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Preface to the Instructor. | |

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Preface to the Student | |

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The Basics | |

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Notation and Symbols | |

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Real Numbers | |

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Addition of Real Numbers | |

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Subtraction of Real Numbers | |

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Properties of Real Numbers | |

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Multiplication of Real Numbers | |

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Division of Real Numbers | |

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Subsets of Real Numbers | |

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Addition and Subtraction with Fractions | |

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Summary | |

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Review | |

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Test | |

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Projects | |

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Linear Equations and Inequalities | |

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Simplifying Expressions. | |

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Addition Property of Equality | |

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Multiplication Property of Equality | |

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Solving Linear Equations | |

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Formulas | |

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Applications | |

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More Applications | |

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Linear Inequalities | |

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Summary | |

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Review | |

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Cumulative Review, Chapters 1-2 | |

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Test | |

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Projects | |

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Graphing and Linear Systems | |

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Paired Data and Graphing Ordered Pairs | |

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Solutions to Linear Equations in Two Variables | |

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Graphing Linear Equations in Two Variables | |

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More on Graphing: Intercepts | |

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Solving Linear Systems by Graphing | |

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The Addition Method | |

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The Substitution Method | |

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Applications | |

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Summary | |

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Review | |

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Cumulative Review | |

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Test | |

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Projects | |

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Exponents and Polynomials | |

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Multiplication with Exponents | |

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Division with Exponents | |

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Operations with Monomials | |

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Addition and Subtraction of Polynomials | |

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Multiplication with Polynomials | |

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Binomial Squares and Other Special Products | |

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Dividing a Polynomial by a Monomial | |

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Dividing a Polynomial by a Polynomial | |

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Summary | |

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Review | |

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Cumulative Review, Chapters 1-4 | |

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Test | |

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Projects | |

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Factoring | |

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The Greatest Common Factor and Factoring by Grouping | |

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Factoring Trinomials | |

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More Trinomials to Factor | |

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The Difference of Two Squares | |

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Factoring: A General Review | |

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Solving Equations by Factoring | |

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Applications | |

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Summary | |

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Review | |

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Cumulative Review, Chapters 1-5 | |

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Test | |

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Projects | |

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Rational Expressions | |

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Reducing Rational Expressions to Lowest Terms | |

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Multiplication and Division of Rational Expressions | |

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Addition and Subtraction of Rational Expressions | |

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Equations Involving Rational Expressions | |

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Applications | |

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Complex Fractions | |

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Proportions | |

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Summary | |

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Review | |

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Cumulative Review, Chapters 1-6 | |

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Test | |

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Projects | |

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Transitions | |

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Review of Solving Equations | |

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Equations with Absolute Value | |

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Compound Inequalities and Interval Notation | |

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Inequalities Involving Absolute Value | |

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Factoring the Sum and Difference of Two Cubes | |

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Review of Systems of Linear Equations in Two Variables | |

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Systems of Linear Equations in Three Variables | |

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Summary | |

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Review | |

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Cumulative Review, Chapters 1-7 | |

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Test | |

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Projects | |

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Equations and Inequalities in Two Variables | |

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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 and Composition with Functions | |

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Variation | |

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Summary | |

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Review | |

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Cumulative Review, Chapters 1-8 | |

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Test | |

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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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Cumulative Review, Chapters 1-9 | |

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Test | |

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Projects | |

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Quadratic Equations | |

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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 in Quadratic 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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Cumulative Review, Chapters 1-10 | |

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Test | |

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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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Cumulative Review, Chapters 1-11 | |

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Test | |

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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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Cumulative Review, Chapters 1-12 | |

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Test | |

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Projects | |

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Appendices | |

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Synthetic Division | |

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Introduction to Determinants | |

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Cramer's Rule | |

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Systems of Linear Inequalities | |

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Solutions to Selected Problems | |

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