Pre-Algebra
- Using linear equations to solve word problems in Equations. Seen 8337 times.
- How to solve a linear equation in Equations. Seen 12811 times.
- Using proportions to solve Chemistry problems in Proportions. Seen 1840 times.
- Using proportions to solve word problems in Physics in Proportions. Seen 3027 times.
- Using proportions to solve word problems in Proportions. Seen 4630 times.
- Proportions in Proportions. Seen 1549 times.
- Percentage problems in percentage. Seen 7623 times.
- Using fractions to solve word problems in Numeric_Fractions. Seen 11759 times.
- Proof of Fundamental Theorem of Arithmetic in Divisibility_and_Prime_Numbers. Seen 3438 times.
- Prime numbers and the Fundamental Theorem of Arithmetic in Divisibility_and_Prime_Numbers. Seen 1914 times.
- Examples of using Scientific notation in decimal-numbers. Seen 1998 times.
- Difference between Arithmetic mean and Geometric mean in Average. Seen 16221 times.
- WHAT IS Geometric mean in Average. Seen 8880 times.
- WHAT IS Median in Average. Seen 11058 times.
Algebra I
- REVIEW of lessons on Absolute Value equations in absolute-value. Seen 156 times.
- HOW TO solve equations containing Quadratic Terms under the Absolute Value sign. Lesson 2 in absolute-value. Seen 136 times.
- HOW TO solve equations containing Quadratic Terms under the Absolute Value sign. Lesson 1 in absolute-value. Seen 124 times.
- HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 3 in absolute-value. Seen 131 times.
- HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 2 in absolute-value. Seen 133 times.
- HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 1 in absolute-value. Seen 168 times.
- Absolute Value equations in absolute-value. Seen 124 times.
- REVIEW of lessons on plotting functions with Linear Terms under the Absolute Value sign in absolute-value. Seen 132 times.
- HOW TO plot functions containing Linear Terms under the Absolute Value sign. Lesson 3 in absolute-value. Seen 144 times.
- HOW TO plot functions containing Linear Terms under the Absolute Value sign. Lesson 2 in absolute-value. Seen 134 times.
- HOW TO plot functions containing Linear Terms under the Absolute Value sign. Lesson 1 in absolute-value. Seen 195 times.
- Divisibility of polynomial f(x) by binomial x-a in Polynomials-and-rational-expressions. Seen 428 times.
- REVIEW of Factoring the binomials x^n-a^n and x^n+a^n in Polynomials-and-rational-expressions. Seen 363 times.
- Factoring the binomials x^n+a^n for odd degrees in Polynomials-and-rational-expressions. Seen 341 times.
- Factoring the binomials x^n-a^n in Polynomials-and-rational-expressions. Seen 283 times.
- Simplifying rational expressions with the use the shortcut multiplication formulas in Polynomials-and-rational-expressions. Seen 723 times.
- HOW TO rationalize a fraction by making its denominator free of cubic roots in Polynomials-and-rational-expressions. Seen 392 times.
- REVIEW of shortcut cubic multiplication formulas in Polynomials-and-rational-expressions. Seen 363 times.
- The difference of cubes formula in Polynomials-and-rational-expressions. Seen 871 times.
- The sum of cubes formula in Polynomials-and-rational-expressions. Seen 1160 times.
- The cube of the difference formula in Polynomials-and-rational-expressions. Seen 396 times.
- The cube of the sum formula in Polynomials-and-rational-expressions. Seen 920 times.
- HOW TO rationalize a fraction by making its denominator free of square roots in Polynomials-and-rational-expressions. Seen 451 times.
- REVIEW of shortcut quadratic multiplication formulas in Polynomials-and-rational-expressions. Seen 347 times.
- The difference of squares formula in Polynomials-and-rational-expressions. Seen 1038 times.
- The square of the difference formula in Polynomials-and-rational-expressions. Seen 672 times.
- The square of the sum formula in Polynomials-and-rational-expressions. Seen 1089 times.
- Solving exponential equations in logarithm. Seen 2124 times.
- Using logarithms to solve real world problems in logarithm. Seen 9274 times.
- Solving logarithmic equations in logarithm. Seen 2386 times.
- Change of Base Formula for logarithms in logarithm. Seen 4012 times.
