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Preface | |

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Index of Applications | |

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Review of Real Numbers | |

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Tips for Success in Mathematics | |

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Symbols and Sets of Numbers | |

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Fractions | |

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Introduction to Variable Expressions and Equations | |

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Adding Real Numbers | |

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Subtracting Real Numbers | |

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Multiplying and Dividing Real Numbers | |

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Properties of Real Numbers | |

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Reading Graphs | |

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Chapter 1 Project: Creating and Interpreting Graphs | |

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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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Simplifying Algebraic Expressions | |

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The Addition and Multiplication Properties of Equality | |

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Solving Linear Equations | |

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An Introduction to Problem Solving | |

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Formulas and Problem Solving | |

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Percent and Problem Solving | |

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Solving Linear Inequalities | |

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Chapter 2 Project: Developing a Budget | |

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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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Chapter 2 Cumulative Review | |

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Graphs and Functions | |

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The Rectangular Coordinate System | |

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Graphing Equations | |

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Introduction to Functions | |

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Graphing Linear Functions | |

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The Slope of a Line | |

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Equations of Lines | |

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Graphing Linear Inequalities | |

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Chapter 3 Project: Modeling Real Data | |

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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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Chapter 3 Cumulative Review | |

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Solving Systems of Linear Equations | |

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Solving Systems of Linear Equations by Graphing | |

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Solving Systems of Linear Equations by Substitution | |

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Solving Systems of Linear Equations by Addition | |

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Systems of Linear Equations and Problem Solving | |

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Chapter 4 Project: Analyzing the Courses of Ships | |

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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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Chapter 4 Cumulative Review | |

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Exponents and Polynomials | |

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Exponents | |

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Negative Exponents and Scientific Notation | |

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Polynomial Functions and Adding and Subtracting Polynomials | |

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Multiplying Polynomials | |

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Special Products | |

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Dividing Polynomials | |

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Synthetic Division and the Remainder Theorem | |

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Chapter 5 Project: Modeling with Polynomials | |

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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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Chapter 5 Cumulative Review | |

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Factoring Polynomials | |

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The Greatest Common Factor and Factoring by Grouping | |

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Factoring Trinomials of the Form x[subscript 2] + bx + c | |

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Factoring Trinomials of the Form ax[subscript 2] + bx + c | |

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Factoring Binomials | |

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Choosing a Factoring Strategy | |

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Solving Quadratic Equations by Factoring | |

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Quadratic Equations and Problem Solving | |

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An Introduction to Graphing Polynomial Functions | |

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Chapter 6 Project: Choosing Among Building Options | |

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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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Chapter 6 Cumulative Review | |

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Rational Expressions | |

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Rational Functions and Simplifying Rational Expressions | |

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Multiplying and Dividing Rational Expressions | |

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Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator | |

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Adding and Subtracting Rational Expressions with Unlike Denominators | |

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Simplifying Complex Fractions | |

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Solving Equations Containing Rational Expressions | |

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Ratio and Proportion | |

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Rational Equations and Problem Solving | |

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Chapter 7 Project: Comparing Dosage Formulas | |

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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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Chapter 7 Cumulative Review | |

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Transitions to Intermediate Algebra | |

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Review Solving Equations | |

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Further Problem Solving | |

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Compound Inequalities | |

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Absolute Value Equations | |

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Absolute Value Inequalities | |

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Solving Systems of Linear Equations in Three Variables | |

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Solving Systems of Equations by Matrices | |

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Solving Systems of Equations by Determinants | |

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Chapter 8 Project: Analyzing Municipal Budgets | |

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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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Chapter 8 Cumulative Review | |

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Radicals, Rational Exponents, and Complex Numbers | |

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Radicals 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 Denominators and Numerators of Radical Expressions | |

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Radical Equations and Problem Solving | |

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Complex Numbers | |

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Chapter 9 Project: Calculating the Length and Period of a Pendulum | |

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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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Chapter 9 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 the Quadratic Formula | |

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Solving Equations by Using Quadratic Methods | |

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Nonlinear Inequalities in One Variable | |

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Variation and Problem Solving | |

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Quadratic Functions and Their Graphs | |

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Further Graphing of Quadratic Functions | |

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Chapter 10 Project: Fitting a Quadratic Model to Data | |

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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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Chapter 10 Cumulative Review | |

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Exponential and Logarithmic Functions | |

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The Algebra of Functions; Composite 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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Common Logarithms, Natural Logarithms, and Change of Base | |

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Exponential and Logarithmic Equations and Applications | |

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Chapter 11 Project: Modeling Temperature | |

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Chapter 11 Vocabulary Check | |

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Chapter 11 Highlights | |

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Chapter 11 Review | |

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Chapter 11 Test | |

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Chapter 11 Cumulative Review | |

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Sequences, Series, and the Binomial Theorem | |

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Sequences | |

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Arithmetic and Geometric Sequences | |

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Series | |

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Partial Sums of Arithmetic and Geometric Sequences | |

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The Binomial Theorem | |

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Chapter 12 Project: Modeling College Tuition | |

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Chapter 12 Vocabulary Check | |

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Chapter 12 Highlights | |

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Chapter 12 Review | |

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Chapter 12 Test | |

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Chapter 12 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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Solving Nonlinear Systems of Equations | |

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Nonlinear Inequalities and Systems of Inequalities | |

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Chapter 13 Project: Modeling Conic Sections | |

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Chapter 13 Vocabulary Check | |

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Chapter 13 Highlights | |

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Chapter 13 Review | |

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Chapter 13 Test | |

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Chapter 13 Cumulative Review | |

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Appendices | |

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Operations on Decimals | |

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Review of Angles, Lines, and Special Triangles | |

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Review of Geometric Figures | |

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Review of Volume and Surface Area | |

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Mean, Median, and Mode | |

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Introduction to Using a Graphing Utility | |

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Table of Squares and Square Roots | |

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Answers to Selected Exercises | |

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Index | |

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Photo Credits | |