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Note: Each chapter begins with a Prep Test and includes a Chapter Summary, Chapter Review Exercises, and a Chapter Test | |
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Chapters 210 conclude with Cumulative Review Exercises | |
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Fundamental Concepts | |
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Problem Solving | |
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Sets | |
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Operations on Integers | |
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Operations on Rational Numbers | |
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Evaluating Variable Expressions | |
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Simplifying Variable Expressions | |
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Introduction to Functions and Relations | |
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Rectangular Coordinates and Graphs | |
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Relations and Functions | |
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Properties of Functions | |
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First-Degree Equations and Inequalities | |
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Solving First-Degree Equations | |
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Applications of First-Degree Equations | |
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Applications to Geometry | |
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Inequalities in One Variable | |
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Absolute Value Equations and Inequalities | |
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Linear Functions | |
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Slopes and Graphs of Linear Functions | |
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Finding Equations of Straight Lines | |
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Linear Regression | |
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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 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 Linear Equations Using Matrices | |
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Systems of Linear Inequalities | |
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Polynomials | |
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Operations on Monomials and Scientific Notation | |
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Addition and Subtraction of Polynomials | |
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Multiplication and Division of Polynomials | |
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Factoring | |
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Common Factors of a Polynomial | |
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Factoring Trinomials of the Form ax2 + bx + c | |
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Special Factoring | |
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Solving Equations by factoring | |
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Rational Expressions and Equations | |
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Introduction to Rational Expressions | |
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Operations on Rational Expressions | |
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Rational Equations | |
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Proportions and Similar Triangles | |
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Radical Expressions and Rational Exponents | |
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Rational Exponents and Radical Expressions | |
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Simplifying Radical Expressions | |
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The Pythagorean Theorem | |
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Operations on Radical Expressions | |
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Radical Functions | |
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Solving Radical Equations | |
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Complex Numbers | |
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Quadratic Functions and Quadratic Inequalities | |
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Introduction to Quadratic Equations | |
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Solving Quadratic Equations by Taking Square Roots and by Completing the Square | |
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Solving Quadratic Equations by Using the Quadratic Formula and by Graphing | |
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Equations That Are Quadratic in Form | |
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Quadratic Functions | |
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Quadratic Inequalities | |
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Exponential and Logarithmic Functions | |
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Algebra of Functions | |
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Inverse Functions | |
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Exponential Functions | |
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Exponential Models and Exponential Regression | |
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Logarithmic Functions | |
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Properties of Logarithms | |
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Exponential and Logarithmic Equations | |
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Review of Introductory Algebra Topics | |
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Variable Expressions | |
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Equations and Inequalities | |
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Linear Equatinos in Two Variables | |
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Polynomials | |
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Keystroke Guide for the TI-83 and TI-83 Plus | |