- Properties of the logarithm in logarithm. Seen 3571 times.
- WHAT IS the logarithm in logarithm. Seen 1608 times.
- Solving equations containing radicals in Radicals. Seen 2830 times.
- Solving the system of algebraic equations of degree 2 in Systems-of-equations. Seen 2577 times.
- Solving the system of algebraic equations of degree 2 and degree 1 in Systems-of-equations. Seen 2189 times.
- Solving algebraic equations of high degree in Systems-of-equations. Seen 2298 times.
- Using quadratic equations to solve word problems in Quadratic_Equations. Seen 26821 times.
- Who is who in quadratic equations in Quadratic_Equations. Seen 1124 times.
- Solving quadratic equations without quadratic formula in Quadratic_Equations. Seen 4861 times.
- Solving word problems using linear systems of two equations with two unknowns in Linear-systems. Seen 16404 times.
- Geometry interpretation of the linear system of two equations with two unknowns in Linear-systems. Seen 1396 times.
- Solution of the linear system of two equations with two unknowns using determinant in Linear-systems. Seen 1988 times.
- Solution of the linear system of two equations with two unknowns by the Elimination method in Linear-systems. Seen 2914 times.
- Solution of the linear system of two equations with two unknowns by the Substitution method in Linear-systems. Seen 2844 times.
Algebra II
- Optical property of a hyperbola in Quadratic-relations-and-conic-sections. Seen 10 times.
- Tangent lines and normal vectors to a hyperbola in Quadratic-relations-and-conic-sections. Seen 24 times.
- Hyperbola focal property in Quadratic-relations-and-conic-sections. Seen 22 times.
- Hyperbola definition, canonical equation, characteristic points and elements in Quadratic-relations-and-conic-sections. Seen 29 times.
- REVIEW of lessons on parabolas in Quadratic-relations-and-conic-sections. Seen 55 times.
- Optical property of a parabola in Quadratic-relations-and-conic-sections. Seen 70 times.
- Tangent lines and normal vectors to a parabola in Quadratic-relations-and-conic-sections. Seen 61 times.
- Parabola focal property in Quadratic-relations-and-conic-sections. Seen 67 times.
- Parabola definition, canonical equation, characteristic points and elements in Quadratic-relations-and-conic-sections. Seen 63 times.
- REVIEW of lessons on ellipses in Quadratic-relations-and-conic-sections. Seen 90 times.
- Optical property of an ellipse in Quadratic-relations-and-conic-sections. Seen 107 times.
- Tangent lines and normal vectors to an ellipse in Quadratic-relations-and-conic-sections. Seen 104 times.
- Tangent lines and normal vectors to a circle in Quadratic-relations-and-conic-sections. Seen 65 times.
- Ellipse focal property in Quadratic-relations-and-conic-sections. Seen 91 times.
- Ellipse definition, canonical equation, characteristic points and elements in Quadratic-relations-and-conic-sections. Seen 102 times.
- The Pascal's triangle in Permutations. Seen 212 times.
- Remarkable identities for Binomial Coefficients in Permutations. Seen 270 times.
- Binomial Theorem, Binomial Formula, Binomial Coefficients and Binomial Expansion in Permutations. Seen 353 times.
- Problems on Combinations in Permutations. Seen 269 times.
- Problems on Permutations in Permutations. Seen 271 times.
- PROOF of the formula on the number of Combinations in Permutations. Seen 385 times.
- Introduction to Combinations in Permutations. Seen 287 times.
- PROOF of the formula on the number of Permutations in Permutations. Seen 306 times.
- Introduction to Permutations in Permutations. Seen 329 times.
- Proving inequalities by the method of Mathematical Induction in Sequences-and-series. Seen 503 times.
- Mathematical induction for sequences other than arithmetic or geometric in Sequences-and-series. Seen 271 times.
- REVIEW of lessons on geometric progressions in Sequences-and-series. Seen 193 times.
- One characteristic property of geometric progressions in Sequences-and-series. Seen 219 times.
- One characteristic property of arithmetic progressions in Sequences-and-series. Seen 205 times.
- Mathematical induction and geometric progressions in Sequences-and-series. Seen 365 times.
- Ordinary Annuity saving plans and geometric progressions in Sequences-and-series. Seen 293 times.
