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Index of Applications | |

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Index of Study Tips | |

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Preface | |

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Prealgebra Review | |

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Factoring and LCMs | |

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Fraction Notation | |

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Decimal Notation | |

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Percent Notation | |

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Exponential Notation and Order of Operations | |

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Geometry | |

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Summary and Review | |

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Test | |

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Introduction to Real Numbers and Algebraic Expressions | |

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Introduction to Algebra | |

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The Real Numbers | |

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Addition of Real Numbers | |

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Subtraction of Real Numbers | |

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Multiplication of Real Numbers | |

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Division of Real Numbers | |

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Properties of Real Numbers | |

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Simplifying Expressions; Order of Operations | |

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Summary and Review | |

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Test | |

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Solving Equations and Inequalities | |

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Solving Equations: The Addition Principle | |

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Solving Equations: The Multiplication Principle | |

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Using the Principles Together | |

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Formulas | |

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Applications of Percent | |

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Applications and Problem Solving | |

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Translating for Success | |

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Solving Inequalities | |

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Applications and Problem Solving with Inequalities | |

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Summary and Review | |

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Test | |

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Cumulative Review: Chapters 1-2 | |

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Graphs of Linear Equations | |

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Graphs and Applications of Linear Equations | |

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More with Graphing and Intercepts | |

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Visualizing for Success | |

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Slope and Applications | |

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Equations of Lines | |

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Graphing Using the Slope and the y-Intercept | |

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Parallel and Perpendicular Lines | |

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Graphing Inequalities in Two Variables | |

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Visualizing for Success | |

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Summary and Review | |

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Test | |

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Polynomials: Operations | |

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Integers as Exponents | |

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Exponents and Scientific Notation | |

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Introduction to Polynomials | |

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Addition and Subtraction of Polynomials | |

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Multiplication of Polynomials | |

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Special Products | |

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Visualizing for Success | |

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Operations with Polynomials in Several Variables | |

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Division of Polynomials | |

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Summary and Review | |

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Test | |

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Cumulative Review: Chapters 1-4 | |

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Polynomials: Factoring | |

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Introduction to Factoring | |

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Factoring Trinomials of the Type x[superscript 2] + bx + c | |

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Factoring ax[superscript 2] + bx + c, a [not equal] 1: The FOIL Method | |

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Factoring ax[superscript 2] + bx + c, a [not equal] 1: The ac-Method | |

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Factoring Trinomial Squares and Differences of Squares | |

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Factoring: A General Strategy | |

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Solving Quadratic Equations by Factoring | |

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Applications of Quadratic Equations | |

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Translating for Success | |

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Summary and Review | |

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Test | |

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Rational Expressions and Equations | |

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Multiplying and Simplifying Rational Expressions | |

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Division and Reciprocals | |

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Least Common Multiples and Denominators | |

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Adding Rational Expressions | |

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Subtracting Rational Expressions | |

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Solving Rational Equations | |

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Applications Using Rational Equations and Proportions | |

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Translating for Success | |

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Complex Rational Expressions | |

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Direct and Inverse Variation | |

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Summary and Review | |

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Test | |

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Cumulative Review: Chapters 1-6 | |

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Systems of Equations | |

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Systems of Equations in Two Variables | |

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The Substitution Method | |

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The Elimination Method | |

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Applications and Problem Solving | |

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Applications with Motion | |

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Translating for Success | |

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Summary and Review | |

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Test | |

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Radical Expressions and Equations | |

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Introduction to Radical Expressions | |

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Multiplying and Simplifying with Radical Expressions | |

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Quotients Involving Radical Expressions | |

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Addition, Subtraction, and More Multiplication | |

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Radical Equations | |

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Applications with Right Triangles | |

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Translating for Success | |

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Summary and Review | |

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Test | |

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Cumulative Review: Chapters 1-8 | |

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Quadratic Equations | |

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Introduction to Quadratic Equations | |

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Solving Quadratic Equations by Completing the Square | |

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The Quadratic Formula | |

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Formulas | |

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Applications and Problem Solving | |

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Translating for Success | |

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Graphs of Quadratic Equations | |

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Visualizing for Success | |

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Functions | |

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Summary and Review | |

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Test | |

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Cumulative Review/Final Examination: Chapters 1-9 | |

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Appendixes | |

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Factoring Sums or Differences of Cubes | |

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Finding Equations of Lines: Point-Slope Equation | |

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Higher Roots | |

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Sets | |

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Mean, Median, and Mode | |

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Answers (Student Edition only) | |

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Photo Credits | |

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Glossary | |

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Index | |