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To the student preface | |

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Real Numbers and Their Properties | |

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The Real Numbers | |

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Fractions | |

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Addition and Subtraction of Real Numbers | |

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Multiplication and Division of Real Numbers | |

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Exponential Expressions and the Order of Operations | |

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Algebraic Expressions | |

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Properties of the Real Numbers | |

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Using the Properties to Simplify Expressions | |

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Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |

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Test • Critical Thinking | |

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Linear Equations and Inequalities in One Variable | |

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The Addition and Multiplication Properties of Equality | |

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Solving General Linear Equations | |

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More Equations | |

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Formulas | |

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Translating Verbal Expressions into Algebraic Expressions | |

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Number, Geometric, and Uniform Motion Applications | |

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Discount, Investment, and Mixture Applications | |

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Inequalities | |

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Solving Inequalities and Applications | |

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Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |

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Test • Making Connections | |

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A review of Chapters 1-2 • Critical Thinking | |

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Linear Equations and Inequalities in Two Variables | |

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Graphing Lines in the Coordinate Plane | |

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Slope | |

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Equations of Lines in Slope-Intercept Form | |

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The Point-Slope Form | |

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Variations | |

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Graphing Linear Inequalities in Two Variables | |

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Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |

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Test • Making Connections | |

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a review of Chapters 1-3 • Critical Thinking | |

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Exponents and Polynomials | |

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The Rules of Exponents | |

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Negative Exponents and Scientific Notation | |

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Addition and Subtraction of Polynomials | |

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Multiplication of Polynomials | |

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Multiplication of Binomials | |

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Special Products | |

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Division of Polynomials | |

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Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |

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Test • Making Connections | |

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a review of Chapters 1-4 • Critical Thinking | |

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Factoring | |

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Factoring Out Common Factors | |

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Special Products and Grouping | |

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Factoring the Trinomial axï¿½ + bx + c with a = 1 | |

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Factoring the Trinomial axï¿½ + bx + c with a ï¿½ 1 | |

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The Factoring Strategy | |

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Solving Quadratic Equations by Factoring | |

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Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |

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Test • Making Connections | |

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a review of Chapters 1-5 • Critical Thinking | |

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Rational Expressions | |

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Reducing Rational Expressions | |

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Multiplication and Division | |

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Finding the Least Common Denominator | |

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Addition and Subtraction | |

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Complex Fractions | |

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Solving Equations with Rational Expressions | |

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Applications of Ratios and Proportions | |

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Applications of Rational Expressions | |

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Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |

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Test • Making Connections | |

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a review of Chapters 1-6 • Critical Thinking | |

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Systems of Linear Equations | |

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Solving Systems by Graphing and Substitution | |

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The Addition Method | |

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Systems of Linear Equations in Three Variables | |

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Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |

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Test • Making Connections | |

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a review of Chapters 1-7 • Critical Thinking | |

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More on Inequalities | |

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Compound Inequalities in One Variable | |

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Absolute Value Equations and Inequalities | |

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Compound Inequalities in Two Variables | |

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Linear Programming | |

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Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |

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Test • Making Connections | |

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a review of Chapters 1-8 • Critical Thinking | |

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Radicals and Rational Exponents | |

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Radicals | |

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Rational Exponents | |

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Adding, Subtracting, and Multiplying Radicals | |

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Quotients, Powers, and Rationalizing Denominators | |

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Solving Equations with Radicals and Exponents | |

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Complex Numbers | |

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Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |

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Test • Making Connections | |

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a review of Chapters 1-9 • Critical Thinking | |

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Quadratic Equations and Inequalities | |

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Factoring and Completing the Square | |

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The Quadratic Formula | |

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More on Quadratic Equations | |

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Graphing Parabolas | |

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Quadratic and Rational Inequalities | |

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Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |

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Test • Making Connections | |

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a review of Chapters 1-10 • Critical Thinking | |

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Functions | |

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Functions and Relations | |

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Graphs of Functions and Relations | |

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Transformations of Graphs | |

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Graphs of Polynomial Functions | |

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Graphs of Rational Functions | |

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Combining Functions | |

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Inverse Functions | |

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Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |

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Test • Making Connections | |

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a review of Chapters 1-11 • Critical Thinking | |

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Exponential and Logarithmic Functions | |

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Exponential Functions and Their Applications | |

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Logarithmic Functions and Their Applications | |

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Properties of Logarithms | |

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Solving Equations and Applications | |

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Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |

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Test • Making Connections | |

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a review of Chapters 1-12 • Critical Thinking | |

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Nonlinear Systems and the Conic Sections | |

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Nonlinear Systems of Equations | |

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The Parabola | |

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The Circle | |

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The Ellipse and Hyperbola | |

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Second-Degree Inequalities | |

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Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |

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Test • Making Connections | |

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a review of Chapters 1-13 • Critical Thinking | |

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Sequences and Series | |

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Sequences | |

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Series | |

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Arithmetic Sequences and Series | |

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Geometric Sequences and Series | |

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Binomial Expansions | |

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Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |

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Test • Making Connections | |

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A Review of Chapter 1-14 • Critical Thinking | |

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Geometry Review Exercises | |

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Sets | |

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Chapters 1-6 Diagnostic Test | |

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Chapters 1-6 Review Answers to | |

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Selected Exercises | |

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Index | |