- Annuity Due saving plans and geometric progressions in Sequences-and-series. Seen 323 times.
- Word problems on geometric progressions in Sequences-and-series. Seen 532 times.
- Problems on geometric progressions in Sequences-and-series. Seen 1011 times.
- The proofs of the formulas for geometric progressions in Sequences-and-series. Seen 239 times.
- Geometric progressions in Sequences-and-series. Seen 382 times.
- REVIEW of lessons on arithmetic progressions in Sequences-and-series. Seen 245 times.
- Mathematical induction and arithmetic progressions in Sequences-and-series. Seen 435 times.
- Increments of a quadratic function form an arithmetic progression in Sequences-and-series. Seen 303 times.
- Uniformly accelerated motions and arithmetic progressions in Sequences-and-series. Seen 297 times.
- Free fall and arithmetic progressions in Sequences-and-series. Seen 299 times.
- Chocolate bars and arithmetic progressions in Sequences-and-series. Seen 284 times.
- Word problems on arithmetic progressions in Sequences-and-series. Seen 2067 times.
- Problems on arithmetic progressions in Sequences-and-series. Seen 677 times.
- The proofs of the formulas for arithmetic progressions in Sequences-and-series. Seen 417 times.
- Arithmetic progressions in Sequences-and-series. Seen 580 times.
- FORMULAS FOR TRIGONOMETRIC FUNCTIONS in Trigonometry-basics. Seen 1113 times.
- Miscellaneous Trigonometry problems in Trigonometry-basics. Seen 1293 times.
- Trigonometric functions of half argument - Examples in Trigonometry-basics. Seen 929 times.
- Trigonometric functions of half argument in Trigonometry-basics. Seen 790 times.
- Trigonometric functions of multiply argument - Examples in Trigonometry-basics. Seen 1635 times.
- Trigonometric functions of multiply argument in Trigonometry-basics. Seen 1632 times.
- Powers of trigonometric functions - Examples in Trigonometry-basics. Seen 2618 times.
- Powers of trigonometric functions in Trigonometry-basics. Seen 1166 times.
- Product of trigonometric functions - Examples in Trigonometry-basics. Seen 1015 times.
- Product of trigonometric functions in Trigonometry-basics. Seen 1399 times.
- Addition and subtraction of trigonometric functions - Examples in Trigonometry-basics. Seen 1974 times.
- Addition and subtraction of trigonometric functions in Trigonometry-basics. Seen 3173 times.
- Addition and subtraction formulas - Examples in Trigonometry-basics. Seen 4159 times.
- Addition and subtraction formulas in Trigonometry-basics. Seen 1398 times.
- REVIEW of lessons on complex numbers in Complex_Numbers. Seen 223 times.
- Solution of the quadratic equation with complex coefficients on complex domain in Complex_Numbers. Seen 7319 times.
- How to take a square root of a complex number in Complex_Numbers. Seen 4978 times.
- Solution of the quadratic equation with real coefficients on complex domain in Complex_Numbers. Seen 2558 times.
- How to take a root of a complex number in Complex_Numbers. Seen 2507 times.
- Raising a complex number to an integer power in Complex_Numbers. Seen 2499 times.
- Multiplication and division of complex numbers in complex plane in Complex_Numbers. Seen 4121 times.
- Addition and subtraction of complex numbers in complex plane in Complex_Numbers. Seen 2008 times.
- Complex plane in Complex_Numbers. Seen 2144 times.
- Complex numbers and arithmetical operations over them in Complex_Numbers. Seen 2334 times.
- Units conversion examples in Reduction-of-unit-multipliers. Seen 2618 times.
- Proof of the Law of Cosines revisited in Trigonometry-basics. Seen 1515 times.
- Solve triangles using Law of Sines in Trigonometry-basics. Seen 5217 times.
- Solve triangles using Law of Cosines in Trigonometry-basics. Seen 2262 times.
Geometry
- PROPERTIES OF RHOMBIS in Parallelograms. Seen 508 times.
- Diagonals of a rhombus bisect its angles in Parallelograms. Seen 5884 times.
- Diagonals of a rhombus are perpendicular in Parallelograms. Seen 2897 times.
- PROPERTIES OF PARALLELOGRAMS in Parallelograms. Seen 914 times.
