document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146046>Question 146046</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Choose two words or phrases from each module, write the definitions of the two words and give examples.\r<BR>\n" );
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document.write( "((((Module 1)))) <BR>\n" );
document.write( "1. The Symmetric Property of Equality <BR>\n" );
document.write( "2. Vertical Line Rule <BR>\n" );
document.write( "3. The Commutative Property of Addition <BR>\n" );
document.write( "4. The Reflexive Property of Equality <BR>\n" );
document.write( "5. Slope-Intercept form of a Linear Equation <BR>\n" );
document.write( "6. The Commutative Property of Multiplication <BR>\n" );
document.write( "7. Order of Operations <BR>\n" );
document.write( "8. Point-Slope form of a Linear Equation <BR>\n" );
document.write( "9. The Associative Property of Addition <BR>\n" );
document.write( "10. <=, >=, <, > <BR>\n" );
document.write( "11. y-coordinate <BR>\n" );
document.write( "12. The Associative Property of Multiplication <BR>\n" );
document.write( "12. Combined Inequality <BR>\n" );
document.write( "14. x-coordinate <BR>\n" );
document.write( "15. The Identity Property of Addition <BR>\n" );
document.write( "16. Relation<BR>\n" );
document.write( "17. x-intercept <BR>\n" );
document.write( "18. The Identity Property of Multiplication<BR>\n" );
document.write( "19. Function<BR>\n" );
document.write( "20. y-intercept <BR>\n" );
document.write( "21. The Inverse Property of Addition (Additive Inverse) <BR>\n" );
document.write( "22. Direct variation <BR>\n" );
document.write( "23. Parallel Slope <BR>\n" );
document.write( "24. The Inverse Property of Multiplication (Multiplicative Inverse)  <BR>\n" );
document.write( "25. Inverse Variation<BR>\n" );
document.write( "26. Perpendicular Slope <BR>\n" );
document.write( "27. The Transitive Property of Equality <BR>\n" );
document.write( "28. Joint Variation <BR>\n" );
document.write( "29. Cartesian Coordinate System \r<BR>\n" );
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document.write( "(((((Module 2))))<BR>\n" );
document.write( "1. Factoring <BR>\n" );
document.write( "2. Term <BR>\n" );
document.write( "3. Greatest Common Factor <BR>\n" );
document.write( "4. Like Terms <BR>\n" );
document.write( "5. Difference of Squares <BR>\n" );
document.write( "6. Constant <BR>\n" );
document.write( "7. Sum of Squares <BR>\n" );
document.write( "8. Degree of a Polynomial <BR>\n" );
document.write( "9. Perfect Square Trinomial <BR>\n" );
document.write( "10. Polynomial <BR>\n" );
document.write( "11. Difference of Cubes <BR>\n" );
document.write( "12. Monomial <BR>\n" );
document.write( "13. Sum of Cubes <BR>\n" );
document.write( "14. Binomial <BR>\n" );
document.write( "15. Factor by Grouping <BR>\n" );
document.write( "16. Trinomial <BR>\n" );
document.write( "17. Quadratic Equation <BR>\n" );
document.write( "18. Synthetic <BR>\n" );
document.write( "19. Division Pure Quadratic Equation \r<BR>\n" );
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document.write( "Module 3 <BR>\n" );
document.write( "Axis of Symmetry <BR>\n" );
document.write( "Perfect Square Root Discriminate <BR>\n" );
document.write( "Perfect Cube Root Complete the Square <BR>\n" );
document.write( "Prime Number Rational Numbers <BR>\n" );
document.write( "Simplify a Radical Irrational Numbers <BR>\n" );
document.write( "Rationalize a Denominator Complex Numbers <BR>\n" );
document.write( "Quadratic Formula Imaginary Number <BR>\n" );
document.write( "Conjugate Value of i2 <BR>\n" );
document.write( "Parabola   <BR>\n" );
document.write( "Vertex of a Parabola   \r<BR>\n" );
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document.write( "Module 4 Matrix <BR>\n" );
document.write( "Systems of Equations Element of a Matrix <BR>\n" );
document.write( "Solving Systems Graphically Dimensions of a Matrix <BR>\n" );
document.write( "Solving Systems Algebraically Column Matrix <BR>\n" );
document.write( "Solving Systems by Substitution Row Matrix <BR>\n" );
document.write( "Solving Systems by Addition Square Matrix <BR>\n" );
document.write( "Least Common Multiple Scalar Multiplication <BR>\n" );
document.write( "Systems of Inequalities Identity Matrix <BR>\n" );
document.write( "Slope of a Line (m) Inverse Matrix <BR>\n" );
document.write( "y-intercept of a line (b) Solving Systems by the Inverse Matrix Method \r<BR>\n" );
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document.write( "Module 5 Minor Axis of an Ellipse <BR>\n" );
document.write( "Conic Section Foci of an Ellipse <BR>\n" );
document.write( "Circle Equation of a Parabola (General Form) <BR>\n" );
document.write( "Equation of a circle (General Form) Focus of a Parabola <BR>\n" );
document.write( "Radius of a Circle Directrix of a Parabola <BR>\n" );
document.write( "Center of a Circle Hyperbola <BR>\n" );
document.write( "SOHCAHTOA Transverse Axis of a Hyperbola <BR>\n" );
document.write( "Pythagorean Formula Conjugate Axis of a Hyperbola <BR>\n" );
document.write( "Ellipse Foci of a Hyperbola <BR>\n" );
document.write( "Equation of an Ellipse (General Form) Aphelion <BR>\n" );
document.write( "Major Axis of an Ellipse Perihelion \r<BR>\n" );
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document.write( "Module 6 Extraneous Root <BR>\n" );
document.write( "Rational Expression Remainder <BR>\n" );
document.write( "Restrictions on the Domain of a Rational Expression Intermediate Value Theorem <BR>\n" );
