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| Note: Each chapter begins with a Prep Test and concludes with a Chapter Summary, Review Exercises, and a Chapter Test | |
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| Chapters 2-12 include Cumulative Review Exercises | |
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| AIM for Success | |
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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 Focus on Problem Solving: Polya's Four-Step Process Projects and Group Activities: Water Displacement | |
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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 Focus on Problem Solving: Understand the Problem Projects and Group Activities: Electricity | |
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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 Focus on Problem Solving: Find a Pattern Projects and Group Activities: Evaluating a Function with a Graphing Calculator; Introduction to Graphing Calculators; Wind-Chill Index | |
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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 Focus on Problem Solving: Solve an Easier Problem Projects and Group Activities: Using a Graphing Calculator to Solve a System of Equations | |
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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 Focus on Problem Solving: Find a Counterexample Projects and Group Activities: Astronomical Distances and Scientific Notation | |
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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 Focus on Problem Solving: Implication Projects and Group Activities: Graphing Variation Equations; Transformers | |
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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 Focus on Problem Solving: Another Look at Polya's Four-Step Process Projects and Group Activities: Solving Radical Equations with a Graphing Calculator; The Golden Rectangle | |
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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 Focus on Problem Solving: Inductive and Deductive Reasoning Projects and Group Activities: Using a Graphing Calculator to Solve a Quadratic Equation | |
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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 Focus on Problem Solving: Proof in Mathematics Projects and Group Activities: Finding the Maximum or Minimum of a Function Using a Graphing Calculator; Business Applications of Maximum and Minimum Values of Quadratic Functions | |
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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 Focus on Problem Solving: Proof by Contradiction Projects and Group Activities: Solving Exponential and Logarithmic Equations Using a Graphing Calculator; Credit Reports and FICO Scores | |
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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 Focus on Problem Solving: Using a Variety of Problem-Solving Techniques Projects and Group Activities: The Eccentricity and Foci of an Ellipse; Graphing Conic Sections Using a Graphing Calculator | |
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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 Focus on Problem Solving: Forming Negations Projects and Group Activities: ISBN and UPC Numbers Final Exam | |
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| Keystroke Guide for the TI-83/83 Plus Calculators | |
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| Proofs of Logarithmic Properties Proof of the Formula for the Sum of n Terms of an Geometric Series Proof of the Formula for the Sum of n Terms of an Arithmetic Series Table of Symbols Table of Properties Table of Algebraic and Geometric Formulas Solutions to You Try Its Answers to Selected Exercises | |
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| Glossary | |
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| Index | |
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| Index of Applications | |