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Real Numbers and Algebra | |
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Describing Data with Sets of Numbers | |
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Operations on Real Numbers | |
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Integer Exponents | |
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Variables, Equations, and Formulas | |
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Introduction to Graphing | |
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Linear Functions and Models | |
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Functions and Their Representations | |
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Linear Functions | |
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The Slope of a Line | |
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Equations of Lines and Linear Models | |
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Linear Equations and Inequalities | |
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Linear Equations | |
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Introduction to Problem Solving | |
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Linear Inequalities | |
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Compound Inequalities | |
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Absolute Value Equations and Inequalities | |
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Systems of Linear Equations | |
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Systems of Linear Equations in Two Variables | |
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The Substitution and Elimination Methods | |
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Systems of Linear Inequalities | |
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Introduction to Linear Programming | |
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Systems of Linear Equations in Three Variables | |
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Matrix Solutions of Linear Systems | |
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Determinants | |
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Polynomial Expressions and Functions | |
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Polynomial Functions | |
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Multiplication of Polynomials | |
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Factoring Polynomials | |
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Factoring Trinomials | |
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Special Types of Factoring | |
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Summary of Factoring | |
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Polynomial Equations | |
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Rational Expressions and Functions | |
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Introduction to Rational Functions and Equations | |
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Multiplication and Division of Rational Expressions | |
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Addition and Subtraction of Rational Expressions | |
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Rational Equations | |
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Complex Fractions | |
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Modeling with Proportions and Variation | |
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Division of Polynomials | |
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Radical Expressions and Functions | |
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Radical Expressions and Rational Exponents | |
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Simplifying Radical Expressions | |
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Operations on Radical Expressions | |
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Radical Functions | |
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Equations Involving Radical Expressions | |
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Complex Numbers | |
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Quadratic Functions and Equations | |
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Quadratic Functions and Their Graphs | |
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Parabolas and Modeling | |
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Quadratic Equations | |
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The Quadratic Formula | |
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Quadratic Inequalities | |
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Equations in Quadratic Form | |
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Exponential and Logarithmic Functions | |
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Composite and Inverse Functions | |
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Exponential Functions | |
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Logarithmic Functions | |
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Properties of Logarithms | |
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Exponential and Logarithmic Equations | |
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Conic Sections | |
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Parabolas and Circles | |
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Ellipses and Hyperbolas | |
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Nonlinear Systems of Equations and Inequalities | |
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Sequences and Series | |
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Sequences | |
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Arithmetic and Geometric Sequences | |
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Series | |
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The Binomial Theorem | |
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Appendix: Using the Graphing Calculator | |
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Answers to Selected Exercises | |
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Glossary | |
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Bibliography | |
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Photo Credits | |
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Index of Applications | |
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Index | |