examples in Quadratic_Equations, by ikleyn(53646)   Seen 3216 times.
• PROOF of quadratic formula by completing the square in Quadratic_Equations, by ichudov(507)   Seen 42434 times.
• Introduction into Quadratic Equations in Quadratic_Equations, by ichudov(507)   Seen 102935 times.
• OVERVIEW of lessons on complex numbers in Complex_Numbers, by ikleyn(53646)   Seen 4559 times.
• Joke problems on complex numbers in Complex_Numbers, by ikleyn(53646)   Seen 842 times.
• Determine locus of points using complex numbers in Complex_Numbers, by ikleyn(53646)   Seen 1520 times.
• Upper level problems on complex numbers in Complex_Numbers, by ikleyn(53646)   Seen 1017 times.
• Solving non-standard equations in complex numbers in Complex_Numbers, by ikleyn(53646)   Seen 1577 times.
• A curious example of an equation in complex numbers which HAS NO a solution in Complex_Numbers, by ikleyn(53646)   Seen 1797 times.
• Calculating the sum 1*sin(1°) + 2*sin(2°) + 3*sin(3°) + . . . + 180*sin(180°) in Complex_Numbers, by ikleyn(53646)   Seen 2973 times.
• Proving identities using complex numbers in Complex_Numbers, by ikleyn(53646)   Seen 2148 times.
• Solved problems on de'Moivre formula in Complex_Numbers, by ikleyn(53646)   Seen 2597 times.
• Advanced problems on complex numbers in Complex_Numbers, by ikleyn(53646)   Seen 4339 times.
• Miscellaneous problems on complex numbers in Complex_Numbers, by ikleyn(53646)   Seen 2865 times.
• Solving polynomial equations in complex domain in Complex_Numbers, by ikleyn(53646)   Seen 2139 times.
• Solved problem on taking square root of complex number in Complex_Numbers, by ikleyn(53646)   Seen 2802 times.
• Solved problems on arithmetic operations on complex numbers in Complex_Numbers, by ikleyn(53646)   Seen 2271 times.
• Solved problems on taking roots of complex numbers in Complex_Numbers, by ikleyn(53646)   Seen 3199 times.
• Solution of the quadratic equation with complex coefficients on complex domain in Complex_Numbers, by ikleyn(53646)   Seen 37947 times.
• How to take a square root of a complex number in Complex_Numbers, by ikleyn(53646)   Seen 44699 times.
• Solution of the quadratic equation with real coefficients on complex domain in Complex_Numbers, by ikleyn(53646)   Seen 19553 times.
• How to take a root of a complex number in Complex_Numbers, by ikleyn(53646)   Seen 40410 times.
• Raising a complex number to an integer power in Complex_Numbers, by ikleyn(53646)   Seen 14694 times.
• Multiplication and division of complex numbers in complex plane in Complex_Numbers, by ikleyn(53646)   Seen 15169 times.
• Addition and subtraction of complex numbers in complex plane in Complex_Numbers, by ikleyn(53646)   Seen 7981 times.
• Complex plane in Complex_Numbers, by ikleyn(53646)   Seen 12208 times.
• Complex numbers and arithmetic operations on them in Complex_Numbers, by ikleyn(53646)   Seen 10216 times.
• OVERVIEW of Divisibility rules by 2, 3, 4, 5, 6, 9, 10 and 11 in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 4820 times.
• Math circle level problem on finding remainders in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 2048 times.
• Math circle level problem on restoring digit in the product of two 16-digit numbers in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 2325 times.
• Math circle level problems on divisibility numbers in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 1765 times.
• Can there be a perfect square ? in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 2630 times.
• Restore the omitted digit in a number in a way that the number is divisible by 11 in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 2826 times.
• Restore the omitted digit in a number in a way that the number is divisible by 9 in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 2841 times.
• Divisibility by 11 rule in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 14752 times.
• Divisibility by 10 rule in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 4284 times.
• Divisibility by 9 rule in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 7761 times.
• Divisibility by 6 rule in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 4372 times.
• Divisibility by 5 rule in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 5275 times.
• Divisibility by 4 rule in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 5457 times.
• Divisibility by 3 rule in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 4643 times.
• Divisibility by 2 rule in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 4403 times.
• OVERVIEW of lessons on calculating trig functions and solving trig equations in Trigonometry-basics, by ikleyn(53646)   Seen 2970 times.
• Trigonometry entertainment problems in Trigonometry-basics, by ikleyn(53646)   Seen 1451 times.
• Math OLYMPIAD level problems on Trigonometry in Trigonometry-basics, by ikleyn(53646)   Seen 2346 times.
• Solving upper-league Trigonometry equations in Trigonometry-basics, by ikleyn(53646)   Seen 1289 times.
• Word problems on Trigonometric functions in Trigonometry-basics, by ikleyn(53646)   Seen 4065 times.
• Find the height in Trigonometry-basics, by ikleyn(53646)   Seen 2209 times.
• Calculating the sum 1*sin(1°) + 2*sin(2°) + 3*sin(3°) + . . . + 180*sin(180°) in Trigonometry-basics, by ikleyn(53646)   Seen 1264 times.
• Proving Trigonometry identities in Trigonometry-basics, by ikleyn(53646)   Seen 2811 times.
• Non-standard Trigonometry problems in Trigonometry-basics, by ikleyn(53646)   Seen 1941 times.
• Truly elegant solution to one trigonometric equation in Trigonometry-basics, by ikleyn(53646)   Seen 1482 times.
• Solving twisted trigonometric equations in Trigonometry-basics, by ikleyn(53646)   Seen 1451 times.
• Miscellaneous problems on solving trigonometric equations in Trigonometry-basics, by ikleyn(53646)   Seen 1253 times.
• Challenging problems on trigonometric equations in Trigonometry-basics, by ikleyn(53646)   Seen 2368 times.
• Solving advanced problems on trigonometric equations in Trigonometry-basics, by ikleyn(53646)   Seen 2359 times.
• Solving more complicated problems on trigonometric equations in Trigonometry-basics, by ikleyn(53646)   Seen 2756 times.
• Solving typical problems on trigonometric equations in Trigonometry-basics, by ikleyn(53646)   Seen 2159 times.
• Solving simple problems on trigonometric equations in Trigonometry-basics, by ikleyn(53646)   Seen 2466 times.
• Finding the slope of the bisector to the angle formed by two given lines in a coordinate plane in Trigonometry-basics, by ikleyn(53646)   Seen 2395 times.
• Solve these trigonometry problems without using a calculator in Trigonometry-basics, by ikleyn(53646)   Seen 2838 times.
• Evaluating trigonometric expressions in Trigonometry-basics, by ikleyn(53646)   Seen 2613 times.
• Advanced problems on calculating trigonometric functions of angles in Trigonometry-basics, by ikleyn(53646)   Seen 2879 times.
• Calculating trigonometric functions of angles in Trigonometry-basics, by ikleyn(53646)   Seen 3164 times.
• Problems dealing with the product of three consecutive integers in Problems-with-consecutive-odd-even-integers, by ikleyn(53646)   Seen 2638 times.
• Problems dealing with the product of two consecutive integers in Problems-with-consecutive-odd-even-integers, by ikleyn(53646)   Seen 2506 times.
• Product of three consecutive integers is divisible by 6 in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 4071 times.
• Product of two consecutive integers is divisible by 2 in Divisibility_and_Prime_Numbers, by ikleyn(53646)   Seen 3707 times.
• OVERVIEW of lessons on inequalities and domains of functions in Inequalities, by ikleyn(53646)   Seen 2990 times.
• Entertainment problems on inequalities in Inequalities, by ikleyn(53646)   Seen 1089 times.
• Math Olympiad level problems on inequalities in Inequalities, by ikleyn(53646)   Seen 1869 times.
• Math circle level problems on inequalities in Inequalities, by ikleyn(53646)   Seen 1796 times.
• Proving inequalities in Inequalities, by ikleyn(53646)   Seen 1924 times.
• Solving word problems on inequalities in Inequalities, by ikleyn(53646)   Seen 2528 times.
