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Preface | |

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Foundations: Getting Ready for Algebra | |

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Operations on Real Numbers and Algebraic Expressions | |

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Success in Mathematics | |

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The Number Systems and the Real Number Line | |

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Adding, Subtracting, Multiplying, and Dividing Integers | |

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Adding, Subtracting, Multiplying, and Dividing Rational Numbers Expressed as Fractions and Decimals | |

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Putting the Concepts Together (Sections 1.2-1.4) | |

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Properties of Real Numbers | |

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Exponents and the Order of Operations | |

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Simplifying Algebraic Expressions | |

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Chapter 1 Activity: The Math Game | |

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Chapter 1 Review | |

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Chapter 1 Test | |

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Developing Algebraic Skills Using One Unknown | |

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Equations and Inequalities in One Variable | |

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Linear Equations: The Addition and Multiplication Properties of Equality | |

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Linear Equations: Using the Properties Together | |

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Solving Linear Equations Involving Fractions and Decimals; Classifying Equations | |

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Evaluating Formulas and Solving Formulas for a Variable | |

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Putting the Concepts Together (Sections 2.1-2.4) | |

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Introduction to Problem Solving: Direct Translation Problems | |

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Problem Solving: Direct Translation Problems Involving Percent | |

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Problem Solving: Geometry and Uniform Motion | |

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Solving Linear Inequalities in One Variable | |

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Chapter 2 Activity: Pass to the Right | |

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Chapter 2 Review | |

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Chapter 2 Test | |

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Exponents and Polynomials | |

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Adding and Subtracting Polynomials | |

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Multiplying Monomials: The Product and Power Rules | |

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Multiplying Polynomials | |

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Dividing Monomials: The Quotient Rule and Integer Exponents | |

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Putting the Concepts Together (Sections 3.1-3.4) | |

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Dividing Polynomials | |

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Applying Exponent Rules: Scientific Notation | |

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Chapter 3 Activity: What Is the Question? | |

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Chapter 3 Review | |

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Chapter 3 Test | |

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Cumulative Review Chapters 1-3 | |

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Factoring Polynomials | |

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Greatest Common Factor and Factoring by Grouping | |

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

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Factoring Trinomials of the Form ax[superscript 2] + bx + c, a [not equal] 1 | |

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Factoring Special Products | |

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Summary of Factoring Techniques | |

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Putting the Concepts Together (Sections 4.1-4.5) | |

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Solving Polynomial Equations by Factoring | |

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Modeling and Solving Problems with Quadratic Equations | |

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Chapter 4 Activity: Which One Does Not Belong? | |

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Chapter 4 Review | |

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Chapter 4 Test | |

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Rational Expressions and Equations | |

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Simplifying Rational Expressions | |

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Multiplying and Dividing Rational Expressions | |

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Adding and Subtracting Rational Expressions with a Common Denominator | |

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Finding the Least Common Denominator and Forming Equivalent Rational Expressions | |

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Adding and Subtracting Rational Expressions with Unlike Denominators | |

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Complex Rational Expressions | |

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Putting the Concepts Together (Sections 5.1-5.6) | |

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Rational Equations | |

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Models Involving Rational Equations | |

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Chapter 5 Activity: Correct the Quiz | |

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Chapter 5 Review | |

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Chapter 5 Test | |

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Cumulative Review Chapters 1-5 | |

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Roots and Radicals | |

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Introduction to Square Roots | |

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Simplifying Square Roots | |

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Adding and Subtracting Square Roots | |

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Multiplying Expressions with Square Roots | |

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Dividing Expressions with Square Roots | |

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Putting the Concepts Together (Sections 6.1-6.5) | |

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Solving Equations Containing Square Roots | |

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Higher Roots and Rational Exponents | |

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Chapter 6 Activity: Working Together with Radicals | |

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Chapter 6 Review | |

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Chapter 6 Test | |

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Quadratic Equations | |

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Solving Quadratic Equations Using the Square Root Property | |

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Solving Quadratic Equations by Completing the Square | |

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Solving Quadratic Equations Using the Quadratic Formula | |

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Putting the Concepts Together (Sections 7.1-7.3) | |

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Problem Solving Using Quadratic Equations | |

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The Complex Number System | |

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Chapter 7 Activity: The Math Game | |

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Chapter 7 Review | |

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Chapter 7 Test | |

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Cumulative Review Chapters 1-7 | |

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Developing Algebraic Skills Using Two Unknowns | |

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Introduction to Graphing and Equations of Lines | |

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The Rectangular Coordinate System and Equations in Two Variables | |

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Graphing Equations in Two Variables | |

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Slope | |

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Slope-Intercept Form of a Line | |

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Point-Slope Form of a Line | |

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Parallel and Perpendicular Lines | |

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Putting the Concepts Together (Sections 8.1-8.6) | |

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Variation | |

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Linear Inequalities in Two Variables | |

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Chapter 8 Activity: Graphing Practice | |

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Chapter 8 Review | |

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Chapter 8 Test | |

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Systems of Linear Equations and Inequalities | |

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Solving Systems of Linear Equations by Graphing | |

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Solving Systems of Linear Equations Using Substitution | |

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Solving Systems of Linear Equations Using Elimination | |

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Putting the Concepts Together (Sections 9.1-9.3) | |

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Solving Direct Translation, Geometry, and Uniform Motion Problems Using Systems of Linear Equations | |

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Solving Mixture Problems Using Systems of Linear Equations | |

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Systems of Linear Inequalities | |

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Chapter 9 Activity: Find the Numbers | |

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Chapter 9 Review | |

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Chapter 9 Test | |

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Cumulative Review Chapters 1-9 | |

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Graphs of Quadratic Equations in Two Variables and an Introduction to Functions | |

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Quadratic Equations in Two Variables | |

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Relations | |

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Putting the Concepts Together (Sections 10.1-10.2) | |

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An Introduction to Functions | |

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Chapter 10 Activity: Discovering Shifting | |

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Chapter 10 Review | |

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Chapter 10 Test | |

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Fractions, Decimals, and Percents | |

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Table of Square Roots | |

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Geometry Review | |

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Answers to Quick Check Exercises | |

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Answers to Selected Exercises | |

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Applications Index | |

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Subject Index | |

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Photo Credits | |