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Tools to Help Students Succeed | |

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Additional Resources to Help You Succeed | |

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Preface | |

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Applications Index | |

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Real Numbers and Algebraic Expressions | |

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Tips for Success in Mathematics | |

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Algebraic Expressions and Sets of Numbers | |

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Equations, Inequalities, and Properties of Real Numbers | |

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Operations on Real Numbers | |

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Integrated Review-Real Numbers | |

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Order of Operations and Algebraic Expressions | |

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Exponents and Scientific Notation | |

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More Work with Exponents and Scientific Notation | |

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Chapter 1 Group Activity: Geometry Investigations | |

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Chapter 1 Vocabulary Check | |

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Chapter 1 Highlights | |

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Chapter 1 Review | |

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Chapter 1 Test | |

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Equations, Inequalities, and Problem Solving | |

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Linear Equations in One Variable | |

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An Introduction to Problem Solving | |

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Formulas and Problem Solving | |

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Linear Inequalities and Problem Solving | |

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Integrated Review-Linear Equations and Inequalities | |

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Sets and Compound Inequalities | |

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Absolute Value Equations and Inequalities | |

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Chapter 2 Group Activity: Nutrition Labels | |

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Chapter 2 Vocabulary Check | |

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Chapter 2 Highlights | |

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Chapter 2 Review | |

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Chapter 2 Test | |

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Cumulative Review | |

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Graphs and Functions | |

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Graphing Linear Equations | |

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The Slope of a Line | |

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The Slope-Intercept Form | |

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More Equations of Lines | |

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Integrated Review-Linear Equations in Two Variables | |

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Graphing Linear Inequalities | |

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Introduction to Functions | |

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Finding Domains and Ranges from Graphs and Graphing Piecewise-Defined Functions | |

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Shifting and Reflecting Graphs of Functions | |

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Chapter 3 Group Activity: Linear Modeling | |

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Chapter 3 Vocabulary Check | |

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Chapter 3 Highlights | |

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Chapter 3 Review | |

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Chapter 3 Test | |

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Cumulative Review | |

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Systems of Equations and Inequalities | |

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Solving Systems of Linear Equations in Two Variables | |

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Solving Systems of Linear Equations in Three Variables | |

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Systems of Linear Equations and Problem Solving | |

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Integrated Review-Systems of Linear Equations | |

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Solving Systems of Equations Using Matrices | |

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Systems of Linear Inequalities | |

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Chapter 4 Group Activity: Another Mathematical Model | |

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Chapter 4 Vocabulary Check | |

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Chapter 4 Highlights | |

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Chapter 4 Review | |

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Chapter 4 Test | |

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Cumulative Review | |

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Polynomials and Polynomial Functions | |

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Polynomial Functions and Adding and Subtracting Polynomials | |

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Multiplying Polynomials | |

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Dividing Polynomials and Synthetic Division | |

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The Greatest Common Factor and Factoring by Grouping | |

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Factoring Trinomials | |

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Factoring by Special Products | |

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Integrated Review-Operations on Polynomials and Factoring Strategies | |

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Solving Equations by Factoring and Solving Problems | |

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Chapter 5 Group Activity: Finding the Largest Area | |

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Chapter 5 Vocabulary Check | |

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Chapter 5 Highlights | |

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Chapter 5 Review | |

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Chapter 5 Test | |

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Cumulative Review | |

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Rational Expressions | |

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Rational Functions and Multiplying and Dividing Rational Expressions | |

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Adding and Subtracting Rational Expressions | |

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Simplifying Complex Fractions | |

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Solving Equations Containing Rational Expressions | |

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Integrated Review-Expressions and Equations Containing Rational Expressions | |

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Rational Equations and Problem Solving | |

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Variation and Problem Solving | |

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Chapter 6 Group Activity: Fastest-Growing Occupations | |

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Chapter 6 Vocabulary Check | |

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Chapter 6 Highlights | |

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Chapter 6 Review | |

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Chapter 6 Test | |

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Cumulative Review | |

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Rational Exponents, Radicals, and Complex Numbers | |

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Radical Expressions and Radical Functions | |

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Rational Exponents | |

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Simplifying Radical Expressions | |

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Adding, Subtracting, and Multiplying Radical Expressions | |

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Rationalizing Numerators and Denominators of Radical Expressions | |

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Integrated Review-Radicals and Rational Exponents | |

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Radical Equations and Problem Solving | |

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Complex Numbers | |

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Chapter 7 Group Activity: Heron of Alexandria | |

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Chapter 7 Vocabulary Check | |

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Chapter 7 Highlights | |

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Chapter 7 Review | |

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Chapter 7 Test | |

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Cumulative Review | |

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Quadratic Equations and Functions | |

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Solving Quadratic Equations by Completing the Square | |

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Solving Quadratic Equations by Using the Quadratic Formula | |

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Solving Equations by Using Quadratic Methods | |

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Integrated Review-Summary on Solving Quadratic Equations | |

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Nonlinear Inequalities in One Variable | |

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Quadratic Functions and Their Graphs | |

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Further Graphing of Quadratic Functions | |

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Chapter 8 Group Activity: Recognizing Linear and Quadratic Models | |

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Chapter 8 Vocabulary Check | |

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Chapter 8 Highlights | |

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Chapter 8 Review | |

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Chapter 8 Test | |

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Cumulative Review | |

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Exponential and Logarithmic Functions | |

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The Algebra of Functions | |

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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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Integrated Review-Functions and Properties of Logarithms | |

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Common Logarithms, Natural Logarithms, and Change of Base | |

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Exponential and Logarithmic Equations and Problem Solving | |

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Chapter 9 Group Activity: Sound Intensity | |

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Chapter 9 Vocabulary Check | |

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Chapter 9 Highlights | |

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Chapter 9 Review | |

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Chapter 9 Test | |

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Cumulative Review | |

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Conic Sections | |

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The Parabola and the Circle | |

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The Ellipse and the Hyperbola | |

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Integrated Review-Graphing Conic Sections | |

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Solving Nonlinear Systems of Equations | |

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Nonlinear Inequalities and Systems of Inequalities | |

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Chapter 10 Group Activity: Modeling Conic Sections | |

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Chapter 10 Vocabulary Check | |

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Chapter 10 Highlights | |

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Chapter 10 Review | |

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Chapter 10 Test | |

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Cumulative Review | |

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Fractions | |

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Solving Systems of Equations Using Determinants | |

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The Bigger Picture | |

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An Introduction to Using a Graphing Utility | |

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Stretching and Compressing Graphs of Absolute Value Functions | |

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Review of Angles, Lines, and Special Triangles | |

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Answers to Selected Exercises | |

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Solutions to Selected Exercises | |

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Index | |

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Photo Credits | |