• Solving systems of inequalities in two unknowns graphically in a coordinate plane in Graphs, by ikleyn(53646)   Seen 2448 times.
• Challenging problems on inequalities in Inequalities, by ikleyn(53646)   Seen 2500 times.
• Advanced problems on inequalities in Inequalities, by ikleyn(53646)   Seen 2665 times.
• Another way solving inequalities for rational functions with non-zero right side in Inequalities, by ikleyn(53646)   Seen 1303 times.
• Solving inequalities for rational functions with non-zero right side in Inequalities, by ikleyn(53646)   Seen 2415 times.
• Solving inequalities for rational functions with numerator and denominator factored into a product of linear binomials in Inequalities, by ikleyn(53646)   Seen 2967 times.
• Solving inequalities for high degree polynomials factored into a product of linear binomials in Inequalities, by ikleyn(53646)   Seen 2426 times.
• Solving problems on quadratic inequalities in Inequalities, by ikleyn(53646)   Seen 3435 times.
• Prove that if a, b, and c are the sides of a triangle, then so are sqrt(a), sqrt(b), and sqrt(c) in Inequalities, by ikleyn(53646)   Seen 1732 times.
• Harmonic mean in Inequalities, by ikleyn(53646)   Seen 689 times.
• Arithmetic mean and geometric mean inequality - Geometric interpretations in Inequalities, by ikleyn(53646)   Seen 3205 times.
• Arithmetic mean and geometric mean inequality in Inequalities, by ikleyn(53646)   Seen 3493 times.
• What number is greater? Comparing magnitude of irrational numbers in Inequalities, by ikleyn(53646)   Seen 2405 times.
• Solving compound inequalities in Inequalities, by ikleyn(53646)   Seen 2735 times.
• Solving systems of linear inequalities in one unknown in Inequalities, by ikleyn(53646)   Seen 2087 times.
• Advanced problems on solving absolute value inequalities in Inequalities, by ikleyn(53646)   Seen 3495 times.
• Solving absolute value inequalities in Inequalities, by ikleyn(53646)   Seen 2275 times.
• Solving simple and simplest linear inequalities in Inequalities, by ikleyn(53646)   Seen 3093 times.
• OVERVIEW of lessons on using the Rational roots theorem for solving polynomial equations of high degree in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 915 times.
• Using the Rational Roots theorem to prove that a polynomial has no roots in rational numbers in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 1146 times.
• Typical problems on using the Rational Roots theorem for finding zeroes of high degree polynomials in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 1044 times.
• Introductory problems on the Rational Roots theorem in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 1227 times.
• OVERVIEW of lessons on Divisibility of polynomial f(x) by binomial (x-a) and the Remainder theorem in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 1807 times.
• Nice_Olympiad_level_problem_on_divisibility_of_polynomials in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 1447 times.
• Finding unknown coefficients of a polynomial based on some given info about its roots in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 1445 times.
• Finding unknown coefficients of a polynomial having given info about its polynomial divisors in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 2461 times.
• Advanced problems on the Remainder theorem in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 3774 times.
• Typical problems on the Remainder theorem in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 2158 times.
• Divisibility of polynomial f(x) by a binomial (x-a) and the Remainder theorem in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 12616 times.
• OVERVIEW of Factoring the binomials x^n-a^n and x^n+a^n in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 6454 times.
• Factoring the binomials x^n+a^n for odd degrees in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 5083 times.
• Factoring the binomials x^n-a^n in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 25458 times.
• OVERVIEW of lessons on solving polynomial equations of high degree in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 2064 times.
• Solving palindromic equations of the degree 4 in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 2348 times.
• Upper_level_miracle_factoring in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 702 times.
• Advanced factoring in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 1907 times.
• Solving polynomial equations of high degree by introducing a new variable in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 2081 times.
• Solving polynomial equations of high degree by factoring in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 2404 times.
• Simplifying rational expressions with the use the shortcut multiplication formulas in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 9778 times.
• OVERVIEW of shortcut cubic multiplication formulas in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 10690 times.
• HOW TO rationalize a fraction by making its denominator free of cubic roots in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 5983 times.
• The difference of cubes formula in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 9746 times.
• The sum of cubes formula in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 16560 times.
• The cube of the difference formula in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 16836 times.
• The cube of the sum formula in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 32133 times.
• OVERVIEW of shortcut quadratic multiplication formulas in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 4335 times.
• HOW TO rationalize a fraction by making its denominator free of square roots in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 5696 times.
• The difference of squares formula in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 20938 times.
• The square of the difference formula in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 17597 times.
• The square of the sum formula in Polynomials-and-rational-expressions, by ikleyn(53646)   Seen 24088 times.
• OVERVIEW of LESSONS on solving systems of linear equations in three unknowns by the Substitution and Elimination methods in Matrices-and-determiminant, by ikleyn(53646)   Seen 1616 times.
• BRIEFLY on solving systems of linear equations in 3 unknowns by the Elimination method in Matrices-and-determiminant, by ikleyn(53646)   Seen 2255 times.
• Solving systems of linear equations in 3 unknowns by the Elimination method in Matrices-and-determiminant, by ikleyn(53646)   Seen 3533 times.
• BRIEFLY on solving systems of linear equations in 3 unknowns by the Substitution method in Matrices-and-determiminant, by ikleyn(53646)   Seen 2554 times.
• Solving systems of linear equations in 3 unknowns by the Substitution method in Matrices-and-determiminant, by ikleyn(53646)   Seen 6906 times.
• OVERVIEW of LESSONS on determinants of 2x2-matrices and Cramer's rule for systems in 2 unknowns in Matrices-and-determiminant, by ikleyn(53646)   Seen 3230 times.
• Determinant of a 2x2-matrix and the area of a parallelogram and a triangle in Matrices-and-determiminant, by ikleyn(53646)   Seen 9968 times.
• Solving systems of non-linear equations in two unknowns using the Cramer's rule in Matrices-and-determiminant, by ikleyn(53646)   Seen 4274 times.
• Solving word problems by the Cramer's rule after reducing them to systems of linear equations in two unknowns in Matrices-and-determiminant, by ikleyn(53646)   Seen 17912 times.
• Solving systems of linear equations in two unknowns using the Cramer's rule in Matrices-and-determiminant, by ikleyn(53646)   Seen 2975 times.
• HOW TO solve system of linear equations in two unknowns using determinant (Cramer's rule) in Matrices-and-determiminant, by ikleyn(53646)   Seen 5098 times.
• Determinant of a 2x2-matrix in Matrices-and-determiminant, by ikleyn(53646)   Seen 5831 times.
• What is a Matrix? in Matrices-and-determiminant, by ikleyn(53646)   Seen 2607 times.
• OVERVIEW of my additional lessons on solving single linear equations and word problems in one unknown in Equations, by ikleyn(53646)   Seen 736 times.
• Upper level word problems to solve using a single linear equation in Equations, by ikleyn(53646)   Seen 943 times.
• Entertainment problems on finding three unknowns using only one equation in Equations, by ikleyn(53646)   Seen 1016 times.
• Choose an unknown variable in a rational way for your problem in Equations, by ikleyn(53646)   Seen 1126 times.
• One more lesson on solving problems by the backward method in Equations, by ikleyn(53646)   Seen 632 times.
• OVERVIEW of lessons on solving linear equations and word problems in one unknown in Equations, by ikleyn(53646)   Seen 3412 times.
• Solving entertainment problems on shortage of money in Equations, by ikleyn(53646)   Seen 1246 times.
• Solving problems by the backward method in Equations, by ikleyn(53646)   Seen 1438 times.
• Using price equation to solve some business related problems in Equations, by ikleyn(53646)   Seen 1148 times.
• Using time equation to solve some Travel and Distance problems in Equations, by ikleyn(53646)   Seen 1409 times.
• HOW TO solve these simple word problems MENTALLY without using equations in Equations, by ikleyn(53646)   Seen 3235 times.
• Solving some business-related problems in Equations, by ikleyn(53646)   Seen 2369 times.
