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Preface | |

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Diagnostic Pretest | |

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Basic Concepts | |

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The Real Number System | |

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Operations with Real Numbers | |

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Powers, Square Roots, and the Order of Operations | |

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How Am I Doing? Sections 1.1-1.3 | |

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Integer Exponents and Scientific Notation | |

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Operations with Variables and Grouping Symbols | |

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Evaluating Variable Expressions and Formulas | |

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Use Math to Save Money | |

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Organizer | |

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Review Problems | |

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How Am I Doing? Chapter 1 Test | |

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Math Coach | |

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Linear Equations and Inequalities | |

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First-Degree Equations with One Unknown | |

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Literal Equations and Formulas | |

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Absolute Value Equations | |

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Using Equations to Solve Word Problems | |

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How Am I Doing? Sections 2.1-2.4 | |

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Solving More-Involved Word Problems | |

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Linear Inequalities | |

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Compound Inequalities | |

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Absolute Value Inequalities | |

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Use Math to Save Money | |

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Organizer | |

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Review Problems | |

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How Am I Doing? Chapter 2 Test | |

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Math Coach | |

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Equations and Inequalities in Two Variables and Functions | |

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Graphing Linear Equations with Two Unknowns | |

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Slope of a Line | |

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Graphs and the Equations of a Line | |

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How Am I Doing? Sections 3.1-3.3 | |

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Linear Inequalities in Two Variables | |

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Concept of a Function | |

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Graphing Functions from Equations and Tables of Data | |

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Use Math to Save Money | |

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Organizer | |

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Review Problems | |

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How Am I Doing? Chapter 3 Test | |

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Math Coach | |

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Cumulative Test for Chapters 1-3 | |

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Systems of Linear Equations and Inequalities | |

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Systems of Linear Equations in Two Variables | |

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Systems of Linear Equations in Three Variables | |

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How Am I Doing? Sections 4.1-4.2 | |

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Applications of Systems of Linear Equations | |

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Systems of Linear Inequalities | |

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Use Math to Save Money | |

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Organizer | |

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Review Problems | |

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How Am I Doing? Chapter 4 Test | |

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Math Coach | |

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Polynomials | |

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Introduction to Polynomials and Polynomial Functions: Adding, Subtracting, and Multiplying | |

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Dividing Polynomials | |

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Synthetic Division | |

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Removing Common Factors; Factoring by Grouping | |

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Factoring Trinomials | |

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How Am I Doing? Sections 5.1-5.5 | |

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Special Cases of Factoring | |

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Factoring a Polynomial Completely | |

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Solving Equations and Applications Using Polynomials | |

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Use Math to Save Money | |

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Organizer | |

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Review Problems | |

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How Am I Doing? Chapter 5 Test | |

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Math Coach | |

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Rational Expressions and Equations | |

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Rational Expressions and Functions: Simplifying, Multiplying, and Dividing | |

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Adding and Subtracting Rational Expressions | |

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Complex Rational Expressions | |

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How Am I Doing? Sections 6.1-6.3 | |

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Rational Equations | |

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Applications: Formulas and Advanced Ratio Exercises | |

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Use Math to Save Money | |

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Organizer | |

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Review Problems | |

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How Am I Doing? Chapter 6 Test | |

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Math Coach | |

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Cumulative Test for Chapters 1-6 | |

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Rational Exponents and Radicals | |

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Rational Exponents | |

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Radical Expressions and Functions | |

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Simplifying, Adding, and Subtracting Radicals | |

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Multiplying and Dividing Radicals | |

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How Am I Doing? Sections 7.1-7.4 | |

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Radical Equations | |

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Complex Numbers | |

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Variation | |

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Use Math to Save Money | |

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Organizer | |

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Review Problems | |

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How Am I Doing? Chapter 7 Test | |

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Math Coach | |

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Quadratic Equations and Inequalities | |

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Quadratic Equations | |

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The Quadratic Formula and Solutions to Quadratic Equations | |

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Equations That Can Be Transformed into Quadratic Form | |

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How Am I Doing? Sections 8.1-8.3 | |

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Formulas and Applications | |

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Quadratic Functions | |

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Quadratic Inequalities in One Variable | |

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Use Math to Save Money | |

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Organizer | |

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Review Problems | |

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How Am I Doing? Chapter 8 Test | |

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Math Coach | |

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The Conic Sections | |

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The Distance Formula and the Circle | |

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The Parabola | |

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The Ellipse | |

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How Am I Doing? Sections 9.1-9.3 | |

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The Hyperbola | |

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Nonlinear Systems of Equations | |

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Use Math to Save Money | |

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Organizer | |

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Review Problems | |

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How Am I Doing? Chapter 9 Test | |

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Math Coach | |

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Additional Properties of Functions | |

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Function Notation | |

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General Graphing Procedures for Functions | |

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How Am I Doing? Sections 10.1-10.2 | |

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Algebraic Operations on Functions | |

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Inverse of a Function | |

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Use Math to Save Money | |

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Organizer | |

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Review Problems | |

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How Am I Doing? Chapter 10 Test | |

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Math Coach | |

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Logarithmic and Exponential Functions | |

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The Exponential Function | |

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The Logarithmic Function | |

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Properties of Logarithms | |

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How Am I Doing? Sections 11.1-11.3 | |

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

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Exponential and Logarithmic Equations | |

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Use Math to Save Money | |

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Organizer | |

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Review Problems | |

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How Am I Doing? Chapter 11 Test | |

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Math Coach | |

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Practice Final Examination | |

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Tables | |

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Table of Square Roots | |

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Table of Exponential Values | |

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Determinants and Cramer's Rule | |

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Solving Systems of Linear Equations Using Matrices | |

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Solutions to Practice Problems | |

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Answers to Selected Exercises | |

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Glossary | |

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Applications Index (Available in MyMathLab) | |

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Index | |

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Photo Credits | |