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| The Real Number System | |
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| Real Numbers: Order and Absolute Value | |
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| Adding and Subtracting Integers | |
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| Multiplying and Dividing Integers | |
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| Operations with Rational Numbers | |
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| Exponents, Order of Operations, and Properties of Real Numbers | |
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| Fundamentals of Algebra | |
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| Writing and Evaluating Algebraic Expressions | |
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| Simplifying Algebraic Expressions | |
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| Algebra and Problem Solving | |
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| Introduction to Equations | |
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| Linear Equations and Problem Solving | |
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| Solving Linear Equations | |
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| Equations That Reduce to Linear Form | |
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| Problem Solving with Percents | |
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| Ratios and Proportions | |
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| Geometric and Scientific Applications | |
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| Linear Inequalities | |
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| Equations and Inequalities in Two Variables | |
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| Ordered Pairs and Graphs | |
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| Graphs of Equations in Two Variables | |
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| Slope and Graphs of Linear Equations | |
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| Equations of Lines | |
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| Graphs of Linear Inequalities | |
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| Exponents and Polynomials | |
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| Negative Exponents and Scientific Notation | |
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| Adding and Subtracting Polynomials | |
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| Multiplying Polynomials: Special Products | |
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| Dividing Polynomials | |
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| Factoring and Solving Equations | |
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| Factoring Polynomials with Common Factors | |
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| Factoring Trinomials | |
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| More About Factoring Trinomials | |
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| Factoring Polynomials with Special Forms | |
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| Solving Quadratic Equations by Factoring | |
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| Rational Expressions and Equations | |
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| Simplifying Rational Expressions | |
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| Multiplying and Dividing Rational Expressions | |
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| Adding and Subtracting Rational Expressions | |
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| Complex Fractions | |
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| Rational Equations and Applications | |
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| Systems of Equations and Inequalities | |
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| Solving Systems of Equations by Graphing | |
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| Solving Systems of Equations by Substitution | |
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| Solving Systems of Equations by Elimination | |
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| Applications of Systems of Linear Equations | |
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| Systems of Linear Inequalities | |
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| Radical Expression and Equations | |
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| Roots and Radicals | |
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| Simplifying Radicals | |
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| Operations with Radical Expressions | |
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| Radical Equations and Applications | |
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| Quadratic Equations and Functions | |
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| Solution by the Square Root Property | |
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| Solution by Completing the Square | |
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| Solutin by the Quadratic Formula | |
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| Graphing Quadratic Functins | |
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| Applications of Quadratic Equations | |
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| Complex Numbers | |
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| Relations, Functions, and Graphs | |