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Review of Real Numbers | |
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Introduction to Real Numbers | |
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Operations on Rational Numbers | |
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Variable Expressions | |
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Verbal Expressions and Variable Expressions | |
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Focus on Problem Solving | |
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Projects and Group Activities | |
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Chapter Summary | |
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Chapter Review | |
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Chapter Test | |
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First-Degree Equations and Inequalities | |
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Solving First-Degree Equations | |
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Applications: Puzzle Problems | |
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Applications: Mixture and Uniform Motion Problems | |
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First-Degree Inequalities | |
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Absolute Value Equations and Inequalities | |
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Focus on Problem Solving | |
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Projects and Group Activities | |
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Chapter Summary | |
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Chapter Review | |
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Chapter Test | |
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Cumulative Review | |
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Linear Functions 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 Functions | |
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Slope of a Straight Line | |
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Finding Equations of Lines | |
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Parallel and Perpendicular Lines | |
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Inequalities in Two Variables | |
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Focus on Problem Solving | |
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Projects and Group Activities | |
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Chapter Summary | |
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Chapter Review | |
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Chapter Test | |
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Cumulative Review | |
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Systems of 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 | |
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Solving Systems of Linear Inequalities | |
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Focus on Problem Solving | |
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Projects and Group Activities | |
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Chapter Summary | |
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Chapter Review | |
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Chapter Test | |
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Cumulative Review | |
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Polynomials | |
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Exponential Expressions | |
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Introduction to Polynomial Functions | |
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Multiplication of Polynomials | |
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Division of Polynomials | |
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Factoring Polynomials | |
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Special Factoring | |
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Solving Equations by Factoring | |
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Focus on Problem Solving | |
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Projects and Group Activities | |
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Chapter Summary | |
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Chapter Review | |
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Chapter Test | |
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Cumulative Review | |
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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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Ratio and Proportion | |
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Rational Equations | |
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Variation | |
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Focus on Problem Solving | |
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Projects and Group Activities | |
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Chapter Summary | |
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Chapter Review | |
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Chapter Test | |
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Cumulative Review | |
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Exponents and Radicals | |
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Rational Exponents and Radical Expressions | |
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Operations on Radical Expressions | |
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Solving Equations Containing Radical Expressions | |
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Complex Numbers | |
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Focus on Problem Solving | |
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Projects and Group Activities | |
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Chapter Summary | |
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Chapter Review | |
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Chapter Test | |
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Cumulative Review | |
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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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Quadratic Inequalities and Rational Inequalities | |
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Applications of Quadratic Equations | |
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Focus on Problem Solving | |
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Projects and Group Activities | |
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Chapter Summary | |
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Chapter Review | |
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Chapter Test | |
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Cumulative Review | |
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Functions and Relations | |
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Properties of 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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Focus on Problem Solving | |
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Projects and Group Activities | |
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Chapter Summary | |
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Chapter Review | |
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Chapter Test | |
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Cumulative Review | |
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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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Focus on Problem Solving | |
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Projects and Group Activities | |
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Chapter Summary | |
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Chapter Review | |
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Chapter Test | |
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Cumulative Review | |
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Conic Sections | |
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The Parabola | |
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The Circle | |
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The Ellipse and the Hyperbola | |
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Solving Non-linear Systems of Equations | |
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Quadratic Inequalities and Systems of Inequalities | |
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Focus on Problem Solving | |
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Projects and Group Activities | |
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Chapter Summary | |
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Chapter Review | |
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Chapter Test | |
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Cumulative Review | |
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Sequences and Series | |
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Introduction to Sequences and Series | |
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Arithmetic Sequences and Series | |
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Geometric Sequences and Series | |
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Binomial Expansions | |
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Focus on Problem Solving | |
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Projects and Group Activities | |
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Chapter Summary | |
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Chapter Review | |
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Chapter Test | |
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Cumulative Review | |
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Final Examination | |
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Appendix | |
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Keystroke Guide | |
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Proofs of Logarithmic Properties | |
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Proof of the Formula for the Sum of n Terms of an Geometric Series | |
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Proof of the Formula for the Sum of n Terms of an Arithmetic Series | |
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Table of Symbols | |
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Table of Measurement Abbreviations | |
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Solutions to You Try Its | |
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Answers to Odd-Numbered Exercises | |
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Glossary | |
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Index | |