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Preface | |

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To the Student | |

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Real Numbers | |

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Study Skills for Success in Mathematics | |

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Problem Solving | |

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Fractions | |

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The Real Number System | |

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Inequalities | |

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Mid-Chapter Test: Sections 1.1-1.5 | |

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Addition of Real Numbers | |

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Subtraction of Real Numbers | |

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Multiplication and Division of Real Numbers | |

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Exponents, Parentheses, and the Order of Operations | |

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Properties of the Real Number System | |

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Summary | |

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Review Exercises | |

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Practice Test | |

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Solving Linear Equations and Inequalities | |

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Combining Like Terms | |

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The Addition Property of Equality | |

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The Multiplication Property of Equality | |

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Solving Linear Equations with a Variable on Only One Side of the Equation | |

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Mid-Chapter Test: Sections 2.1-2.4 | |

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Solving Linear Equations with the Variable on Both Sides of the Equation | |

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Formulas | |

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Ratios and Proportions | |

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Inequalities in One Variable | |

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Summary | |

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Review Exercises | |

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Practice Test | |

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Cumulative Review Test | |

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Applications of Algebra | |

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Changing Application Problems into Equations | |

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Solving Application Problems | |

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Mid-Chapter Test: Sections 3.1-3.2 | |

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Geometric Problems | |

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Motion, Money, and Mixture Problems | |

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Summary | |

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Review Exercises | |

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Practice Test | |

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Cumulative Review Test | |

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Graphing Linear Equations | |

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The Cartesian Coordinate System and Linear Equations in Two Variables | |

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Graphing Linear Equations | |

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Slope of a Line | |

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Mid-Chapter Test: Sections 4.1-4.2 | |

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Slope-Intercept and Point-Slope Forms of a Linear Equation | |

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Graphing Linear Inequalities | |

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Functions | |

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Summary | |

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Review Exercises | |

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Practice Test | |

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Cumulative Review Test | |

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Systems of Linear Equations | |

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Solving Systems of Equations Graphically | |

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Solving Systems of Equations by Substitution | |

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Solving Systems of Equations by the Addition Method | |

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Mid-Chapter Test: Sections 5.1-5.3 | |

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Systems of Equations: Applications and Problem Solving | |

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Solving Systems of Linear Inequalities | |

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Summary | |

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Review Exercises | |

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Practice Test | |

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Cumulative Review Test | |

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Exponents and Polynomials | |

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Exponents | |

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Negative Exponents | |

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Scientific Notation | |

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Mid-Chapter Test: Sections 6.1-6.2 | |

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Addition and Subtraction of Polynomials | |

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Multiplication of Polynomials | |

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Division of Polynomials | |

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Summary | |

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Review Exercises | |

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Practice Test | |

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Cumulative Review Test | |

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Factoring | |

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Factoring a Monomial from a Polynomial | |

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Factoring by Grouping | |

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Factoring Trinomials of the Form ax[superscript 2] + bx + c, a = 1 | |

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Factoring Trinomials of the Form ax[superscript 2] + bx + c, a [nonequal] 1 | |

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Mid-Chapter Test: Sections 7.1-7.4 | |

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Special Factoring Formulas and a General Review of Factoring | |

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Solving Quadratic Equations Using Factoring | |

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Applications of Quadratic Equations | |

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Summary | |

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Review Exercises | |

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Practice Test | |

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Cumulative Review Test | |

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Rational Expressions and Equations | |

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Simplifying Rational Expressions | |

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Multiplication and Division of Rational Expressions | |

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Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator | |

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Addition and Subtraction of Rational Expressions | |

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Mid-Chapter Test: Sections 8.1-8.4 | |

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Complex Fractions | |

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Solving Rational Equations | |

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Rational Equations: Applications and Problem Solving | |

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Variation | |

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Summary | |

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Review Exercises | |

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Practice Test | |

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Cumulative Review Test | |

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Roots and Radicals | |

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Evaluating Square Roots | |

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Simplifying Square Roots | |

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Adding, Subtracting, and Multiplying Square Roots | |

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Dividing Square Roots | |

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Mid-Chapter Test: Sections 9.1-9.4 | |

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Solving Radical Equations | |

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Radicals: Applications and Problem Solving | |

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Higher Roots and Rational Exponents | |

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Summary | |

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Review Exercises | |

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Practice Test | |

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Cumulative Review Test | |

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Quadratic Equations | |

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The Square Root Property | |

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Solving Quadratic Equations by Completing the Square | |

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Solving Quadratic Equations by the Quadratic | |

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Formula 604 Mid-Chapter Test Sections 10.1-10.3 | |

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Graphing Quadratic Equations | |

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Complex Numbers | |

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Summary | |

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Review Exercises | |

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Practice Test | |

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Cumulative Review Test | |

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Appendices | |

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Review of Decimals and Percent | |

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Finding the Greatest Common Factor and Least Common Denominator | |

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Geometry | |

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Answers | |

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Applications Index | |

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Subject Index | |

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Photo Credits | |