• Selected word problems to solve by reducing to single linear equation in Equations, by ikleyn(53646)   Seen 1689 times.
• Challenging word problems to solve using a single linear equation in Equations, by ikleyn(53646)   Seen 5416 times.
• HOW TO algebraize and solve these problems using one equation in one unknown in Equations, by ikleyn(53646)   Seen 2191 times.
• Advanced word problems to solve using a single linear equation in Equations, by ikleyn(53646)   Seen 2443 times.
• Typical investment problems in Equations, by ikleyn(53646)   Seen 1292 times.
• Typical problems on buying and selling items in Equations, by ikleyn(53646)   Seen 1885 times.
• Typical word problems to solve using a single linear equation in Equations, by ikleyn(53646)   Seen 2455 times.
• More complicated word problems to solve using a single linear equation in Equations, by ikleyn(53646)   Seen 2273 times.
• Simple word problems to solve using a single linear equation in Equations, by ikleyn(53646)   Seen 32391 times.
• HOW TO solve a linear equation in Equations, by ikleyn(53646)   Seen 57759 times.
• OVERVIEW of lessons on parabolas in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 5083 times.
• Practical problems from the archive related to ellipses and parabolas in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 3236 times.
• Astronomic applications in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 1218 times.
• A circle of maximum radius tangent to and inscribed in parabola in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 1067 times.
• Optical property of a parabola in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 9480 times.
• Tangent lines and normal vectors to a parabola in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 9296 times.
• Parabola focal property in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 4828 times.
• Parabola definition, canonical equation, characteristic points and elements in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 11414 times.
• OVERVIEW of lessons on hyperbolas in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 4400 times.
• Identify elements of a hyperbola given by its general equation in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 2829 times.
• Transform general equation of a hyperbola to the standard form by completing the square in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 3108 times.
• General equation of a hyperbola in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 2243 times.
• Find the standard equation of a hyperbola given by its elements in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 1698 times.
• Identify elements of hyperbola given by its standard equation in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 2104 times.
• Standard equation of a hyperbola in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 2147 times.
• Optical property of a hyperbola in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 12778 times.
• Tangent lines and normal vectors to a hyperbola in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 6424 times.
• Hyperbola focal property in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 6326 times.
• Hyperbola definition, canonical equation, characteristic points and elements in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 7330 times.
• OVERVIEW of lessons on ellipses in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 5206 times.
• Identify elements of a circle given by its general equation in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 1707 times.
• Transform general equation of a circle to the standard form by completing the squares in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 2517 times.
• General equation of a circle in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 2217 times.
• Find the standard equation of a circle in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 2540 times.
• Standard equation of a circle in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 1939 times.
• Identify elements of an ellipse given by its general equation in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 2171 times.
• Transform a general equation of an ellipse to the standard form by completing the square in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 11124 times.
• General equation of an ellipse in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 2593 times.
• Find the standard equation of an ellipse given by its elements in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 2592 times.
• Identify elements of an ellipse given by its standard equation in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 3046 times.
• Standard equation of an ellipse in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 2342 times.
• Optical property of an ellipse revisited in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 4455 times.
• Optical property of an ellipse in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 10732 times.
• Tangent lines and normal vectors to an ellipse in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 27336 times.
• Tangent lines and normal vectors to a circle in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 19778 times.
• Ellipse focal property in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 9279 times.
• Ellipse definition, canonical equation, characteristic points and elements in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 11579 times.
• FORMULAS FOR TRIGONOMETRIC FUNCTIONS in Trigonometry-basics, by ikleyn(53646)   Seen 7139 times.
• Miscellaneous Trigonometry problems in Trigonometry-basics, by ikleyn(53646)   Seen 6279 times.
• Trigonometric functions of half argument - Examples in Trigonometry-basics, by ikleyn(53646)   Seen 6263 times.
• Trigonometric functions of half argument in Trigonometry-basics, by ikleyn(53646)   Seen 4691 times.
• Trigonometric functions of multiply argument - Examples in Trigonometry-basics, by ikleyn(53646)   Seen 11476 times.
• Trigonometric functions of multiply argument in Trigonometry-basics, by ikleyn(53646)   Seen 7266 times.
• Powers of trigonometric functions - Examples in Trigonometry-basics, by ikleyn(53646)   Seen 6450 times.
• Powers of trigonometric functions in Trigonometry-basics, by ikleyn(53646)   Seen 4916 times.
• Product of trigonometric functions - Examples in Trigonometry-basics, by ikleyn(53646)   Seen 4557 times.
• Product of trigonometric functions in Trigonometry-basics, by ikleyn(53646)   Seen 6715 times.
• Addition and subtraction of trigonometric functions - Examples in Trigonometry-basics, by ikleyn(53646)   Seen 7588 times.
• Addition and subtraction of trigonometric functions in Trigonometry-basics, by ikleyn(53646)   Seen 24374 times.
• Addition and subtraction formulas - Examples in Trigonometry-basics, by ikleyn(53646)   Seen 23249 times.
• Addition and subtraction formulas in Trigonometry-basics, by ikleyn(53646)   Seen 8242 times.
• The Amazing Unit Circle: Trigonometric Identities in Trigonometry-basics, by blythrd(0)   Seen 111689 times.
• Solve triangles using Law of Sines in Trigonometry-basics, by ikleyn(53646)   Seen 24313 times.
• Proof of the Law of Cosines revisited in Trigonometry-basics, by ikleyn(53646)   Seen 8108 times.
• Solve triangles using Law of Cosines in Trigonometry-basics, by ikleyn(53646)   Seen 10762 times.
• OVERVIEW of lessons on proportions in Proportions, by ikleyn(53646)   Seen 3664 times.
• Entertainment problems on proportions in Proportions, by ikleyn(53646)   Seen 1725 times.
• Selected problems on proportions from the archive in Proportions, by ikleyn(53646)   Seen 3037 times.
• Problems on proportions for mental solution in Proportions, by ikleyn(53646)   Seen 2943 times.
• Advanced problems on proportions in Proportions, by ikleyn(53646)   Seen 1804 times.
• Using proportions to solve some nice simple Travel and Distance problems in Proportions, by ikleyn(53646)   Seen 1560 times.
• Using proportions to solve word problems in Geometry in Proportions, by ikleyn(53646)   Seen 1778 times.
• HOW TO algebraize and solve these problems using proportions in Proportions, by ikleyn(53646)   Seen 4131 times.
• Using proportions to estimate the number of fish in a lake in Proportions, by ikleyn(53646)   Seen 6399 times.
• Typical problems on proportions in Proportions, by ikleyn(53646)   Seen 2289 times.
• Using proportions to solve Chemistry problems in Proportions, by ikleyn(53646)   Seen 11977 times.
• Using proportions to solve word problems in Physics in Proportions, by ikleyn(53646)   Seen 22346 times.
• Using proportions to solve word problems in Proportions, by ikleyn(53646)   Seen 24986 times.
• Proportions in Proportions, by ikleyn(53646)   Seen 8864 times.
• OVERVIEW of lessons on Absolute Value equations in absolute-value, by ikleyn(53646)   Seen 4346 times.
• HOW TO solve equations containing Quadratic Terms under the Absolute Value sign. Lesson 2 in absolute-value, by ikleyn(53646)   Seen 4626 times.
• HOW TO solve equations containing Quadratic Terms under the Absolute Value sign. Lesson 1 in absolute-value, by ikleyn(53646)   Seen 17485 times.
• How to solve equations containing Linear Terms under the Absolute Value sign. Lesson 4 in absolute-value, by ikleyn(53646)   Seen 633 times.
• HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 3 in absolute-value, by ikleyn(53646)   Seen 3325 times.
• HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 2 in absolute-value, by ikleyn(53646)   Seen 3505 times.
• HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 1 in absolute-value, by ikleyn(53646)   Seen 3938 times.
• Absolute Value equations in absolute-value, by ikleyn(53646)   Seen 4255 times.
• Miscellaneous problems to be solved in two unknowns in Linear-systems, by ikleyn(53646)   Seen 876 times.
