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# Elementary Algebra: Concepts and Applications

**by**Bittinger, Marvin L.; Ellenbogen, David J.

6th

### 9780201719659

0201719657

Hardcover

1/1/2002

Addison Wesley

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## Summary

The Sixth Edition of Elementary Algebra: Concepts and Applications continues to bring your students a best-selling text that incorporates the five-step problem-solving process, real-world applications, proven pedagogy, and an accessible writing style. The Bittinger/Ellenbogen hardback series has consistently provided teachers and students with the tools needed to succeed in developmental mathematics. With this revision, the authors have maintained all the hallmark features that have made this series so successful, including its five-step problem-solving process, student-oriented writing style, real-data applications, and wide variety of exercises. Among the features added or revised are new Aha! exercises that encourage students to think before jumping in to solve a problem, 20% new real-data applications, and 50% more Skill Maintenance Exercises . This series not only provides students with the tools necessary to learn and understand math, but also provides them with insights into how math works in the world around them.

## Table of Contents

Preface | p. xi |

Introduction to Algebraic Expressions | |

Introduction to Algebra | p. 2 |

The Commutative, Associative, and Distributive Laws | p. 11 |

Fraction Notation | p. 18 |

Positive and Negative Real Numbers | p. 26 |

Addition of Real Numbers | p. 34 |

Subtraction of Real Numbers | p. 41 |

Multiplication and Division of Real Numbers | p. 48 |

Exponential Notation and Order of Operations | p. 55 |

Connecting the Concepts | p. 61 |

Summary and Review | p. 64 |

Test | p. 66 |

Equations, Inequalities, and Problem Solving | |

Solving Equations | p. 70 |

Using the Principles Together | p. 77 |

Connecting the Concepts | p. 77 |

Formulas | p. 85 |

Applications with Percent | p. 91 |

Problem Solving | p. 98 |

Solving Inequalities | p. 109 |

Solving Applications with Inequalities | p. 117 |

Summary and Review | p. 125 |

Test | p. 127 |

Introduction to Graphing | |

Reading Graphs, Plotting Points, and Estimating Values | p. 130 |

Graphing Linear Equations | p. 142 |

Graphing and Intercepts | p. 152 |

Rates | p. 161 |

Slope | p. 170 |

Connecting the Concepts | p. 177 |

Slope-Intercept Form | p. 183 |

Point-Slope Form | p. 191 |

Summary and Review | p. 196 |

Test | p. 198 |

Cumulative Review: Chapters 1-3 | p. 199 |

Polynomials | |

Exponents and Their Properties | p. 202 |

Polynomials | p. 210 |

Addition and Subtraction of Polynomials | p. 218 |

Connecting the Concepts | p. 220 |

Multiplication of Polynomials | p. 227 |

Special Products | p. 235 |

Polynomials in Several Variables | p. 244 |

Division of Polynomials | p. 253 |

Negative Exponents and Scientific Notation | p. 258 |

Summary and Review | p. 268 |

Test | p. 271 |

Polynomials and Factoring | |

Introduction to Factoring | p. 274 |

Factoring Trinomials of the Type x[superscript 2] + bx + c | p. 281 |

Factoring Trinomials of the Type ax[superscript 2] + bx + c | p. 289 |

Factoring Perfect-Square Trinomials and Differences of Squares | p. 298 |

Factoring: A General Strategy | p. 305 |

Connecting the Concepts | p. 305 |

Solving Quadratic Equations by Factoring | p. 311 |

Connecting the Concepts | p. 311 |

Solving Applications | p. 319 |

Summary and Review | p. 328 |

Test | p. 330 |

Rational Expressions and Equations | |

Rational Expressions | p. 332 |

Multiplication and Division | p. 339 |

Addition, Subtraction, and Least Common Denominators | p. 346 |

Addition and Subtraction with Unlike Denominators | p. 355 |

Complex Rational Expressions | p. 363 |

Solving Rational Equations | p. 369 |

Connecting the Concepts | p. 369 |

Applications Using Rational Equations and Proportions | p. 375 |

Summary and Review | p. 387 |

Test | p. 390 |

Cumulative Review: Chapters 1-6 | p. 391 |

Systems and More Graphing | |

Systems of Equations and Graphing | p. 394 |

Systems of Equations and Substitution | p. 400 |

Systems of Equations and Elimination | p. 407 |

More Applications Using Systems | p. 415 |

Connecting the Concepts | p. 415 |

Linear Inequalities in Two Variables | p. 425 |

Systems of Linear Inequalities | p. 431 |

Direct and Inverse Variation | p. 434 |

Summary and Review | p. 440 |

Test | p. 443 |

Radical Expressions and Equations | |

Introduction to Square Roots and Radical Expressions | p. 446 |

Multiplying and Simplifying Radical Expressions | p. 453 |

Quotients Involving Square Roots | p. 458 |

More Operations with Radicals | p. 463 |

Radical Equations | p. 467 |

Connecting the Concepts | p. 467 |

Applications Using Right Triangles | p. 475 |

Higher Roots and Rational Exponents | p. 482 |

Summary and Review | p. 487 |

Test | p. 489 |

Quadratic Equations | |

Solving Quadratic Equations: The Principle of Square Roots | p. 492 |

Solving Quadratic Equations: Completing the Square | p. 497 |

The Quadratic Formula and Applications | p. 503 |

Connecting the Concepts | p. 506 |

Formulas and Equations | p. 512 |

Connecting the Concepts | p. 513 |

Complex Numbers as Solutions of Quadratic Equations | p. 519 |

Graphs of Quadratic Equations | p. 522 |

Functions | p. 528 |

Summary and Review | p. 538 |

Test | p. 540 |

Cumulative Review: Chapters 1-9 | p. 541 |

Sets | p. 545 |

Factoring Sums or Differences of Cubes | p. 549 |

Fractional and Decimal Equivalents | p. 553 |

Squares and Square Roots | p. 554 |

Geometric Formulas | p. 555 |

Answers | p. 1 |

Glossary | p. 1 |

Index | p. 1 |

Index of Applications | |

Videotape Index | |

Table of Contents provided by Syndetics. All Rights Reserved. |