# Intermediate Algebra (Casebound with CD-ROM, BCA Tutorial, TLE Student Guide, BCA Student Guide, and InfoTrac)

**by**Tussy, Alan S.; Gustafson, R. David

2nd

### 9780534273347

0534273343

Hardcover

12/12/2003

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

A Review of Basic Algebra | p. 1 |

The Real Numbers | |

The Language of Algebra | p. 4 |

The Real Number System | p. 11 |

Operations with Real Numbers | p. 22 |

Simplifying Algebraic Expressions | p. 36 |

Solving Linear Equations and Formulas | p. 47 |

Using Equations to Solve Problems | p. 60 |

More Problem Solving | p. 71 |

Key Concept: Let x = | p. 87 |

Accent on Teamwork | p. 88 |

Chapter Review | p. 89 |

Chapter Test | p. 95 |

Graphs, Equations of Lines, and Functions | p. 97 |

The Rectangular Coordinate System | |

Rate of Change and the Slope of a Line | |

Function Notation | |

The Rectangular Coordinate System | p. 100 |

Graphing Linear Equations | p. 112 |

Rate of Change and the Slope of a Line | p. 124 |

Writing Equations of Lines | p. 137 |

Introduction to Functions | p. 149 |

Graphs of Functions | p. 162 |

Key Concept: Functions | p. 174 |

Accent on Teamwork | p. 175 |

Chapter Review | p. 176 |

Chapter Test | p. 181 |

Cumulative Review Exercises | p. 183 |

Systems of Equations | p. 185 |

Solving Systems of Equations by Graphing | |

Solving Systems by Graphing | p. 188 |

Solving Systems Algebraically | p. 197 |

Systems of Three Equations | p. 211 |

Solving Systems Using Matrices | p. 223 |

Solving Systems Using Determinants | p. 232 |

Key Concept: Systems of Equations | p. 242 |

Accent on Teamwork | p. 243 |

Chapter Review | p. 244 |

Chapter Test | p. 249 |

Cumulative Review Exercises | p. 251 |

Inequalities | p. 253 |

Absolute Value Equations | |

Solving Linear Inequalities | p. 256 |

Solving Compound Inequalities | p. 268 |

Solving Absolute Value Equations and Inequalities | p. 278 |

Linear Inequalities in Two Variables | p. 288 |

Systems of Linear Inequalities | p. 297 |

Key Concept: Inequalities | p. 306 |

Accent on Teamwork | p. 307 |

Chapter Review | p. 308 |

Chapter Test | p. 313 |

Cumulative Review Exercises | p. 315 |

Exponents, Polynomials, and Polynomial Functions | p. 317 |

The Greatest Common Factor and Factoring by Grouping | |

Factoring Trinomials and the Difference of Squares | |

Exponents | p. 320 |

Scientific Notation | p. 329 |

Polynomials and Polynomial Functions | p. 336 |

Multiplying Polynomials | p. 348 |

The Greatest Common Factor and Factoring by Grouping | p. 358 |

The Difference of Two Squares; the Sum and Difference of Two Cubes | p. 365 |

Factoring Trinomials | p. 372 |

Summary of Factoring Techniques | p. 381 |

Solving Equations by Factoring | p. 384 |

Key Concept: Polynomials | p. 394 |

Accent on Teamwork | p. 395 |

Chapter Review | p. 396 |

Chapter Test | p. 401 |

Cumulative Review Exercises | p. 403 |

Rational Expressions, Equations, and Functions | p. 405 |

Solving Rational Equations | |

Rational Functions and Simplifying Rational Expressions | p. 408 |

Multiplying and Dividing Rational Expressions | p. 419 |

Adding and Subtracting Rational Expressions | p. 428 |

Complex Fractions | p. 436 |

Equations Containing Rational Expressions | p. 445 |

Dividing Polynomials | p. 458 |

Proportion and Variation | p. 469 |

Key Concept: Expressions and Equations | p. 483 |

Accent on Teamwork | p. 484 |

Chapter Review | p. 485 |

Chapter Test | p. 491 |

Cumulative Review Exercises | p. 493 |

Radical Expressions, Equations, and Functions | p. 496 |

Simplifying Radical Expressions | |

Radical Equations | |

Radical Expressions and Radical Functions | p. 499 |

Simplifying and Combining Radical Expressions | p. 510 |

Multiplying and Dividing Radical Expressions | p. 519 |

Radical Equations | p. 528 |

Rational Exponents | p. 536 |

Geometric Applications of Radicals | p. 547 |

Key Concept: Radicals | p. 557 |

Accent on Teamwork | p. 558 |

Chapter Review | p. 559 |

Chapter Test | p. 565 |

Cumulative Review Exercises | p. 567 |

Quadratic Equations, Functions, and Inequalities | p. 569 |

The Quadratic Formula | |

Completing the Square | p. 572 |

The Quadratic Formula | p. 582 |

Quadratic Functions and Their Graphs | p. 591 |

Complex Numbers | p. 606 |

The Discriminant and Equations That Can Be Written in Quadratic Form | p. 616 |

Quadratic and Other Nonlinear Inequalities | p. 623 |

Key Concept: Solving Quadratic Equations | p. 631 |

Accent on Teamwork | p. 632 |

Chapter Review | p. 633 |

Chapter Test | p. 639 |

Cumulative Review Exercises | p. 641 |

Exponential and Logarithmic Functions | p. 644 |

Exponential Functions | |

Properties of Logarithms | |

Algebra and Composition of Functions | p. 647 |

Inverses of Functions | p. 654 |

Exponential Functions | p. 664 |

Base-e Exponential Functions | p. 676 |

Logarithmic Functions | p. 684 |

Base-e Logarithms | p. 695 |

Properties of Logarithms | p. 700 |

Exponential and Logarithmic Equations | p. 709 |

Key Concept: Inverse Functions | p. 721 |

Accent on Teamwork | p. 722 |

Chapter Review | p. 723 |

Chapter Test | p. 729 |

Cumulative Review Exercises | p. 731 |

Conic Sections; More Graphing | p. 733 |

Introduction to Conic Sections | |

The Circle and the Parabola | p. 736 |

The Ellipse | p. 747 |

The Hyperbola | p. 756 |

Solving Simultaneous Second-Degree Equations | p. 764 |

Key Concept: Conic Sections | p. 770 |

Accent on Teamwork | p. 771 |

Chapter Review | p. 772 |

Chapter Test | p. 775 |

Cumulative Review Exercises | p. 777 |

Fractions and Decimals | p. 1 |

Cumulative Review of Graphing | p. 13 |

Answers to Selected Exercises (Appears in the Student Edition only) | p. 15 |

Index | p. 1 |

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