• Using system of two equations to solve the problem for the day of April, 1 in Linear-systems, by ikleyn(53646)   Seen 2570 times.
• Find the equation of a perpendicular line through a given point in Linear-equations, by math_tutor2020(3833)   Seen 1593 times.
• Cross Product Example in Vectors, by math_tutor2020(3833)   Seen 934 times.
• Perpendicular Bisector Example in Linear-equations, by math_tutor2020(3833)   Seen 645 times.
• OVERVIEW of my lessons on fractions in Numeric_Fractions, by ikleyn(53646)   Seen 2087 times.
• Entertainment problems on fractions in Numeric_Fractions, by ikleyn(53646)   Seen 1847 times.
• Advanced problems on ratios in Numeric_Fractions, by ikleyn(53646)   Seen 3026 times.
• Calculations with fractions in Numeric_Fractions, by ikleyn(53646)   Seen 4157 times.
• Using fractions to solve word problems in Numeric_Fractions, by ikleyn(53646)   Seen 52999 times.
• Finding digits of the decimal expansion to the number 1/977 in decimal-numbers, by ikleyn(53646)   Seen 907 times.
• Truth Tables (Logic) in Conjunction, by math_tutor2020(3833)   Seen 1387 times.
• OVERVIEW of lessons related to the slope of a straight line in Geometry_Word_Problems, by ikleyn(53646)   Seen 1364 times.
• Equations of straight lines in 3D space in Geometry_Word_Problems, by ikleyn(53646)   Seen 850 times.
• A tricky problem on a parabola and a straight normal line in Geometry_Word_Problems, by ikleyn(53646)   Seen 759 times.
• Math Circle level problem on finding equation of a line in Geometry_Word_Problems, by ikleyn(53646)   Seen 970 times.
• Advanced problems on finding equations for straight lines in Geometry_Word_Problems, by ikleyn(53646)   Seen 1730 times.
• Miscellaneous problems on equations of straight lines in a coordinate plane in Geometry_Word_Problems, by ikleyn(53646)   Seen 994 times.
• Finding a point in a segment [AB] between endpoints A and B in a coordinate plane in Geometry_Word_Problems, by ikleyn(53646)   Seen 752 times.
• Equation for a straight line perpendicular to a given line and passing through a given point in Geometry_Word_Problems, by ikleyn(53646)   Seen 2085 times.
• Equation for a straight line parallel to a given line and passing through a given point in Geometry_Word_Problems, by ikleyn(53646)   Seen 1976 times.
• Equation for a straight line in a coordinate plane passing through two given points in Geometry_Word_Problems, by ikleyn(53646)   Seen 1711 times.
• Solving problems related to the slope of a straight line in Geometry_Word_Problems, by ikleyn(53646)   Seen 1635 times.
• Equation for a straight line having a given slope and passing through a given point in Geometry_Word_Problems, by ikleyn(53646)   Seen 1696 times.
• Find the slope of a straight line in a coordinate plane passing through two given points in Geometry_Word_Problems, by ikleyn(53646)   Seen 1668 times.
• An Example of Successive Squaring in Divisibility_and_Prime_Numbers, by math_tutor2020(3833)   Seen 1162 times.
• Men and women standing in line in Miscellaneous_Word_Problems, by ikleyn(53646)   Seen 993 times.
• Triangle Inequality Theorem in Triangles, by math_tutor2020(3833)   Seen 1318 times.
• OVERVIEW of my lessons on solving equations containing radicals in Radicals, by ikleyn(53646)   Seen 1323 times.
• Solving systems of equations containing radicals in Radicals, by ikleyn(53646)   Seen 888 times.
• Advanced problems on solving equations containing radicals in Radicals, by ikleyn(53646)   Seen 1207 times.
• HOW TO solve equations containing radicals in Radicals, by ikleyn(53646)   Seen 11204 times.
• OVERVIEW of lessons on finding the minimum/maximum of a quadratic function in Quadratic_Equations, by ikleyn(53646)   Seen 2938 times.
• Advanced lesson on finding minima of (x+1)(x+2)(x+3)(x+4) in Quadratic_Equations, by ikleyn(53646)   Seen 3666 times.
• Minimal distance between sailing ships in a sea in Quadratic_Equations, by ikleyn(53646)   Seen 1946 times.
• Find the point on a given straight line closest to a given point in the plane in Quadratic_Equations, by ikleyn(53646)   Seen 1739 times.
• When is the best time to sell a pig ? in Quadratic_Equations, by ikleyn(53646)   Seen 2506 times.
• Using quadratic functions to solve problems on maximizing revenue/profit in Quadratic_Equations, by ikleyn(53646)   Seen 36178 times.
• Finding the maximum area of the window of a special form in Quadratic_Equations, by ikleyn(53646)   Seen 2615 times.
• A rancher planning to fence two adjacent rectangular corrals to enclose the maximal area in Quadratic_Equations, by ikleyn(53646)   Seen 7923 times.
• A farmer planning to fence a rectangular area along the river to enclose the maximal area in Quadratic_Equations, by ikleyn(53646)   Seen 9420 times.
• A farmer planning to fence a rectangular garden to enclose the maximal area in Quadratic_Equations, by ikleyn(53646)   Seen 5395 times.
• A rectangle with a given perimeter which has the maximal area is a square in Quadratic_Equations, by ikleyn(53646)   Seen 7365 times.
• Briefly on finding the vertex of a parabola in Quadratic_Equations, by ikleyn(53646)   Seen 2879 times.
• HOW TO complete the square to find the vertex of a parabola in Quadratic_Equations, by ikleyn(53646)   Seen 3639 times.
• Briefly on finding the minimum/maximum of a quadratic function in Quadratic_Equations, by ikleyn(53646)   Seen 4383 times.
• HOW TO complete the square to find the minimum/maximum of a quadratic function in Quadratic_Equations, by ikleyn(53646)   Seen 13925 times.
• Checking Equality in Equations, by math_tutor2020(3833)   Seen 804 times.
• Logic Rules of Inference and Replacement in Conjunction, by math_tutor2020(3833)   Seen 1055 times.
• OVERVIEW of lessons on Average, Mean and Median in Average, by ikleyn(53646)   Seen 2174 times.
• The mean and the total value problem for the International Fools' day of April, 1 in Average, by ikleyn(53646)   Seen 2846 times.
• Entertainment problems on average in Average, by ikleyn(53646)   Seen 1137 times.
• Math circle level problem on average in Average, by ikleyn(53646)   Seen 1074 times.
• Miscellaneous problems on average values in Average, by ikleyn(53646)   Seen 2117 times.
• Solved problems on average age in Average, by ikleyn(53646)   Seen 2075 times.
• Solved problems on average scores in Average, by ikleyn(53646)   Seen 2563 times.
• Solved problems on average scores, weight, height and temperature in Average, by ikleyn(53646)   Seen 2710 times.
• WHAT IS Median in Average, by ikleyn(53646)   Seen 23335 times.
• Difference between Arithmetic mean and Geometric mean in Average, by ikleyn(53646)   Seen 87138 times.
• WHAT IS Geometric mean in Average, by ikleyn(53646)   Seen 44242 times.
• OVERVIEW of lessons on a projectile thrown/shot/launched vertically up in Travel_Word_Problems, by ikleyn(53646)   Seen 2496 times.
• Miscellaneous problems on projectiles in Quadratic_Equations, by ikleyn(53646)   Seen 1663 times.
• Problems on projectile launched at an angle to horizon in Quadratic_Equations, by ikleyn(53646)   Seen 1610 times.
• Problem on a projectile thrown horizontally in Quadratic_Equations, by ikleyn(53646)   Seen 1714 times.
• A tangled problem on a ball thrown upward in Travel_Word_Problems, by ikleyn(53646)   Seen 978 times.
• A soccer ball - write the height equation in vertex form in Travel_Word_Problems, by ikleyn(53646)   Seen 862 times.
• A flare is launched from a life raft vertically up in Travel_Word_Problems, by ikleyn(53646)   Seen 766 times.
