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| Note: Each chapter begins with a Prep Test and concludes with a Chapter Summary, Review Exercises, and a Chapter Test | |
| Chapters 2-12 include Cumulative Review Exercises | |
| AIM for Success | |
| Review of Real Numbers | |
| Introduction to Real Numbers | |
| Operations on Rational Numbers | |
| Variable Expressions | |
| Verbal Expressions and Variable Expressions Focus on Problem Solv... MORE | |
| First-Degree Equations and Inequalities | |
| Solving First-Degree Equations | |
| Applications: Puzzle Problems | |
| Applications: Mixture and Uniform Motion Problems | |
| First-Degree Inequalities | |
| Absolute Value Equations and Inequalities Focus on Problem Solving: Understand the Problem Projects and Group Activities: Electricity | |
| Linear Functions and Inequalities in Two Variables | |
| The Rectangular Coordinate System | |
| Introduction to Functions | |
| Linear Functions | |
| Slope of a Straight Line | |
| Finding Equations of Lines | |
| Parallel and Perpendicular Lines | |
| 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 | |
| Systems of Equations and Inequalities | |
| Solving Systems of Linear Equations by Graphing and by the Substitution Method | |
| Solving Systems of Linear Equations by the Addition Method | |
| Solving Systems of Equations by Using Determinants | |
| Application Problems | |
| 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 | |
| Polynomials | |
| Exponential Expressions | |
| Introduction to Polynomial Functions | |
| Multiplication of Polynomials | |
| Division of Polynomials | |
| Factoring Polynomials | |
| Special Factoring | |
| Solving Equations by Factoring Focus on Problem Solving: Find a Counterexample Projects and Group Activities: Astronomical Distances and Scientific Notation | |
| Rational Expressions | |
| Multiplication and Division of Rational Expressions | |
| Addition and Subtraction of Rational Expressions | |
| Complex Fractions | |
| Ratio and Proportion | |
| Rational Equations | |
| Variation Focus on Problem Solving: Implication Projects and Group Activities: Graphing Variation Equations; Transformers | |
| Exponents and Radicals | |
| Rational Exponents and Radical Expressions | |
| Operations on Radical Expressions | |
| Solving Equations Containing Radical Expressions | |
| 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 | |
| Quadratic Equations | |
| Solving Quadratic Equations by Factoring or by Taking Square Roots | |
| Solving Quadratic Equations by Completing the Square | |
| Solving Quadratic Equations by using the Quadratic Formula | |
| Solving Equations That Are Reducible to Quadratic Equations | |
| Quadratic Inequalities and Rational Inequalities | |
| 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 | |
| Functions and Relations | |
| Properties of Quadratic Functions | |
| Graphs of Functions | |
| Algebra of Functions | |
| 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 | |
| Exponential and Logarithmic Functions | |
| Exponential Functions | |
| Introduction to Logarithms | |
| Graphs of Logarithmic Functions | |
| Solving Exponential and Logarithmic Equations | |
| 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 | |
| Conic Sections | |
| The Parabola | |
| The Circle | |
| The Ellipse and the Hyperbola | |
| Solving Non-linear Systems of Equations | |
| 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 | |
| Sequences and Series | |
| Introduction to Sequences and Series | |
| Arithmetic Sequences and Series | |
| Geometric Sequences and Series | |
| Binomial Expansions Focus on Problem Solving: Forming Negations Projects and Group Activities: ISBN and UPC Numbers Final Exam | |
| Keystroke Guide for the TI-83/83 Plus Calculators | |
| 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 | |
| Glossary | |
| Index | |
| Index of Applications | |
| Table of Contents provided by Publisher. All Rights Reserved. |