- Consecutive angles of a parallelogram in Parallelograms. Seen 6301 times.
- Opposite angles of a parallelogram in Parallelograms. Seen 1836 times.
- Properties of diagonals of parallelograms in Parallelograms. Seen 1009 times.
- Properties of the sides of a parallelogram in Parallelograms. Seen 736 times.
- In a parallelogram, each diagonal divides it in two congruent triangles in Parallelograms. Seen 5545 times.
- PROPERTIES OF RIGHT TRIANGLES in Pythagorean-theorem. Seen 2202 times.
- More proofs of the Pythagorean Theorem in Pythagorean-theorem. Seen 1715 times.
- The Pythagorean Theorem in Pythagorean-theorem. Seen 1572 times.
- PROPERTIES OF TRIANGLES in Triangles. Seen 5925 times.
- Law of sines - the Geometric Proof in Triangles. Seen 1005 times.
- Law of sines in Triangles. Seen 1258 times.
- Medians of a triangle are concurrent in Triangles. Seen 5446 times.
- Altitudes of a triangle are concurrent in Triangles. Seen 3092 times.
- Angle bisectors of a triangle are concurrent in Triangles. Seen 6755 times.
- Perpendicular bisectors of a triangle sides are concurrent in Triangles. Seen 7853 times.
- How to bisect an angle using a compass and a ruler in Triangles. Seen 2806 times.
- How to bisect a segment using a compass and a ruler in Triangles. Seen 1954 times.
- An angle bisector properties in Triangles. Seen 4394 times.
- A perpendicular bisector of a segment in Triangles. Seen 5332 times.
- Angles and sides inequality theorems for triangles in Triangles. Seen 5340 times.
- The line segment joining the midpoints of two sides of a triangle in Triangles. Seen 13071 times.
- Properties of the sides of parallelograms in Triangles. Seen 1257 times.
- An altitude a median and an angle bisector in the isosceles triangle in Triangles. Seen 7185 times.
- Isosceles triangles in Triangles. Seen 2571 times.
- How to draw a congruent triangle using a compass and a ruler in Triangles. Seen 624 times.
- How to draw a parallel line passing through a given point using a compass and a ruler in Triangles. Seen 2394 times.
- Problems on congruence tests for triangles in Triangles. Seen 1554 times.
- How to draw a congruent segment and a congruent angle using a compass and a ruler in Triangles. Seen 4031 times.
- Congruence tests for triangles in Triangles. Seen 2589 times.
- Sum of the interior angles of a triangle in Triangles. Seen 4226 times.
- Parallel lines in Angles. Seen 2810 times.
- Vertical angles_ in Angles. Seen 1006 times.
- Angles basics in Angles. Seen 3012 times.
- Points and Straight Lines basics in Points-lines-and-rays. Seen 2179 times.
Word Problems
- Problem on pills in containers in Miscellaneous_Word_Problems. Seen 633 times.
- Problem on animals at a farm in Miscellaneous_Word_Problems. Seen 530 times.
- Problem on two-wheel and three-wheel bicycles in Miscellaneous_Word_Problems. Seen 644 times.
- HOW TO solve problems on squares in Geometry_Word_Problems. Seen 607 times.
- HOW TO solve problems on rectangles in Geometry_Word_Problems. Seen 1131 times.
- Angle bisector drawn to the hypotenuse of a right triangle in Geometry_Word_Problems. Seen 1880 times.
- Altitude drawn to the hypotenuse of a right triangle in Geometry_Word_Problems. Seen 4927 times.
- HOW TO solve problems on right triangles in Geometry_Word_Problems. Seen 1823 times.
- A circle inscribed in a rhombus in Geometry_Word_Problems. Seen 2316 times.
- The length of diagonals of a rhombus in Geometry_Word_Problems. Seen 5406 times.
- HOW TO solve problems on the rhombus sides and diagonals measures - Examples in Geometry_Word_Problems. Seen 4026 times.
- HOW TO solve problems on the angles of parallelograms - Examples in Geometry_Word_Problems. Seen 2805 times.
- HOW TO solve problems on the parallelogram sides measures - Examples in Geometry_Word_Problems. Seen 2160 times.