• Problem on a ball thrown vertically up from the top of a tower in Travel_Word_Problems, by ikleyn(53646)   Seen 2887 times.
• Problem on an arrow shot vertically upward in Travel_Word_Problems, by ikleyn(53646)   Seen 4410 times.
• Problem on a projectile moving vertically up and down in Travel_Word_Problems, by ikleyn(53646)   Seen 3593 times.
• Introductory lesson on a projectile thrown-shot-launched vertically up in Travel_Word_Problems, by ikleyn(53646)   Seen 1331 times.
• Problem on a toy rocket launched vertically up from a tall platform in Travel_Word_Problems, by ikleyn(53646)   Seen 2970 times.
• like terms in algebra in test, by Chuck-the-schmuck(0)   Seen 731 times.
• Advanced problems on associative property in Distributive-associative-commutative-properties, by ikleyn(53646)   Seen 961 times.
• OVERVIEW of lessons on dimensions and the area of rectangles and circles and their elements in Surface-area, by ikleyn(53646)   Seen 3654 times.
• Had the dimensions of a rectangle be changed . . . in Surface-area, by ikleyn(53646)   Seen 1960 times.
• Problems on a circular pool and a walkway around it in Surface-area, by ikleyn(53646)   Seen 10315 times.
• Making a box from a piece of cardboard in Surface-area, by ikleyn(53646)   Seen 2625 times.
• Cynthia Besch wants to buy a rug for a room in Surface-area, by ikleyn(53646)   Seen 1668 times.
• Problems on the area and the dimensions of a rectangle surrounded by a strip in Surface-area, by ikleyn(53646)   Seen 4342 times.
• Three methods to find the dimensions of a rectangle when its area and the difference of two dimensions are given in Surface-area, by ikleyn(53646)   Seen 1640 times.
• Three methods to find the dimensions of a rectangle when its perimeter and the area are given in Surface-area, by ikleyn(53646)   Seen 2010 times.
• Problems on the area and the perimeter of a rectangle in Surface-area, by ikleyn(53646)   Seen 2952 times.
• Solving more complicated problems by the backward method in Equations, by ikleyn(53646)   Seen 1721 times.
• Find an equation of a parabola passing through given points in Quadratic_Equations, by ikleyn(53646)   Seen 1697 times.
• Using quadratic equations to find the dimensions of a rectangle in Quadratic_Equations, by ikleyn(53646)   Seen 2275 times.
• Find a number using a quadratic equation in Quadratic_Equations, by ikleyn(53646)   Seen 1293 times.
• OVERVIEW of lessons on coin word problems in Word_Problems_With_Coins, by ikleyn(53646)   Seen 7736 times.
• We easily deal with four unknowns in Word_Problems_With_Coins, by ikleyn(53646)   Seen 953 times.
• Santa Claus helps solving coin problem in Word_Problems_With_Coins, by ikleyn(53646)   Seen 2307 times.
• Swapping dimes and quarters in Word_Problems_With_Coins, by ikleyn(53646)   Seen 1088 times.
• Non-typical coin problems in Word_Problems_With_Coins, by ikleyn(53646)   Seen 1840 times.
• Solving coin problems mentally by grouping without using equations in Word_Problems_With_Coins, by ikleyn(53646)   Seen 2705 times.
• Advanced coin problems in Word_Problems_With_Coins, by ikleyn(53646)   Seen 2505 times.
• More complicated coin problems in Word_Problems_With_Coins, by ikleyn(53646)   Seen 5477 times.
• Three methods for solving standard (typical) coin word problems in Word_Problems_With_Coins, by ikleyn(53646)   Seen 2341 times.
• Typical coin problems from the archive in Word_Problems_With_Coins, by ikleyn(53646)   Seen 2970 times.
• Kevin and Randy Muise have a jar containing coins in Word_Problems_With_Coins, by ikleyn(53646)   Seen 7194 times.
• Solving coin problems without using equations in Word_Problems_With_Coins, by ikleyn(53646)   Seen 5376 times.
• More Coin problems in Word_Problems_With_Coins, by ikleyn(53646)   Seen 13834 times.
• Coin problems in Word_Problems_With_Coins, by ikleyn(53646)   Seen 72439 times.
• Finding the equation of a line given two points (standard form) in Equations, by math_tutor2020(3833)   Seen 1043 times.
• Split a line segment into n equal pieces in Geometric_formulas, by math_tutor2020(3833)   Seen 1208 times.
• Transformations in Statistics (adding the same value to each item in a list) in Probability-and-statistics, by math_tutor2020(3833)   Seen 918 times.
• Box Method in test, by math_tutor2020(3833)   Seen 2175 times.
• OVERVIEW of lessons on perimeter and side lengths of triangles, parallelograms and rectangles in Points-lines-and-rays, by ikleyn(53646)   Seen 2623 times.
• Solved problems on the perimeter and side lengths of a rectangle in Points-lines-and-rays, by ikleyn(53646)   Seen 4752 times.
• Solved problems on the perimeter and the side lengths of a parallelogram in Points-lines-and-rays, by ikleyn(53646)   Seen 2507 times.
• Solved problems on the perimeter and side lengths of a right-angled triangle in Points-lines-and-rays, by ikleyn(53646)   Seen 2136 times.
• Solved problems on the perimeter and side lengths of a triangle in Points-lines-and-rays, by ikleyn(53646)   Seen 3295 times.
• Find Equation of a Line given Slope and a Point in Equations, by VirtualMathTutor(26)   Seen 84385 times.
• Solving advanced arithmetic word problems by reasoning in Equations, by ikleyn(53646)   Seen 1117 times.
• OVERWIEW of lessons on deriving equations for locuses of points in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 1354 times.
• Derive an equation and show that the locus of points is a circle in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 1410 times.
• Derive an equation and show that the locus of points is a parabola in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 1419 times.
• Derive an equation and show that the locus of points is a hyperbola in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 1212 times.
• Derive an equation and show that the locus of points is an ellipse in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 1154 times.
• Derive an equation and show that the locus of points is a straight line in Quadratic-relations-and-conic-sections, by ikleyn(53646)   Seen 1230 times.
• Two chords in a circle are congruent if and only if they are equally remoted from the center in Geometry_Word_Problems, by ikleyn(53646)   Seen 1249 times.
• OVERVIEW of solved problems on angles of triangles, parallelograms, quadrilaterals and polygons in Points-lines-and-rays, by ikleyn(53646)   Seen 3588 times.
• Solved problems on angles of a regular polygon in Points-lines-and-rays, by ikleyn(53646)   Seen 4585 times.
• Solved problems on missed angle of a polygon in Points-lines-and-rays, by ikleyn(53646)   Seen 2369 times.
• Solved problems on angles of a polygon in Points-lines-and-rays, by ikleyn(53646)   Seen 2530 times.
• Solved problems on angles of a quadrilateral in Points-lines-and-rays, by ikleyn(53646)   Seen 2755 times.
• Solved problems on angles of a parallelogram in Points-lines-and-rays, by ikleyn(53646)   Seen 6143 times.
• Solved problems on angles of a triangle in Points-lines-and-rays, by ikleyn(53646)   Seen 2682 times.
• Solved problems on supplementary and complementary angles in Points-lines-and-rays, by ikleyn(53646)   Seen 3905 times.
• OVERIEW of lessons on Angles Basics, Supplementary and Complementary angles, Vertical angles, Parallel lines in Angles, by ikleyn(53646)   Seen 3937 times.
• HOW TO solve problems on parallel lines - Examples in Geometry_Word_Problems, by ikleyn(53646)   Seen 12446 times.
• HOW TO solve problems on supplementary, complementary or vertical angles - Examples in Geometry_Word_Problems, by ikleyn(53646)   Seen 47811 times.
• Parallel lines in Angles, by ikleyn(53646)   Seen 25965 times.
• Vertical angles_ in Angles, by ikleyn(53646)   Seen 5761 times.
• Angles basics in Angles, by ikleyn(53646)   Seen 18590 times.
• Z-SCORE OR T-SCORE in Central-limit-theorem, by Theo(13342)   Seen 895 times.
