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Preface to the Instructor | |

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Preface to the Student | |

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Basic Properties and Definitions | |

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Fundamental Definitions and Notation | |

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Properties of Real Numbers | |

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Arithmetic With Real Numbers | |

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Exponents and Scientific Notation | |

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Polynomials, Sums, Differences, and Products | |

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Factoring | |

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Special Factoring | |

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Recognizing Patterns | |

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Summary | |

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Review | |

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Test | |

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Projects | |

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Equations and Inequalities in One Variable | |

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Linear and Quadratic Equations in One Variable | |

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Formulas | |

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Applications | |

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Linear Inequalities in One Variable | |

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Equations With Absolute Value | |

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Inequalities Involving Absolute Value | |

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Summary | |

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Review | |

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Test | |

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Cumulative Review | |

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Projects | |

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Equations and Inequalities in Two Variables | |

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Paired Data and the Rectangular Coordinate System | |

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The Slope of a Line | |

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The Equation of a Line | |

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Linear Inequalities in Two Variables | |

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Introduction to Functions | |

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Function Notation | |

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Algebra With Functions | |

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Variation | |

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Summary | |

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Review | |

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Test | |

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Cumulative Review | |

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Projects | |

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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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Introduction to Determinants | |

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Cramer's Rule | |

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Applications | |

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Systems of Linear Inequalities | |

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Summary | |

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Review | |

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Test | |

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Cumulative Review | |

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Projects | |

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Rational Expressions and Rational Functions | |

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Basic Properties and Reducing to Lower Terms | |

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Division of Polynomials | |

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Multiplication and Division of Rational Expressions | |

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Addition and Subtraction of Rational Expressions | |

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Complex Fractions | |

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Equations Involving Rational Expressions | |

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Applications | |

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Summary | |

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Review | |

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Test | |

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Cumulative Review | |

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Projects | |

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Rational Exponents and Roots | |

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Rational Exponents | |

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More Expressions Involving Rational Exponents | |

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Simplified Form for Radicals | |

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Addition and Subtraction of Radical Expressions | |

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Multiplication and Division of Radical Expressions | |

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Equations With Radicals | |

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Complex Numbers | |

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Summary | |

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Review | |

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Test | |

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Cumulative Review | |

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Projects | |

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Quadratic Functions | |

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Completing the Square | |

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The Quadratic Formula | |

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Additional Items Involving Solutions to Equations | |

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Equations Quadratic in Form | |

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Graphing Parabolas | |

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Quadratic Inequalities | |

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Summary | |

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Review | |

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Test | |

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Cumulative Review | |

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Projects | |

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Exponential and Logarithmic Functions | |

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Exponential Functions | |

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The Inverse of a Function | |

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Logarithms Are Exponents | |

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Properties of Logarithms | |

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Common Logarithms and Natural Logarithms | |

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Exponential Equations and Change of Base | |

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Summary | |

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Review | |

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Test | |

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Cumulative Review | |

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Projects | |

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Sequences and Series | |

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Sequences | |

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Series | |

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Arithmetic Sequences | |

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Geometric Sequences | |

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The Binomial Expansion | |

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Summary | |

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Review | |

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Test | |

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Cumulative Review | |

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Projects | |

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Conic Sections | |

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The Circle | |

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Ellipses and Hyperbolas | |

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Second-Degree Inequalities and Nonlinear Systems | |

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Summary | |

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Review | |

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Test | |

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Cumulative Review | |

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Projects | |

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Introduction to Trigonometry | |

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Degrees, Radians, and Special Triangles | |

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Trigonometric Functions | |

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Trigonometric Functions and Calculators | |

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Graphing I: Amplitude and Period | |

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Graphing II: Phase Shift | |

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Finding an Equation from Its Graph | |

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Inverse Trigonometric Functions | |

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Summary | |

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Review | |

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Test | |

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Cumulative Review | |

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Projects | |

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Trigonometric Identities and Equations | |

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Introduction to Identities | |

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Proving Identities | |

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Sum and Difference Formulas | |

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Double-Angle and Half-Angle Formulas | |

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Solving Trigonometric Equations | |

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Summary | |

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Review | |

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Test | |

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Cumulative Review | |

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Projects | |

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Triangles | |

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Definition II: Right Triangle Trigonometry | |

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The Law of Sines | |

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The Ambiguous Case | |

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The Law of Cosines | |

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Summary | |

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Review | |

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Test | |

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Cumulative Review | |

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Projects | |

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Synthetic Division | |

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Matrix Solutions to Linear Systems | |

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Conditional Statements | |

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Answers to Odd-Numbered Problems, Chapter Reviews, Chapter Tests, and Cumulative Reviews | |

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Index | |