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| Note: Each chapter concludes with Key Concepts, Exploration, Review Exercises, and a Chapter Test | |
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| Geometry and Numbers | |
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| Positive and Negative Numbers | |
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| Rates and Ratios | |
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| Exponents and Radicals | |
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| Perimeter and Area | |
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| Algebraic Expressions | |
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| Grouping and the Order of Operations | |
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| Expressions and Formulas | |
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| The Coordinate Plane | |
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| Representing Functions | |
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| Linear Equations | |
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| Solving Simple Equations | |
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| Simplifying Expressions to Solve Equations | |
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| The Problem-Solving Process | |
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| Arithmetic Sequences | |
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| Systems of Linear Equations | |
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| Slope and Rate of Change | |
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| Forms for Linear Equations | |
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| Graphical Solution of Systems of Equations | |
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| Algebraic Solution of Systems of Equations | |
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| Relationships Between Lines | |
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| More Applications of Linear Equations | |
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| Proportions | |
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| Percent and Percent Change | |
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| Mixtures and Investments | |
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| Systems of Three Equations | |
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| Exponents and Factoring | |
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| The Laws of Exponents | |
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| Products and Factors | |
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| Factoring by Grouping | |
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| Factoring Quadratic Trinomials | |
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| Factoring the Sum and Difference of Two Cubes | |
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| Quadratic Equations and Graphs | |
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| Solving Quadratic Equations | |
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| Parabolas | |
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| Algebraic Techniques for Solving Quadratic Equations | |
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| Applications That Lead to Quadratic Equations | |
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| Complex Numbers | |
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| Functions | |
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| What Is a Function | |
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| Graphs of Functions | |
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| Important Functions | |
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| Modifying Basic Functions | |
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| Powers and Roots | |
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| Rational Exponents and Radicals | |
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| Power Functions and Their Graphs | |
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| Direct Variation | |
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| Regression | |
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| Exponential and Logarithmic Functions | |
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| Exponential Growth | |
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| Exponential Decay | |
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| Logarithms | |
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| Logarithmic Scales | |
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| The Number e and the Natural Logarithm | |
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| Rational Expressions and Functions | |
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| Rational Expressions | |
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| Rational Functions and Their Graphs | |
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| Solving Rational Equations | |
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| Indirect Variation | |
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| Division of Polynomials | |
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| Inequalities | |
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| Inequalities and the Number Line | |
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| Solving Nonlinear Inequalities by Graphing | |
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| Inequalities in Two Variables; Systems | |
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| Transition to Intermediate Algebra | |
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| Friendly Windows for Graphing Calculators | |
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| Answers to Exercises | |
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| Index | |