• More problems on Conditional probability in Probability-and-statistics, by ikleyn(53646)   Seen 1961 times.
• Stewart's Theorem in Triangles, by CubeyThePenguin(3113)   Seen 2255 times.
• Prove that the number (cube root of 2 PLUS cube root of 4) is irrational in Number-Line, by ikleyn(53646)   Seen 1297 times.
• HOW TO PLOT transformed functions in Coordinate-system, by ikleyn(53646)   Seen 1090 times.
• Proving irrationality of some real numbers in Number-Line, by ikleyn(53646)   Seen 4150 times.
• Number Line in Number-Line, by ikleyn(53646)   Seen 2735 times.
• SUMMARY OF TIME VALUE OF MONEY FINANCIAL FORMULAS in Finance, by Theo(13342)   Seen 8476 times.
• Introduction to Roman Numerals in Roman-numerals, by CoolRekt(53)   Seen 1504 times.
• Domain of a function which is the square root of a rational function in Functions, by ikleyn(53646)   Seen 2728 times.
• Domain of a function which is a high degree polynomial under the square root operator in Functions, by ikleyn(53646)   Seen 2335 times.
• Domain of a function which is a quadratic polynomial under the square root operator in Functions, by ikleyn(53646)   Seen 3540 times.
• Grade 6 unit 8 lesson 1 in test, by 8973(0)   Seen 1975 times.
• Sines in Trigonometry-basics, by Shin123(626)   Seen 3188 times.
• How to Big Dave in Linear-equations, by BlGDAVE(19)   Seen 1731 times.
• HOW TO solve problems on the angles of parallelograms - Examples in Geometry_Word_Problems, by ikleyn(53646)   Seen 40559 times.
• HOW TO solve problems on the parallelogram sides measures - Examples in Geometry_Word_Problems, by ikleyn(53646)   Seen 23324 times.
• How many small coins can be placed around a large coin ? in Geometry_Word_Problems, by ikleyn(53646)   Seen 1182 times.
• Equations with up to 2 solutions in Linear-systems, by Shin123(626)   Seen 2208 times.
• The radius of the circle inscribed into an isosceles trapezoid in Geometry_Word_Problems, by ikleyn(53646)   Seen 4246 times.
• PROPERTIES OF POLYGONS in Polygons, by ikleyn(53646)   Seen 4318 times.
• Miscellaneous problems on polygons in Polygons, by ikleyn(53646)   Seen 5947 times.
• The side length of a regular polygon via the radius of the inscribed circle in Polygons, by ikleyn(53646)   Seen 5964 times.
• The side length of a regular polygon via the radius of the circumscribed circle in Polygons, by ikleyn(53646)   Seen 28565 times.
• Regular polygons in Polygons, by ikleyn(53646)   Seen 6095 times.
• Quadrilateral circumscribed about a circle in Polygons, by ikleyn(53646)   Seen 27492 times.
• Quadrilateral inscribed in a circle in Polygons, by ikleyn(53646)   Seen 9378 times.
• Sum of interior angles of a polygon in Polygons, by ikleyn(53646)   Seen 7426 times.
• Solved problems on the side length of a regular polygon in Geometry_Word_Problems, by ikleyn(53646)   Seen 13153 times.
• Solved problems on interior angles of a polygon in Geometry_Word_Problems, by ikleyn(53646)   Seen 9614 times.
• PROPERTIES OF TRAPEZOIDS in Polygons, by ikleyn(53646)   Seen 32939 times.
• Solved problems on isosceles trapezoids in Geometry_Word_Problems, by ikleyn(53646)   Seen 29357 times.
• Solved problems on trapezoids in Geometry_Word_Problems, by ikleyn(53646)   Seen 12661 times.
• HOW TO construct a trapezoid given by the lengths of its sides in Polygons, by ikleyn(53646)   Seen 22766 times.
• Trapezoid is uniquely defined by the lengths of its sides in Polygons, by ikleyn(53646)   Seen 6029 times.
• Solving problems on isosceles trapezoids in Polygons, by ikleyn(53646)   Seen 10094 times.
• Solving problems on trapezoids in Polygons, by ikleyn(53646)   Seen 21997 times.
• Mid-line of a trapezoid is the locus of points equidistant from its bases in Polygons, by ikleyn(53646)   Seen 8616 times.
• Diagonals of an isosceles trapezoid are congruent in Polygons, by ikleyn(53646)   Seen 65025 times.
• Trapezoids and their mid-lines in Polygons, by ikleyn(53646)   Seen 29691 times.
• Trapezoids and their base angles in Polygons, by ikleyn(53646)   Seen 53599 times.
• Law of Cosines in Trigonometry-basics, by Shin123(626)   Seen 1203 times.
• Cube Roots and More* (Basic Algebra YouTube Video of Dr. Rapalje) in Square-cubic-other-roots, by rapaljer(4671)   Seen 46656 times.
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• Law of Cosines in Trigonometry-basics, by Shin123(626)   Seen 2778 times.
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• College Algebra Exam 4CR Logarithms Dr. Rapalje in logarithm, by rapaljer(4671)   Seen 1006 times.
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• College Algebra Exam 4DR Logarithms Dr. Rapalje in test, by rapaljer(4671)   Seen 867 times.
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• College Algebra Exam 1KGR Dr. Rapalje in test, by rapaljer(4671)   Seen 857 times.
• Basic Algebra Exam 5C Radicals_Dr. Rapalje in test, by rapaljer(4671)   Seen 882 times.
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• Basic Algebra Exam 5Z Square Roots Dr. Rapalje in test, by rapaljer(4671)   Seen 860 times.
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• Basic Algebra Exam 4GR Graphing Dr. Rapalje in test, by rapaljer(4671)   Seen 792 times.
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• Basic Algebra Exam 1C Dr. Rapalje in test, by rapaljer(4671)   Seen 807 times.
• Basic Algebra Exam 1D Dr. Rapalje in test, by rapaljer(4671)   Seen 844 times.
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• Inter Algebra Sec 5.03 The Equation of a Line in Living Color by Rapalje in Linear-equations, by rapaljer(4671)   Seen 1578 times.
• Inter Algebra Sec 4.06 Quadratic Applications in Living Color by Rapalje in Quadratic_Equations, by rapaljer(4671)   Seen 987 times.
• Inter Algebra Sec 4.03 The Quadratic Formula in Living Color by Rapalje in Quadratic_Equations, by rapaljer(4671)   Seen 1068 times.
• Inter Algebra Sec 4.01 Absolute Value Equations and Inequalities in Living Color by Rapalje in absolute-value, by rapaljer(4671)   Seen 1301 times.
• Inter Algebra Sec 3.07 Radical Equations in Living Color by Rapalje in Radicals, by rapaljer(4671)   Seen 994 times.
• Inter Algebra Sec 3.06 Complex Numbers in Living Color by Rapalje in Complex_Numbers, by rapaljer(4671)   Seen 1444 times.
• Inter Algebra Sec 3.04 Rationalizing Denominators in Living Color by Rapalje in Square-cubic-other-roots, by rapaljer(4671)   Seen 1017 times.
• Inter Algebra Sec 3.03 Reducing Fractions with Radicals in Living Color by Rapalje in Square-cubic-other-roots, by rapaljer(4671)   Seen 1000 times.
• Inter Algebra Sec 3.02 Operations with Radicals in Living Color by Rapalje in Square-cubic-other-roots, by rapaljer(4671)   Seen 966 times.
• Inter Algebra Sec 3.01 Square Roots and other Radicals in Living Color by Rapalje in Square-cubic-other-roots, by rapaljer(4671)   Seen 948 times.
• Inter Algebra Sec 2.10 Polynomials and Synthetic Division in Living Color by Rapalje in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 870 times.
• Inter Algebra Sec 2.08 Fractions in Review in Living Color by Rapalje in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 852 times.
• Inter Algebra Sec 2.07 Literal Equations in Living Color by Rapalje in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 995 times.
• Inter Algebra Sec 2.07 Fractional Equations in Living Color by Rapalje in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 869 times.