document.write( "Multiplying Rational Expressions Fundamental Theorem of Algebra <BR>\n" );
document.write( "Dividing Rational Expressions Descartes' Rule of Signs <BR>\n" );
document.write( "Reciprocal of a Rational Expression Even Function <BR>\n" );
document.write( "Complex Fraction Odd Function <BR>\n" );
document.write( "Least Common Denominator Increasing Interval <BR>\n" );
document.write( "Adding Rational Expressions Decreasing Interval <BR>\n" );
document.write( "Vertical Asymptote Domain <BR>\n" );
document.write( "Hole Range <BR>\n" );
document.write( "Horizontal Asymptote Upper & Lower Bounds \r<BR>\n" );
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document.write( "Module 7 Antilog <BR>\n" );
document.write( "Radical Form of an Expression Antiln (ex) <BR>\n" );
document.write( "Logarithmic Form of an Expression Product Property of Logarithms <BR>\n" );
document.write( "Exponential Notation Quotient Property of Logarithms <BR>\n" );
document.write( "Natural Log (ln) Power Property of Logarithms <BR>\n" );
document.write( "Base of a Logarithm   \r<BR>\n" );
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document.write( "Module 8 Permutations<BR>\n" );
document.write( " Median<BR>\n" );
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document.write( "Sequence<BR>\n" );
document.write( " Factorial<BR>\n" );
document.write( " Mode<BR>\n" );
document.write( " <BR>\n" );
document.write( "Arithmetic Sequence & Formula<BR>\n" );
document.write( " Combinations & Formula<BR>\n" );
document.write( " Quartile<BR>\n" );
document.write( " <BR>\n" );
document.write( "Series<BR>\n" );
document.write( " Probability<BR>\n" );
document.write( " Deviation<BR>\n" );
document.write( " <BR>\n" );
document.write( "Arithmetic Series & Formula<BR>\n" );
document.write( " Experimental Probability<BR>\n" );
document.write( " Standard Deviation<BR>\n" );
document.write( " <BR>\n" );
document.write( "Summation & Notation<BR>\n" );
document.write( " Theoretical Probability<BR>\n" );
document.write( " Variance<BR>\n" );
document.write( " <BR>\n" );
document.write( "Geometric Sequence & Formula<BR>\n" );
document.write( " Random Sample<BR>\n" );
document.write( " Measures of Central Tendency<BR>\n" );
document.write( " <BR>\n" );
document.write( "Common Ratio<BR>\n" );
document.write( " Stratified Sample<BR>\n" );
document.write( " Box & Whisker Plot<BR>\n" );
document.write( " <BR>\n" );
document.write( "Geometric Series & Formula<BR>\n" );
document.write( " Statistics<BR>\n" );
document.write( " Histogram<BR>\n" );
document.write( " <BR>\n" );
document.write( "Fundamental Counting Principle<BR>\n" );
document.write( " Mean<BR>\n" );
document.write( " Stem & Leaf Plot<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #106650 by </B><A HREF=/tutors/aboutme.mpl?userid=nabla><B>nabla(475)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nabla><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=106650\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I will do the first few modules for you here. Try doing some on your own via these examples and post the remaining modules if you still require help.\r<BR>\n" );
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document.write( "Module 1:<BR>\n" );
document.write( "10. <=, >=, <, > <BR>\n" );
document.write( "This is commonly used notation to make statements about the relative size or order of two quantities or objects. <BR>\n" );
document.write( "\"a<=b\" means that a is less than or equal to b.<BR>\n" );
document.write( "\"a>=b\" means that a is greater than or equal to b.<BR>\n" );
document.write( "\"a _<_ b\" means that a is strictly less than b. (Take out the _--- issue with this site)<BR>\n" );
document.write( "\"a>b\" means that a is strictly greater than b.\r<BR>\n" );
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document.write( "Further example:<BR>\n" );
document.write( "(2n)(n-1)! for n>=1 can be proven easily by mathematical induction.\r<BR>\n" );
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document.write( "19. function<BR>\n" );
document.write( "\"The mathematical concept of a function expresses dependence between two quantities, one of which is given (the independent variable, argument of the function, or its \"input\") and the other produced (the dependent variable, value of the function, or \"output\"). A function associates a single output to each input element drawn from a fixed set, such as the real numbers.\" (Wikipedia)\r<BR>\n" );
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document.write( "Example:<BR>\n" );
document.write( "f(x)=e^(x)sin(x)\r<BR>\n" );
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document.write( "Module 2.<BR>\n" );
document.write( "5. difference of squares<BR>\n" );
document.write( "These terms define themselves: a difference of squares is a difference of squared terms. Consider:<BR>\n" );
document.write( "a^2-b^2<BR>\n" );
document.write( "This is factored easily as a^2-b^2=(a-b)(a+b) because the non-square term is nonexistent (it is canceled).\r<BR>\n" );
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document.write( "15. factor by grouping<BR>\n" );
document.write( "This phrase refers to a process of grouping terms in order to factor generally higher degreed polynomials than quadratics. Simply, determine if two pairs of terms have something the same in common. If they do, they can be factored out.<BR>\n" );
document.write( "Example:<BR>\n" );
document.write( "x^3-3x^2+x-3=x^3+x-3x^2-3=x(x^2+1)-3(x^2+1)=(x-3)(x^2+1) </SPAN>\n" );
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