- HOW TO solve problems on the isosceles triangle sides measures - Examples in Geometry_Word_Problems. Seen 7560 times.
- HOW TO solve problems on the triangle sides measures - Examples in Geometry_Word_Problems. Seen 2896 times.
- HOW TO solve problems on the angles of isosceles triangles - Examples in Geometry_Word_Problems. Seen 2992 times.
- HOW TO solve problems on the angles of triangles - Examples in Geometry_Word_Problems. Seen 1311 times.
- HOW TO solve problems on parallel lines - Examples in Geometry_Word_Problems. Seen 1609 times.
- HOW TO solve problems on supplementary, complementary or vertical angles - Examples in Geometry_Word_Problems. Seen 4579 times.
- The length of diagonals of a parallelogram in Geometry_Word_Problems. Seen 7022 times.
- Midpoints of a quadrilateral are vertices of the parallelogram in Geometry_Word_Problems. Seen 2697 times.
- On what segments the angle bisector divides the side of a triangle in Geometry_Word_Problems. Seen 913 times.
- Median drawn to the hypotenuse of a right triangle in Geometry_Word_Problems. Seen 6383 times.
- The length of a median of a triangle in Geometry_Word_Problems. Seen 6202 times.
- Properties of diagonals of a parallelogram in Geometry_Word_Problems. Seen 2279 times.
- Angle bisectors in an isosceles triangle in Geometry_Word_Problems. Seen 4381 times.
- Medians in an isosceles triangle in Geometry_Word_Problems. Seen 5876 times.
- Altitudes in an isosceles triangle in Geometry_Word_Problems. Seen 3196 times.
- Problems on congruence tests for triangles-2 in Geometry_Word_Problems. Seen 1389 times.
- Logic problems - The answer to Problem 5 in Miscellaneous_Word_Problems. Seen 932 times.
- Logic problems - The solution to Problem 5 in Miscellaneous_Word_Problems. Seen 1108 times.
- Logic problems - The answer to Problem 4 in Miscellaneous_Word_Problems. Seen 844 times.
- Logic problems - The solution to Problem 4 in Miscellaneous_Word_Problems. Seen 912 times.
- Logic problems - The answer to Problem 3 in Miscellaneous_Word_Problems. Seen 1258 times.
- Logic problems - The solution to Problem 3 in Miscellaneous_Word_Problems. Seen 1105 times.
- Logic problems - The answer to Problem 2 in Miscellaneous_Word_Problems. Seen 1232 times.
- Logic problems - The solution to Problem 2 in Miscellaneous_Word_Problems. Seen 1418 times.
- Logic problems - The answer to Problem 1 in Miscellaneous_Word_Problems. Seen 1119 times.
- Logic problems - The solution to Problem 1 in Miscellaneous_Word_Problems. Seen 1342 times.
- Some logic problems in Miscellaneous_Word_Problems. Seen 2181 times.
- More Mixture problems in Mixture_Word_Problems. Seen 5054 times.
- Mixture problems in Mixture_Word_Problems. Seen 5834 times.
- Percentage word problems (Type 3 problems, Finding the Base) in Percentage-and-ratio-word-problems. Seen 16294 times.
- Percentage word problems (Type 2 problems, Finding the Rate) in Percentage-and-ratio-word-problems. Seen 8852 times.
- Percentage word problems (Type 1 problems, Finding the Part) in Percentage-and-ratio-word-problems. Seen 5947 times.
- Age problems and their solutions in Age_Word_Problems. Seen 20252 times.
- Problems with consecutive odd even integers in Problems-with-consecutive-odd-even-integers. Seen 4139 times.
- More Coin problems in Word_Problems_With_Coins. Seen 1562 times.
- Coin problems in Word_Problems_With_Coins. Seen 7025 times.
- Wind and Current problems solvable by quadratic equations in Travel_Word_Problems. Seen 2885 times.
- Wind and Current problems in Travel_Word_Problems. Seen 7506 times.
- Travel and Distance problems in Travel_Word_Problems. Seen 10659 times.
- Using Fractions to solve word problems of the type WORKING TOGETHER in Rate-of-work-word-problems. Seen 2327 times.
- Word problems on units conversion in Unit_Conversion_Word_Problems. Seen 2417 times.
These lessons were seen 613264 times.
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