• Inter Algebra Sec 2.05 Adding and Subtracting Fractions in Living Color by Rapalje in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 839 times.
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• Inter Algebra Sec 2.02 Quadratic Equations by Factoring in Living Color by Rapalje in Quadratic_Equations, by rapaljer(4671)   Seen 1266 times.
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• Inter Algebra Sec 1.08 Polynomials in Living Color by Rapalje in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 899 times.
• Inter Algebra Sec 1.06 Inequalities in Living Color by Rapalje in Inequalities, by rapaljer(4671)   Seen 1199 times.
• Inter Algebra Sec 1.05 Word Problems in Living Color by Rapalje in Miscellaneous_Word_Problems, by rapaljer(4671)   Seen 826 times.
• Inter Algebra Sec 1.04 Literal Equations in Living Color by Rapalje in Equations, by rapaljer(4671)   Seen 1030 times.
• Inter Algebra Sec 1.04 Linear Equations, Absolute Value in Living Color by Rapalje in Equations, by rapaljer(4671)   Seen 965 times.
• Inter Algebra Sec 1.02 Signed Numbers, Absolute Value in Living Color by Rapalje in Signed-numbers, by rapaljer(4671)   Seen 1305 times.
• Inter Algebra Sec 1.02 Order of Operations in Living Color by Rapalje in Signed-numbers, by rapaljer(4671)   Seen 1261 times.
• College Algebra Sec 4.04 Logarithmic Equations in Living Color by Rapalje in logarithm, by rapaljer(4671)   Seen 1023 times.
• College Algebra Sec 4.03 Laws of Logarithms in Living Color by Rapalje in logarithm, by rapaljer(4671)   Seen 1005 times.
• College Algebra Sec 3.07 Systems of Equations and Inequalities in Living Color by Rapalje in Linear-systems, by rapaljer(4671)   Seen 1217 times.
• College Algebra Sec 3.06 Polynomial and Fractional Inequalities in Living Color by Rapalje in Graphs, by rapaljer(4671)   Seen 1486 times.
• College Algebra Sec 3.04 Factoring by Synthetic Division, Rational Root Theorem in Living Color by Rapalje in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 903 times.
• College Algebra Sec 1.05 Fractions in Living Color by Rapalje in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 903 times.
• College Algebra Sec 3.03 Polynomial Functions in Living Color by Rapalje in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 962 times.
• Complex Fractions Solved in Living Color Part II by Rapalje in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 904 times.
• Complex Fractions Solved in Living Color Part I by Rapalje in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 976 times.
• Strategies for Success in Math in test, by rapaljer(4671)   Seen 962 times.
• Finding Help, Locating Resources by Rapalje in test, by rapaljer(4671)   Seen 923 times.
• Attitude and Personality Type in Learning Math in test, by rapaljer(4671)   Seen 892 times.
• Test Taking Skills by Rapalje in test, by rapaljer(4671)   Seen 1182 times.
• Overcoming Math Anxiety by Rapalje in test, by rapaljer(4671)   Seen 1274 times.
• Basic Algebra Sec 4.07 Systems of Equations in Living Color by Rapalje in Graphs, by rapaljer(4671)   Seen 1525 times.
• Basic Algebra Sec 4.04 Graphing Inequalities in Two Variables in Living Color by Rapalje in Graphs, by rapaljer(4671)   Seen 1624 times.
• Basic Algebra Sec 4.06 Equation of a Line in Living Color by Rapalje in Graphs, by rapaljer(4671)   Seen 1515 times.
• Basic Algebra Sec 4.03 Intercept Method, Non-Linear Graphs in Living_Color_by_Rapalje in Graphs, by rapaljer(4671)   Seen 1578 times.
• Basic Algebra Sec 4.01 Graphing a Line in Living Color in Graphs, by rapaljer(4671)   Seen 1489 times.
• Basic Algebra Sec 3.01 Reducing Fractions in Living Color by Rapalje in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 1014 times.
• Basic Algebra Sec 3.05 Fractional Equations in Living Color by Rapalje in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 919 times.
• Basic Algebra Sec 3.07 Literal Equations in Living Color by Rapalje in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 972 times.
• Basic Algebra Sec 3.06 Review of Fractions in Living Color by Rapalje in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 852 times.
• Basic Algebra Sec 3.04 Adding and Subtracting Fractions in Living Color by Rapalje in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 830 times.
• Basic Algebra Sec 3.02 Multiplying and Dividing Fractions in Living Color by Rapalje in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 947 times.
• Basic Algebra Sec 2.14 Scientific Notation in Living Color by Rapalje in decimal-numbers, by rapaljer(4671)   Seen 1390 times.
• Basic Algebra Sec 2.13 Zero and Negative Exponents in Living Color by Rapalje in Exponents, by rapaljer(4671)   Seen 1351 times.
• Logarithms Videos by Rapalje in logarithm, by rapaljer(4671)   Seen 3442 times.
• Basic Algebra Sec 1.06 Combining Like Terms, Distributive Prop in Living Color by Rapalje in expressions, by rapaljer(4671)   Seen 1666 times.
• Basic Algebra Sec 1.05 Variables and Substitution in Living Color by Rapalje in Signed-numbers, by rapaljer(4671)   Seen 1383 times.
• Basic Algebra Sec 1.08 Equation Solving in Living Color by Rapalje in Equations, by rapaljer(4671)   Seen 976 times.
• Basic Algebra 1.03 Signed Numbers, Absolute Value in Living Color by Rapalje in Signed-numbers, by rapaljer(4671)   Seen 1441 times.
• Basic Algebra Sec 1.02 Order of Operations in Living Color by Rapalje in Signed-numbers, by rapaljer(4671)   Seen 5044 times.
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• Trigonometry Exam 1B with Solutions by Rapalje in Trigonometry-basics, by rapaljer(4671)   Seen 2810 times.
• Trigonometry Exam 1C with Solutions by Rapalje in Trigonometry-basics, by rapaljer(4671)   Seen 3280 times.
• Trigonometry Exam 1 at UCF with Solutions by Rapalje in Trigonometry-basics, by rapaljer(4671)   Seen 3083 times.
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• College Algebra for Calculus Exam 2B with Solutions by Rapalje in test, by rapaljer(4671)   Seen 8248 times.
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• College Algebra for Calculus Exam 3B with Solutions by Rapalje in test, by rapaljer(4671)   Seen 5346 times.
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• College Algebra for Calculus Exam 4B with Solutions by Rapalje in test, by rapaljer(4671)   Seen 6395 times.
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• College Algebra for Calculus Final Exam B with Solutions by Rapalje in test, by rapaljer(4671)   Seen 6254 times.
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• Basic Algebra Section 3.07 Literal Equations by Rapalje in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 6833 times.
• Basic Algebra Sec 3.06 Review of Fractions by Rapalje in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 3770 times.
• Basic Algebra Sec 3.05 Fractional Equations_by_Rapalje in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 2397 times.
• Basic Algebra Sec 3.04 Adding and Subtracting Fractions by_Rapalje in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 2679 times.
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• Basic Algebra Sec 3.01 Reducing Fractions by Rapalje in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 5291 times.
• Basic Algebra Sec 2.12 Laws of Exponents: Positive Exponents in Exponents, by rapaljer(4671)   Seen 61557 times.
• Basic Algebra Sec 2.13Laws of Exponents: Zero and Negative Exponents in Exponents, by rapaljer(4671)   Seen 90939 times.
• Basic Algebra Sec 2.05 Factoring Difference of Squares in Quadratic_Equations, by rapaljer(4671)   Seen 6700 times.
• Basic Algebra Sec 2.04 Factoring Trinomials in Living Color by Rapalje in Quadratic_Equations, by rapaljer(4671)   Seen 9386 times.
• Basic Algebra Sec 2.08 Review of Factoring in Living Color by Rapalje in Quadratic_Equations, by rapaljer(4671)   Seen 5204 times.
• Basic Algebra Sec 1.10 Word Problems (Part I) in Miscellaneous_Word_Problems, by rapaljer(4671)   Seen 25241 times.
