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The Integers | |
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What Is Algebra? Introduction and Basic Notation | |
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Integers | |
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Adding Integers | |
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Subtracting Integers | |
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Multiplying and Dividing Integers | |
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The Real Number System | |
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Chapter 1 Summary | |
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Chapter 1 Review Exercises | |
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Chapter 1 Practice Test | |
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Algebraic Expressions | |
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Variables and Exponents | |
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Algebraic Substitution | |
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The Distributive Property and Combining Like Terms | |
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Simplifying Algebraic Expressions | |
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Translating Phrases and Sentences Algebraically | |
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Chapter 2 Summary | |
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Chapter 2 Review Exercises | |
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Chapter 2 Practice Test | |
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First-Degree Equations and Inequalities | |
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Types of Equations | |
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Solving First-Degree Equations in One Variable and Applications | |
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More First-Degree Equations and Applications | |
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Types of Inequalities and Basic Properties of Inequalities | |
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Solving First-Degree Inequalities in One Variable and Applications | |
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Chapter 3 Summary | |
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Chapter 3 Review Exercises | |
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Chapter 3 Practice Test | |
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Chapters 1-3 Cumulative Review | |
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Chapters 1-3 Cumulative Practice Test | |
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Rational Expressions | |
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Fundamental Principle of Fractions | |
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Multiplying and Dividing Rational Expressions | |
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Adding and Subtracting Rational Expressions | |
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Solving Fractional Equations and Inequalities | |
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Ratio and Proportion | |
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Applications | |
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Chapter 4 Summary | |
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Chapter 4 Review Exercises | |
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Chapter 4 Practice Test | |
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Graphing Straight Lines | |
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The Rectangular (Cartesian) Coordinate System | |
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Graphing a Linear Equation in Two Variables | |
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The Slope | |
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The Equation of a Line | |
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Chapter 5 Summary | |
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Chapter 5 Review Exercises | |
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Chapter 5 Practice Test | |
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Interpreting Graphs and Systems of Linear Equations | |
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Interpreting Graphs | |
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Solving Systems of Linear Equations: Graphical Method | |
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Solving Systems of Linear Equations: Algebraic Methods | |
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Applications | |
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Chapter 6 Summary | |
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Chapter 6 Review Exercises | |
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Chapter 6 Practice Test | |
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Chapters 4-6 Cumulative Review | |
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Chapters 4-6 Cumulative Practice Test | |
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Exponents and Polynomials | |
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Exponent Rules | |
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Zero and Negative Exponents | |
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Scientific Notation | |
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Introduction to Polynomials | |
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Multiplying Polynomials | |
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Special Products | |
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Chapter 7 Summary | |
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Chapter 7 Review Exercises | |
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Chapter 7 Practice Test | |
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Factoring | |
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Common Factors | |
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Factoring Trinomials | |
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More Factoring | |
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Solving Polynomial Equations by Factoring | |
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Dividing Polynomials | |
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Chapter 8 Summary | |
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Chapter 8 Review Exercises | |
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Chapter 8 Practice Test | |
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More Rational Expressions | |
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Reducing Rational Expressions | |
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Multiplying and Dividing Rational Expressions | |
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Adding and Subtracting Rational Expressions | |
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Fractional Equations | |
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Literal Equations | |
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Applications | |
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Chapter 9 Summary | |
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Chapter 9 Review Exercises | |
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Chapter 9 Practice Test | |
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Chapters 7-9 Cumulative Review | |
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Chapters 7-9 Cumulative Practice Test | |
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Radical Expressions and Equations | |
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Definitions and Basic Notation | |
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Properties of Radicals and Simplest Radical Form | |
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Adding and Subtracting Radical Expressions | |
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Multiplying and Dividing Radical Expressions | |
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Radical Equations | |
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Chapter 10 Summary | |
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Chapter 10 Review Exercises | |
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Chapter 10 Practice Test | |
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Quadratic Equations | |
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The Factoring and Square Root Methods | |
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The Method of Completing the Square | |
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The Quadratic Formula | |
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Choosing a Method | |
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Applications | |
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Graphing Quadratic Equations | |
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Chapter 11 Summary | |
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Chapter 11 Review Exercises | |
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Chapter 11 Practice Test | |
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Chapters 10-11 Cumulative Review | |
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Chapters 10-11 Cumulative Practice Test | |
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Geometry | |
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Angles | |
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Triangles | |
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Congruence | |
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Similarity | |
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Quadrilaterals | |
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Perimeter and Area | |
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Circles | |
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Solid Geometry | |
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Chapter G Review Exercises | |
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Chapter G Practice Test | |
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Appendixes | |
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A Review of Arithmetic | |
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Fractions | |
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Multiplying and Dividing Fractions | |
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Adding and Subtracting Fractions | |
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Decimals | |
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Percents | |
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Using a Scientific Calculator | |
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Using a Graphing Calculator | |
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Introduction to Functions | |
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Answers to Selected Exercises and Chapter Tests | |
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Index | |