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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 | |