• Basic Algebra Sec 1.10 Word Problems (Coin Problems and Mixture Problems) Part II in Miscellaneous_Word_Problems, by rapaljer(4671)   Seen 64623 times.
• Basic Algebra Sec 5.06 Rationalizing Denominators by Rapalje in Square-cubic-other-roots, by rapaljer(4671)   Seen 15891 times.
• Basic Algebra Sec 5.08 Review of Radicals by Rapalje in Square-cubic-other-roots, by rapaljer(4671)   Seen 5436 times.
• Basic Algebra Sec 5.05 Reducing Fractions with Square Roots in Square-cubic-other-roots, by rapaljer(4671)   Seen 8156 times.
• Basic Algebra Sec 2.11 Quadratic Applications Rapalje in Geometry_Word_Problems, by rapaljer(4671)   Seen 6969 times.
• Basic Algebra Sec 4.03 Graphing by Intercept Method by Rapalje in Graphs, by rapaljer(4671)   Seen 8944 times.
• Basic Algebra Sec 1.07 Number Properties by Rapalje in Distributive-associative-commutative-properties, by rapaljer(4671)   Seen 9984 times.
• Basic Algebra Sec 4.04 Graphing Inequalities in Two Variables by Rapalje in Graphs, by rapaljer(4671)   Seen 5871 times.
• Basic Algebra Sec 4.02 Graphing by Slope Intercept Method by Rapalje in Graphs, by rapaljer(4671)   Seen 5598 times.
• Basic Algebra Sec 4.09 Functional Notation by Rapalje in Functions, by rapaljer(4671)   Seen 36279 times.
• Basic Algebra Sec 2.02 Factoring Numbers by Rapalje in Divisibility_and_Prime_Numbers, by rapaljer(4671)   Seen 10408 times.
• Basic Algebra Sec 4.06 Finding the Equation of a Line by Rapalje in Graphs, by rapaljer(4671)   Seen 4815 times.
• Basic Algebra, Sec 4.05 More Slope by Rapalje in Graphs, by rapaljer(4671)   Seen 3185 times.
• Basic Algebra Sec 4.07 Solving Two Equations and Two Unknowns by Rapalje, in Linear-systems, by rapaljer(4671)   Seen 4831 times.
• Basic Algebra Sec 5.07 Quadratic Formula by Rapalje, in Quadratic_Equations, by rapaljer(4671)   Seen 7820 times.
• Basic Algebra Sec 2.10 Theorem of Pythagoras in Living Color by Rapalje, in Pythagorean-theorem, by rapaljer(4671)   Seen 3788 times.
• Basic Algebra, Sec 3.08 Ratio and Proportion by Rapalje in Proportions, by rapaljer(4671)   Seen 11605 times.
• Basic Algebra Sec 2.07 Factoring by Grouping by Rapalje in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 232020 times.
• Basic Algebra Sec 3.03 Least Common Denominators in Divisibility_and_Prime_Numbers, by rapaljer(4671)   Seen 37750 times.
• Basic Algebra Sec 2,10 Theorem of Pythagoras by Rapalje in Pythagorean-theorem, by rapaljer(4671)   Seen 4436 times.
• Basic Algebra Sec 2.04 Factoring Trinomials by Rapalje in Quadratic_Equations, by rapaljer(4671)   Seen 61459 times.
• Basic Algebra Sec 1.09 Introduction to Word Problems by Rapalje in Human-and-algebraic-language, by rapaljer(4671)   Seen 26539 times.
• Basic Algebra Sec 2.14 Scientific Notation by Rapalje in Exponents, by rapaljer(4671)   Seen 40413 times.
• Basic Algebra Sec 2.01 Products of Binomials by FOIL in Living Color by Rapalje in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 32541 times.
• Basic Algebra Sec 5.03 Adding and Subtracting Square Roots in Living Color in Square-cubic-other-roots, by rapaljer(4671)   Seen 131494 times.
• Basic Algebra Sec 2.05 Difference of Squares in Living Color by Rapalje in Quadratic_Equations, by rapaljer(4671)   Seen 13818 times.
• Basic Algebra Sec 1.08 Equation Solving by Rapalje in Equations, by rapaljer(4671)   Seen 53938 times.
• Basic Algebra Sec 1.01 Number Systems by Rapalje in Number-Line, by rapaljer(4671)   Seen 21178 times.
• Basic Algebra Sec 1.02 Order of Operations by Rapalje in Signed-numbers, by rapaljer(4671)   Seen 23313 times.
• Basic Algebra Sec 1.05 Variables and Substitution by Rapalje in Expressions-with-variables, by rapaljer(4671)   Seen 24163 times.
• Basic Algebra Sec 1.03 Signed Numbers and Absolute Value by Rapalje in Signed-numbers, by rapaljer(4671)   Seen 20285 times.
• Basic Algebra Sec 2.08 Review of Factoring in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 10652 times.
• Basic Algebra Sec 2.09 Factoring Quadratic Equations by Rapalje in Quadratic_Equations, by rapaljer(4671)   Seen 36220 times.
• Basic Algebra Sec 5.01 Square Roots by Rapalje in Square-cubic-other-roots, by rapaljer(4671)   Seen 5176 times.
• Basic Algebra Sec 5.04 Multiplying Square Roots in Square-cubic-other-roots, by rapaljer(4671)   Seen 54517 times.
• Basic Algebra Sec 2.07 Grouping, Factoring the Sum and Difference of Cubes in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 65509 times.
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• Inter Algebra Literal Equations* (YouTube Video of Dr. Rapalje) in Equations, by rapaljer(4671)   Seen 948 times.
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• Equations with Proportions* (YouTube Video of Dr. Rapalje) in Equations, by rapaljer(4671)   Seen 1254 times.
• Fractional Exponents with Negative Base Numbers* (YouTube Video of Dr. Rapalje) in Exponents, by rapaljer(4671)   Seen 1228 times.
• Intermediate Algebra Fractional Exponents* (YouTube Video of Dr. Rapaje) in Exponents, by rapaljer(4671)   Seen 1366 times.
• Intermed Alg Rationalizing Binomial Denominators* (YouTube Videos of Dr. Rapalje) in Radicals, by rapaljer(4671)   Seen 1010 times.
• Inter Alg Rationalizing Cube Root Denominators* (YouTube Video of Dr. Rapalje in Radicals, by rapaljer(4671)   Seen 1173 times.
• Inter Alg Rationalizing Monomial Denominators* (YouTube Video of Dr. Rapalje) in Radicals, by rapaljer(4671)   Seen 1065 times.
• Inter Alg Simplifying Radicals* (YouTube Video of Dr. Rapalje) in Radicals, by rapaljer(4671)   Seen 1241 times.
• Products of Square Roots (Radicals)* (YouTube Video of Dr. Rapalje) in Radicals, by rapaljer(4671)   Seen 1205 times.
• Inter Alg Reducing Fractions with Radicals* (YouTube Video of Dr. Rapalje) in Radicals, by rapaljer(4671)   Seen 1295 times.
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• Inter Alg Adding and Subtracting Radicals* (YouTube Video of Dr. Rapalje) in Radicals, by rapaljer(4671)   Seen 971 times.
• Adding and Subtracting Square Roots (Radicals)* (YouTube Video of Dr. Rapalje) in Radicals, by rapaljer(4671)   Seen 916 times.
• Basic Algebra Simplifying Square Roots (Radicals)* (YouTube of Dr. Rapalje) in Radicals, by rapaljer(4671)   Seen 1327 times.
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• Graphing a Line by Slope Intercept Method* (YouTube of Dr. Rapalje) in Graphs, by rapaljer(4671)   Seen 784 times.
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• Complex Fractions* (YouTube Video of Dr. Rapalje) in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 1140 times.
• Adding and Subtracting Fractions (Int Alg)* (YouTube of Dr. Rapalje) in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 922 times.
• Solving Quadratic Equations by Factoring* (YouTube Video of Dr. Rapalje) in Polynomials-and-rational-expressions, by rapaljer(4671)   Seen 1004 times.
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