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Note: Each chapter begins with a Prep Test and concludes with Focus on Problem Solving, Projects and Group Activities, a Chapter Summary, a Chapter Review, and a Chapter Test. Chapters 212 include a Cumulative Review | |
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Real Numbers and Variable Expressions | |
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Integers | |
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Rational and Irrational Numbers | |
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The Order of Operations Agreement | |
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Variable Expressions | |
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Sets | |
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First-Degree Equations and Inequalities | |
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Introduction to Equations | |
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General Equations | |
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Mixture, Investment, and Motion Problems | |
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Inequalities in One Variable | |
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Absolute Value Equations and Inequalities | |
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Geometry | |
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Introduction to Geometry | |
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Plane Geometric Figures | |
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Solids | |
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Linear Equations and Inequalities in Two Variables | |
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The Rectangular Coordinate System | |
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Introduction to Functions | |
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Linear Equations in Two Variables | |
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Slopes of Straight Lines | |
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Finding Equations of Lines | |
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Parallel and Perpendicular Lines | |
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Graphing Linear Inequalities | |
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Systems of Linear Equations and Inequalities | |
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Solving Systems of Linear Equations by Graphing and by the Substitution Method | |
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Solving Systems of Linear Equations by the Addition Method | |
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Solving Systems of Equations by Using Determinants | |
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Application Problems in Two Variables | |
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Solving Systems of Linear Inequalities | |
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Polynomials | |
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Exponential Expressions | |
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Introduction to Polynomials | |
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Multiplication of Polynomials | |
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Division of Polynomials | |
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Factoring | |
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Common Factors | |
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Factoring Polynomials of the Form x2 + bx + c | |
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Factoring Polynomials of the Form ax2 + bx + c | |
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Special Factoring | |
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Solving Equations | |
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Rational Expressions | |
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Multiplication and Division of Rational Expressions | |
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Addition and Subtraction of Rational Expressions | |
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Complex Fractions | |
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Rational Equations | |
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Literal Equations | |
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Work and Uniform Motion Problems | |
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Variation | |
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Rational Exponents and Radicals | |
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Rational Exponents and Radical Expressions | |
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Operations on Radical Expressions | |
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Complex Numbers | |
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Equations Containing Radical Expressions | |
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Quadratic Equations | |
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Solving Quadratic Equations by Factoring or by Taking Square Roots | |
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Solving Quadratic Equations by Completing the Square | |
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Solving Quadratic Equations by Using the Quadratic Formula | |
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Solving Equations That Are Reducible to Quadratic Equations | |
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Applications of Quadratic Equations | |
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Quadratic Inequalities and Rational Inequalities | |
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Functions and Relations | |
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Linear Functions | |
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Quadratic Functions | |
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Graphs of Functions | |
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Algebra of Functions | |
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One-to-One and Inverse Functions | |
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Conic Sections | |
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Exponential and Logarithmic Functions | |
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Exponential Functions | |
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Introduction to Logarithms | |
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Graphs of Logarithmic Functions | |
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Solving Exponential and Logarithmic Equations | |
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Applications of Exponential and Logarithmic Functions | |
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Final Exam Review of Introductory Algebra Topics | |
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Variable Expressions | |
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Equations and Inequalities | |
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Linear Equations in Two Variables | |
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Polynomials | |
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Appendix: Calculator Guide for the TI-83 and TI83Plus | |
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Proofs and Tables Solutions to You Try It | |
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Answers to Selected Exercises | |
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Glossary | |
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Index | |