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| Preface | |
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| To the Student | |
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| About the Author | |
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| Applications Index | |
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| The Real Number System | |
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| Fractions | |
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| The Real Numbers | |
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| Ordered Pairs and Graphs | |
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| Basic Rules of Algebra | |
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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, Order of Operations, and Mathematical Models | |
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| Linear Equations and Inequalities in One Variable | |
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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 | |
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| Formulas and Percents | |
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| An Introduction to Problem Solving | |
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| Solving Linear Inequalities | |
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| Problem Solving | |
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| Further Problem Solving | |
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| Ratio and Proportion | |
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| Problem Solving in Geometry | |
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| Linear Equations and Inequalities in Two Variables | |
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| Graphing Linear Equations | |
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| Graphing Linear Equations Using Intercepts | |
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| Slope | |
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| The Slope-Intercept Form of the Equation of a Line | |
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| The Point-Slope Form of the Equation of a Line | |
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| Linear Inequalities in Two Variables | |
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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 by the Substitution Method | |
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| Solving Systems of Linear Equations by the Addition Method | |
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| Problem Solving Using Systems of Equations | |
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| Systems of Linear Inequalities | |
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| Exponents and Polynomials | |
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| Adding and Subtracting Polynomials | |
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| Multiplying Polynomials | |
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| Special Products | |
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| Polynomials in Several Variables | |
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| Dividing Polynomials | |
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| Dividing Polynomials by Binomials | |
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| Negative Exponents and Scientific Notation | |
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| Factoring Polynomials | |
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| The Greatest Common Factor and Factoring by Grouping | |
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| Factoring Trinomials Whose Leading Coefficient Is One | |
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| Factoring Trinomials Whose Leading Coefficient Is Not One | |
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| Factoring Special Forms | |
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| A General Factoring Strategy | |
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| Solving Quadratic Equations by Factoring | |
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| Rational Expressions | |
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| Rational Expressions and Their Simplification | |
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| Multiplying and Dividing Rational Expressions | |
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| Adding and Subtracting Rational Expressions with the Same Denominator | |
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| Adding and Subtracting Rational Expressions with Different Denominators | |
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| Complex Rational Expressions | |
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| Solving Rational Equations | |
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| Applications Using Rational Equations and Variation | |
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| Roots and Radicals | |
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| Finding Roots | |
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| Multiplying and Dividing Radicals | |
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| Operations with Radicals | |
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| Rationalizing the Denominator | |
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| Radical Equations | |
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| Rational Exponents | |
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| Quadratic Equations and Functions | |
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| Solving Quadratic Equations by the Square Root Property | |
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| Solving Quadratic Equations by Completing the Square | |
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| The Quadratic Formula | |
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| Imaginary Numbers as Solutions of Quadratic Equations | |
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| Graphs of Quadratic Equations | |
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| Introduction to Functions | |
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| Answers to Selected Exercises | |
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| Subject Index | |
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| Photo Credits | |