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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 | |