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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 | |