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| Introduction to Algebraic Expressions | |
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| Introduction to Algebra | |
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| The Commutative, Associative, and Distributive Laws | |
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| Fraction Notation | |
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| Positive and Negative Real Numbers | |
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| Subtraction of Real Numbers | |
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| Multiplication and Division of Real Numbers | |
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| Equations, Inequalities, and Problem Solving | |
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| Solving Equations | |
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| Using the Principles Together | |
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| Formulas | |
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| Applications with Percent | |
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| Problem Solving | |
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| Solving Inequalities | |
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| Solving Applications with Inequalities | |
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| Introduction to Graphing | |
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| Reading Graphs, Plotting Points, and Scaling Graphs | |
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| Graphing Linear Equations | |
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| Graphing and Intercepts | |
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| Rates | |
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| Slope | |
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| Slope-Intercept Form | |
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| Point-Slope Form | |
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| Polynomials | |
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| Exponents and Their Properties | |
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| Polynomials | |
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| Addition and Subtraction of Polynomials | |
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| Multiplication of Polynomials | |
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| Special Products | |
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| Polynomials in Several Variables | |
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| Division of Polynomials | |
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| Negative Exponents and Scientific Notation | |
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| Polynomials and Factoring | |
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| Introduction to Factoring | |
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| Factoring Trinomials of the Type x2 + bx + c | |
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| Factoring Trinomials of the Type ax2 + bx + c | |
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| Factoring Perfect-Square Trinomials and Differences of Squares | |
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| Factoring: A General Strategy | |
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| Solving Quadratic Equations by Factoring | |
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| Solving Applications | |
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| Rational Expressions and Equations | |
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| Rational Expressions | |
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| Multiplication and Division | |
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| Addition, Subtraction, and Least Common Denominators | |
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| Addition and Subtraction with Unlike Denominators | |
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| Complex Rational Expressions | |
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| Solving Rational Equations | |
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| Applications Using Rational Equations and Proportions | |
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| Systems and More Graphing | |
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| Systems of Equations and Graphing | |
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| Systems of Equations and Substitution | |
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| Systems of Equations and Elimination | |
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| More Applications Using Systems | |
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| Linear Inequalities in Two Variables | |
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| Systems of Linear Inequalities | |
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| Direct and Inverse Variation | |
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| Radical Expressions and Equations | |
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| Introduction to Square Roots and Radical Expressions | |
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| Multiplying and Simplifying Radical Expressions | |
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| Quotients Involving Square Roots | |
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| Radical Expressions with Several Terms | |
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| Radical Equations | |
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| Applications Using Right Triangles | |
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| Higher Roots and Rational Exponents | |
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| Quadratic Equations | |
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| Solving Quadratic Equations: The Principle of Square Roots | |
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| Solving Quadratic Equations: Completing the Square | |
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| The Quadratic Equation and Applications | |
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| Formulas | |
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| Complex Numbers as Solutions of Quadratic Equations | |
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| Graphs of Quadratic Equations | |
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| Functions | |