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Note: Each chapter begins with a Prep Test and concludes with a Chapter Summary, Review Exercises, and a Chapter Test | |

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Chapters 2-12 include Cumulative Review Exercises | |

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AIM for Success | |

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Review of Real Numbers | |

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Introduction to Real Numbers | |

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Operations on Rational Numbers | |

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Variable Expressions | |

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Verbal Expressions and Variable Expressions Focus on Problem Solving: Polya's Four-Step Process Projects and Group Activities: Water Displacement | |

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First-Degree Equations and Inequalities | |

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Solving First-Degree Equations | |

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Applications: Puzzle Problems | |

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Applications: Mixture and Uniform Motion Problems | |

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First-Degree Inequalities | |

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Absolute Value Equations and Inequalities Focus on Problem Solving: Understand the Problem Projects and Group Activities: Electricity | |

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Linear Functions and Inequalities in Two Variables | |

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The Rectangular Coordinate System | |

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Introduction to Functions | |

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Linear Functions | |

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Slope of a Straight Line | |

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Finding Equations of Lines | |

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Parallel and Perpendicular Lines | |

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Inequalities in Two Variables Focus on Problem Solving: Find a Pattern Projects and Group Activities: Evaluating a Function with a Graphing Calculator; Introduction to Graphing Calculators; Wind-Chill Index | |

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Systems of Equations and Inequalities | |

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Solving Systems of Linear Equations by Graphing and by the Substitution Method | |

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Solving Systems of Linear Equations by the Addition Method | |

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Solving Systems of Equations by Using Determinants | |

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Application Problems | |

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Solving Systems of Linear Inequalities Focus on Problem Solving: Solve an Easier Problem Projects and Group Activities: Using a Graphing Calculator to Solve a System of Equations | |

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Polynomials | |

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Exponential Expressions | |

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Introduction to Polynomial Functions | |

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Multiplication of Polynomials | |

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Division of Polynomials | |

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Factoring Polynomials | |

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Special Factoring | |

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Solving Equations by Factoring Focus on Problem Solving: Find a Counterexample Projects and Group Activities: Astronomical Distances and Scientific Notation | |

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Rational Expressions | |

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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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Ratio and Proportion | |

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Rational Equations | |

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Variation Focus on Problem Solving: Implication Projects and Group Activities: Graphing Variation Equations; Transformers | |

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Exponents and Radicals | |

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Rational Exponents and Radical Expressions | |

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Operations on Radical Expressions | |

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Solving Equations Containing Radical Expressions | |

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Complex Numbers Focus on Problem Solving: Another Look at Polya's Four-Step Process Projects and Group Activities: Solving Radical Equations with a Graphing Calculator; The Golden Rectangle | |

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Quadratic Equations | |

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Solving Quadratic Equations by Factoring or by Taking Square Roots | |

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Solving Quadratic Equations by Completing the Square | |

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Solving Quadratic Equations by using the Quadratic Formula | |

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Solving Equations That Are Reducible to Quadratic Equations | |

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Quadratic Inequalities and Rational Inequalities | |

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Applications of Quadratic Equations Focus on Problem Solving: Inductive and Deductive Reasoning Projects and Group Activities: Using a Graphing Calculator to Solve a Quadratic Equation | |

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Functions and Relations | |

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Properties of Quadratic Functions | |

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Graphs of Functions | |

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Algebra of Functions | |

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One-to-One and Inverse Functions Focus on Problem Solving: Proof in Mathematics Projects and Group Activities: Finding the Maximum or Minimum of a Function Using a Graphing Calculator; Business Applications of Maximum and Minimum Values of Quadratic Functions | |

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Exponential and Logarithmic Functions | |

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Exponential Functions | |

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Introduction to Logarithms | |

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Graphs of Logarithmic Functions | |

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Solving Exponential and Logarithmic Equations | |

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Applications of Exponential and Logarithmic Functions Focus on Problem Solving: Proof by Contradiction Projects and Group Activities: Solving Exponential and Logarithmic Equations Using a Graphing Calculator; Credit Reports and FICO Scores | |

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Conic Sections | |

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The Parabola | |

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The Circle | |

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The Ellipse and the Hyperbola | |

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Solving Non-linear Systems of Equations | |

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Quadratic Inequalities and Systems of Inequalities Focus on Problem Solving: Using a Variety of Problem-Solving Techniques Projects and Group Activities: The Eccentricity and Foci of an Ellipse; Graphing Conic Sections Using a Graphing Calculator | |

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Sequences and Series | |

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Introduction to Sequences and Series | |

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Arithmetic Sequences and Series | |

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Geometric Sequences and Series | |

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Binomial Expansions Focus on Problem Solving: Forming Negations Projects and Group Activities: ISBN and UPC Numbers Final Exam | |

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Keystroke Guide for the TI-83/83 Plus Calculators | |

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Proofs of Logarithmic Properties Proof of the Formula for the Sum of n Terms of an Geometric Series Proof of the Formula for the Sum of n Terms of an Arithmetic Series Table of Symbols Table of Properties Table of Algebraic and Geometric Formulas Solutions to You Try Its Answers to Selected Exercises | |

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Glossary | |

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Index | |

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Index of Applications | |