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Note: Each chapter ends with a Study Summary, Review Exercises, and a Chapter Test. A Cumulative Review is provided after Chapters 3, 6, 9, and 11 | |

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Algebra and Problem Solving | |

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Some Basics of Algebra | |

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Operations and Properties of Real Numbers | |

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Solving Equations | |

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Connecting the Concepts | |

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Introduction to Problem Solving | |

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Formulas, Models, and Geometry | |

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Properties of Exponents | |

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Scientific Notation | |

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Graphs, Functions, and Linear Equations | |

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Graphs | |

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Functions | |

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Linear Functions: Slope, Graphs, and Models | |

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Another Look at Linear Graphs | |

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Other Equations of Lines | |

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Connecting the Concepts | |

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The Algebra of Functions | |

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Systems of Equations and Problem Solving | |

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Systems of Equations in Two Variables | |

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Solving by Substitution or Elimination | |

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Connecting the Concepts | |

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Solving Applications: Systems of Two Equations | |

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Systems of Equations in Three Variables | |

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Connecting the Concepts | |

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Solving Applications: Systems of Three Equations | |

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Elimination Using Matrices | |

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Determinants and Cramerrsquo;s Rule | |

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Business and Economics Applications | |

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Inequalities and Problem Solving | |

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Inequalities and Applications | |

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Intersections, Unions, and Compound Inequalities | |

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Absolute-Value Equations and Inequalities | |

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Inequalities in Two Variables | |

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Connecting the Concepts | |

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Applications Using Linear Programming | |

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Polynomials and Polynomial Functions Introduction to Polynomials and Polynomial Functions | |

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Connecting the Concepts | |

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Multiplication of Polynomials | |

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Common Factors and Factoring by Grouping | |

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Connecting the Concepts | |

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Factoring Trinomials | |

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Factoring Perfect-Square Trinomials and Differences of Squares | |

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Factoring Sums or Differences of Cubes | |

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Factoring: a General Strategy | |

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Applications of Polynomial Equations | |

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Rational Expressions, Equations, and Functions Rational Expressions and Functions: Multiplying and Dividing Rational Expressions and Functions: Adding and Subtracting Complex Rational Expressions | |

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Rational Equations | |

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Solving Applications Using Rational Equations | |

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Division of Polynomials | |

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Formulas, Applications, and Variation | |

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Exponents and Radicals | |

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Radical Expressions and Functions | |

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Rational Numbers as Exponents | |

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Multiplying Radical Expressions | |

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Dividing Radical Expressions | |

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Expressions Containing Several Radical Terms | |

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Solving Radical Equations | |

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Connecting the Concepts | |

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Geometric Applications | |

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The Complex Numbers | |

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Quadratic Functions and Equations | |

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Quadratic Equations | |

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The Quadratic Formula | |

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Applications Involving Quadratic Equations | |

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Studying Solutions of Quadratic Equations Equations Reducible to Quadratic | |

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Quadratic Functions and Their Graphs | |

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Connecting the Concepts | |

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More About Graphing Quadratic Functions | |

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Problem Solving and Quadratic Functions | |

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Polynomial and Rational Inequalities | |

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Exponential and Logarithmic Functions | |

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Composite and Inverse Functions | |

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Exponential Functions | |

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Connecting the Concepts | |

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Logarithmic Functions | |

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Properties of Logarithmic Functions | |

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Common and Natural Logarithms | |

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Solving Exponential and Logarithmic Equations | |

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Applications of Exponential and Logarithmic Functions | |

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Conic Sections Conic Sections: Parabolas and Circles | |

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Conic Sections: Ellipses | |

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Conic Sections: Hyperbolas | |

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Connecting the Concepts | |

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Nonlinear Systems of Equations | |

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Sequences, Series, and the Binomial Theorem Sequences and Series | |

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Arithmetic Sequences and Series | |

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Geometric Sequences and Series | |

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The Binomial Theorem | |

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Connecting the Concepts | |

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Appendix: The Graphing Calculator | |

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Answers | |

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Glossary | |

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Index | |

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Index of Applications | |