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| The Fundamental Concepts | |
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| The Real Numbers and the Real Number Line | |
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| Operations with Real Numbers | |
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| Algebraic Expressions | |
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| Translating Phrases and Sentences into Algebraic Form | |
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| First-Degree Equations and Inequalities | |
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| Chapter Summary | |
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| Review Exercises and Practice Test | |
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| Equations and Inequalitites | |
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| Equations as Mathematical Models | |
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| First-Degree Equations and Applications | |
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| First-Degree Inequalities and Applications | |
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| Absolute-Value Equations and Inequalities | |
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| Chapter Summary | |
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| Review Exercises and Practice Test | |
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| Graphing Straight Lines and Functions | |
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| The Rectangular Coordinate System and Graphing Straight Lines | |
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| Graphs and Equations | |
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| Relations and Functions: Basic Concepts | |
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| Function Notation | |
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| Interpreting Graphs | |
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| Chapter Summary | |
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| Review Exercises and Practice Test | |
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| Cumulative Review and Practice Test: Chapters 1-3 | |
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| Equations of a Line and Linear Systems in Two Variables | |
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| Straight Lines and Slope | |
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| Equations of a Line and Linear Functions as Mathematical Models | |
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| Linear Systems in Two Variables | |
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| Graphing Linear Inequalities in Two Variables | |
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| Chapter Summary | |
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| Review Exercises and Practice Test | |
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| Polynomial Expressions and Functions | |
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| Polynomial Functions as Mathematical Models | |
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| Polynomials: Sums, Differences, and Products | |
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| General Forms and Special Products | |
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| Factoring out the Greatest Common Factor | |
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| Factoring Trinomials | |
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| Solving Polynomial Equations by Factoring | |
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| Polynomial Division | |
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| Chapter Summary | |
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| Review Exercises and Practice Test | |
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| Rational Expressions and Functions | |
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| Rational Functions | |
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| Equivalent Fractions | |
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| Multiplication and Division of Rational Expressions | |
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| Sums and Differences of Rational Expressions | |
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| Mixed Operations and Complex Fractions | |
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| Fractional Equations and Inequalities | |
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| Literal Equations | |
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| Applications: Rational Functions and Equations as Mathematical Models | |
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| Chapter Summary | |
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| Review Exercises and Practice Test | |
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| Cumulative Review and Practice Test: Chapters 4-6 | |
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| Exponents and Radicals | |
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| Natural Number and Integer Exponents | |
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| Scientific Notation | |
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| Rational Exponents and Radical Notation | |
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| Simplifying Radical Expressions | |
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| Adding and Subtracting Radical Expressions | |
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| Multiplying and Dividing Radical Expressions | |
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| Radical Functions and Equations | |
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| Complex Numbers | |
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| Chapter Summary | |
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| Review Exercises and Practice Test | |
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| Quadratic Functions and Equations | |
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| Quadratic Functions as Mathematical Models | |
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| Solving Quadratic Equations: The Factoring and Square Root Methods | |
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| Solving Quadratic Equations: Completing the Square | |
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| Solving Quadratic Equations: The Quadratic Formula | |
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| Equations Reducible to Quadratic Form (and More Radical Equations) | |
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| Graphing Quadratic Functions | |
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| Quadratic and Rational Inequalities | |
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| The Distance Formula: Circles | |
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| Chapter Summary | |
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| Review Exercises and Practice Test | |
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| More on Functions | |
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| More on Function Notation: Split Functions | |
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| Composition and the Algebra of Functions | |
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| Types of Functions | |
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| Inverse Functions | |
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| Variation | |
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| Chapter Summary | |
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| Review Exercises and Practice Test | |
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| Cumulative Review And Practice Test: Chapters 7-9 | |
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| Exponential and Logarithmic Functions | |
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| Exponential Functions | |
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| Logarithms and 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 | |
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| Applications: Exponential and Logarithmic Functions as Mathematical Models | |
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| Chapter Summary | |
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| Review Exercises and Practice Test | |
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| More Systems of Equations and Systems of Inequalitities | |
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| 3x3 Linear Systems | |
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| Solving Linear Systems Using Augmented Matrices | |
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| The Algebra of Matrices | |
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| Solving Linear Systems Using Matrix Inverses | |
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| Determinants and Cramer's Rule | |
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| Systems of Linear Inequalities | |
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| Nonlinear Systems of Equations | |
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| Chapter Summary | |
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| Review Exercises and Practice Test | |
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| Cumulative Review And Practice Test: Chapters 10-11 | |
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| Sets | |
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| The Conic Sections | |
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| Answers to Selected Exercises and Chapter Tests | |
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| Index | |