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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 | |