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# Intermediate Algebra : With CD-ROM, Make the Grade, and InfoTrac

**by**TUSSY/GUSTAFSON

2nd

### 9780534436193

0534436196

Paperback

8/24/2001

Brooks Cole

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## Summary

When asked to describe his philosophy and approach, Alan Tussy responded: "In writing INTERMEDIATE ALGEBRA, our goal was to develop a 'new generation' mathematics textbook targeted for today's algebra student. Our book is, at its heart, an interactive 'learning system.'" It has been designed to present the material, reinforce major concepts, and test student understanding using a variety of instructional methods and features.

## Table of Contents

1. A REVIEW OF BASIC ALGEBRA | |

Describing Numerical Relationships | |

The Real Number System | |

Operations with Real Numbers | |

Simplifying Algebraic Expressions | |

Solving Linear Equations and Formulas | |

Using Equations to Solve Problems | |

More Applications of Equations | |

Key Concept: "Let x =" | |

Accent on Teamwork | |

Chapter Review | |

Chapter Test | |

2. GRAPHS, EQUATIONS OF LINES, AND FUNCTIONS | |

The Rectangular Coordinate System | |

Graphing Linear Equations | |

Rate of Change and the Slope of a Line | |

Writing Equations of Lines | |

Introduction to Functions | |

Graphs of Functions | |

Key Concept: Functions | |

Accent on Teamwork | |

Chapter Review | |

Chapter Test | |

Cumulative Review Exercises | |

3. SYSTEMS OF EQUATIONS | |

Solving Systems by Graphing | |

Solving Systems Algebraically | |

Systems with Three Variables | |

Solving Systems Using Matrices | |

Solving Systems Using Determinants | |

Key Concept: Systems of Equations | |

Accent on Teamwork | |

Chapter Review | |

Chapter Test | |

4. INEQUALITIES | |

Solving Linear Inequalities | |

Solving Compound Inequalities | |

Solving Absolute Value Equations and Inequalities | |

Linear Inequalities in Two Variables | |

Systems of Linear Inequalities | |

Key Concept: Inequalities | |

Accent on Teamwork | |

Chapter Review | |

Chapter Test | |

Cumulative Review Exercises | |

5. EXPONENTS, POLYNOMIALS, AND POLYNOMIAL FUNCTIONS | |

Exponents | |

Scientific Notation | |

Polynomials and Polynomial Functions | |

Multiplying Polynomials | |

The Greatest Common Factor and Factoring by Grouping | |

The Difference of Two Squares; the Sum and Difference of Two Cubes | |

Factoring Trinomials | |

Summary of Factoring Techniques | |

Solving Equations by Factoring | |

Key Concept: Polynomials | |

Accent on Teamwork | |

Chapter Review | |

Chapter Test | |

6. RATIONAL EXPRESSIONS | |

Rational Functions and Simplifying Rational Expressions | |

Proportion and Variation | |

Multiplying and Dividing Rational Expressions | |

Adding and Subtracting Rational Expressions | |

Complex Fractions | |

Equations Containing Rational Expressions | |

Dividing Polynomials | |

Key Concept: Expressions and Equations | |

Accent on Teamwork | |

Chapter Review | |

Chapter Test | |

Cumulative Review Exercises | |

7. RADICALS AND RATIONAL EXPONENTS | |

Radical Expressions and Radical Functions | |

Radical Equations | |

Rational Exponents | |

Simplifying and Combining Radical Expressions | |

Multiplying and Dividing Radical Expressions | |

Geometric Applications of Radicals | |

Key Concept: Radicals | |

Accent on Teamwork | |

Chapter Review | |

Chapter Test | |

8. QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES | |

Completing the Square | |

The Quadratic Formula | |

Quadratic Functions and Their Graphs | |

Complex Numbers | |

The Discriminant and Equations That Can Be Written in Quadratic Form | |

Quadratic and Other Nonlinear Inequalities | |

Key Concept: Solving Quadratic Equations | |

Accent on Teamwork | |

Chapter Review | |

Chapter Test | |

Cumulative Review Exercises | |

9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS | |

Algebra and Composition of Functions | |

Inverses of Functions | |

Exponential Functions | |

Base-e Exponential Functions | |

Logarithmic Functions | |

Base-e Logarithms | |

Properties of Logarithms | |

Exponential and Logarithmic Equations | |

Key Concept: Inverse Functions | |

Accent on Teamwork | |

Chapter Review | |

Chapter Test | |

10. CONIC SECTIONS; MORE GRAPHING | |

The Circle and the Parabola | |

The Ellipse | |

The Hyperbola | |

Solving Simultaneous Second-Degree Equations | |

Key Concept: Conic Sections | |

Accent on Teamwork | |

Chapter Review | |

Chapter Test | |

11. MISCELLANEOUS TOPICS | |

The Binomial Theorem | |

Arithmetic Sequences | |

Geometric Sequences | |

Permutations and Combinations | |

Probability | |

Key Concept: The Language of Algebra | |

Accent on Teamwork | |

Chapter Review | |

Chapter Test | |

Cumulative Review Exercises | |

Appendix I: Numerical Trigonometry | |

Appendix II: Synthetic Division | |

Appendix III: Tables | |

A | |

Powers and Roots | |

B | |

Base-10 Logarithms | |

C | |

Base-e Logarithms | |

Appendix IV: Answers To Selected Exercises | |

Index |