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| To the student preface | |
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| Real Numbers and Their Properties | |
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| The Real Numbers | |
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| Fractions | |
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| Addition and Subtraction of Real Numbers | |
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| Multiplication and Division of Real Numbers | |
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| Exponential Expressions and the Order of Operations | |
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| Algebraic Expressions | |
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| Properties of the Real Numbers | |
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| Using the Properties to Simplify Expressions | |
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| Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
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| Test • Critical Thinking | |
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| Linear Equations and Inequalities in One Variable2 .1 The Addition and Multiplication Properties of Equality | |
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| Solving General Linear Equations | |
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| More Equations | |
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| Formulas | |
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| Translating Verbal Expressions into Algebraic Expressions | |
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| Number, Geometric, and Uniform Motion Applications | |
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| Discount, Investment, and Mixture Applications | |
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| Inequalities | |
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| Solving Inequalities and Applications | |
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| Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
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| Test • Making Connections | |
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| A review of Chapters 1-2 • Critical Thinking | |
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| Linear Equations in Two Variables and Their Graphs | |
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| Graphing Lines in the Coordinate Plane | |
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| Slope | |
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| Equations of Lines in Slope-Intercept Form | |
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| The Point-Slope Form | |
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| Variations | |
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| Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
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| Test • Making Connections | |
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| a review of Chapters 1-3 • Critical Thinking | |
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| Systems of Linear Equations and Inequalities | |
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| The Graphing Method | |
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| The Substitution Method | |
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| The Addition Method | |
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| Graphing Linear Inequalities in Two Variables | |
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| Graphing Systems of Linear Inequalities | |
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| Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
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| Test • Making Connections | |
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| a review of Chapters 1-4 • Critical Thinking | |
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| Exponents and Polynomials | |
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| The Rules of Exponents | |
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| Negative Exponents and Scientific Notation | |
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| Addition and Subtraction of Polynomials | |
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| Multiplication of Polynomials | |
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| Multiplication of Binomials | |
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| Special Products | |
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| Division of Polynomials | |
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| Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
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| Test • Making Connections | |
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| a review of Chapters 1-5 • Critical Thinking | |
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| Factoring | |
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| Factoring Out Common Factors | |
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| Special Products and Grouping | |
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| Factoring the Trinomial ax� + bx + c with a = 1 | |
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| Factoring the Trinomial ax� + bx + c with a � 1 | |
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| The Factoring Strategy | |
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| Solving Quadratic Equations by Factoring | |
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| Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
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| Test • Making Connections | |
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| a review of Chapters 1-6 • Critical Thinking | |
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| Rational Expressions | |
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| Reducing Rational Expressions | |
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| Multiplication and Division | |
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| Finding the Least Common Denominator | |
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| Addition and Subtraction | |
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| Complex Fractions | |
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| Solving Equations with Rational Expressions | |
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| Applications of Ratios and Proportions | |
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| Applications of Rational Expressions | |
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| Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
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| Test • Making Connections | |
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| a review of Chapters 1-7 • Critical Thinking | |
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| Powers and Roots | |
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| Roots, Radicals, and Rules | |
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| Simplifying Square Roots<h | |