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| To the student preface | |
| Real Numbers and Their Properties | |
| The Real Numbers | |
| Fractions | |
| Addition and Subtraction of Real Numbers | |
| Multiplication and Division of Real Numbers | |
| Exponential Expressions and the Order of Operations | |
| Algebraic Expressions | |
| Properties of the Real Numbers | |
| Using the Properties to Sim... MORE | |
| Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
| Test • Critical Thinking | |
| Linear Equations and Inequalities in One Variable | |
| The Addition and Multiplication Properties of Equality | |
| Solving General Linear Equations | |
| More Equations | |
| Formulas | |
| Translating Verbal Expressions into Algebraic Expressions | |
| Number, Geometric, and Uniform Motion Applications | |
| Discount, Investment, and Mixture Applications | |
| Inequalities | |
| Solving Inequalities and Applications | |
| Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
| Test • Making Connections | |
| A review of Chapters 1-2 • Critical Thinking | |
| Linear Equations and Inequalities in Two Variables | |
| Graphing Lines in the Coordinate Plane | |
| Slope | |
| Equations of Lines in Slope-Intercept Form | |
| The Point-Slope Form | |
| Variations | |
| Graphing Linear Inequalities in Two Variables | |
| Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
| Test • Making Connections | |
| a review of Chapters 1-3 • Critical Thinking | |
| Exponents and Polynomials | |
| The Rules of Exponents | |
| Negative Exponents and Scientific Notation | |
| Addition and Subtraction of Polynomials | |
| Multiplication of Polynomials | |
| Multiplication of Binomials | |
| Special Products | |
| Division of Polynomials | |
| Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
| Test • Making Connections | |
| a review of Chapters 1-4 • Critical Thinking | |
| Factoring | |
| Factoring Out Common Factors | |
| Special Products and Grouping | |
| Factoring the Trinomial ax² + bx + c with a = 1 | |
| Factoring the Trinomial ax² + bx + c with a ¿ 1 | |
| The Factoring Strategy | |
| Solving Quadratic Equations by Factoring | |
| Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
| Test • Making Connections | |
| a review of Chapters 1-5 • Critical Thinking | |
| Rational Expressions | |
| Reducing Rational Expressions | |
| Multiplication and Division | |
| Finding the Least Common Denominator | |
| Addition and Subtraction | |
| Complex Fractions | |
| Solving Equations with Rational Expressions | |
| Applications of Ratios and Proportions | |
| Applications of Rational Expressions | |
| Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
| Test • Making Connections | |
| a review of Chapters 1-6 • Critical Thinking | |
| Systems of Linear Equations | |
| Solving Systems by Graphing and Substitution | |
| The Addition Method | |
| Systems of Linear Equations in Three Variables | |
| Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
| Test • Making Connections | |
| a review of Chapters 1-7 • Critical Thinking | |
| More on Inequalities | |
| Compound Inequalities in One Variable | |
| Absolute Value Equations and Inequalities | |
| Compound Inequalities in Two Variables | |
| Linear Programming | |
| Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
| Test • Making Connections | |
| a review of Chapters 1-8 • Critical Thinking | |
| Radicals and Rational Exponents | |
| Radicals | |
| Rational Exponents | |
| Adding, Subtracting, and Multiplying Radicals | |
| Quotients, Powers, and Rationalizing Denominators | |
| Solving Equations with Radicals and Exponents | |
| Complex Numbers | |
| Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
| Test • Making Connections | |
| a review of Chapters 1-9 • Critical Thinking | |
| Quadratic Equations and Inequalities | |
| Factoring and Completing the Square | |
| The Quadratic Formula | |
| More on Quadratic Equations | |
| Graphing Parabolas | |
| Quadratic and Rational Inequalities | |
| Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
| Test • Making Connections | |
| a review of Chapters 1-10 • Critical Thinking | |
| Functions | |
| Functions and Relations | |
| Graphs of Functions and Relations | |
| Transformations of Graphs | |
| Graphs of Polynomial Functions | |
| Graphs of Rational Functions | |
| Combining Functions | |
| Inverse Functions | |
| Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
| Test • Making Connections | |
| a review of Chapters 1-11 • Critical Thinking | |
| Exponential and Logarithmic Functions | |
| Exponential Functions and Their Applications | |
| Logarithmic Functions and Their Applications | |
| Properties of Logarithms | |
| Solving Equations and Applications | |
| Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
| Test • Making Connections | |
| a review of Chapters 1-12 • Critical Thinking | |
| Nonlinear Systems and the Conic Sections | |
| Nonlinear Systems of Equations | |
| The Parabola | |
| The Circle | |
| The Ellipse and Hyperbola | |
| Second-Degree Inequalities | |
| Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
| Test • Making Connections | |
| a review of Chapters 1-13 • Critical Thinking | |
| Sequences and Series | |
| Sequences | |
| Series | |
| Arithmetic Sequences and Series | |
| Geometric Sequences and Series | |
| Binomial Expansions | |
| Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
| Test • Making Connections | |
| A Review of Chapter 1-14 • Critical Thinking | |
| Geometry Review Exercises | |
| Sets | |
| Chapters 1-6 Diagnostic Test | |
| Chapters 1-6 Review Answers to | |
| Selected Exercises | |
| Index | |
| Table of Contents provided by Publisher. All Rights Reserved. |