Elementary Algebra : Concepts and Applications

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

Edition:

7th

ISBN13:

9780321233882

ISBN10:

0321233883

Format:

Hardcover

Pub. Date:

1/1/2006

Publisher(s):

Addison Wesley

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Summary

Normal 0 false false false MicrosoftInternetExplorer4 The goal ofElementary Algebra: Concepts and Applications,7e is to help todayrs"s students learn and retain mathematical concepts by preparing them for the transition from "skills-oriented" elementary algebra courses to more "concept-oriented" college-level mathematics courses, as well as to make the transition from "skill" to "application." This edition 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 series has consistently provided teachers and students with the tools needed to succeed in developmental mathematics. This edition has an even stronger focus on vocabulary and conceptual understanding as well as making the mathematics more accessible to students. Among the features added are newConcept Reinforcementexercises, Student Notes that help students avoid common mistakes, and Study Summaries that highlight the most important concepts and terminology from each chapter. Introduction to Algebraic Expressions; Equations, Inequalities, and Problem Solving; Introduction to Graphing; Polynomials; Polynomials and Factoring; Rational Expressions and Equations; Systems and More Graphing; Radical Expressions and Equations; Quadratic Equations For all readers interested in elementary algebra.

Introduction to Algebraic Expressions

Introduction to Algebra

(11)

The Commutative, Associative, and Distributive Laws

(7)

Fraction Notation

(10)

Positive and Negative Real Numbers

(9)

Addition of Real Numbers

(7)

Subtraction of Real Numbers

(8)

Multiplication and Division of Real Numbers

(9)

Exponential Notation and Order of Operations

(17)

Study Summary

(1)

Review Exercises

(3)

Test

(2)

Equations, Inequalities, and Problem Solving

Solving Equations

(9)

Using the Principles Together

(8)

Formulas

(7)

Applications with Percent

104

(10)

Problem Solving

114

(13)

Solving Inequalities

127

(8)

Solving Applications with Inequalities

135

(13)

Study Summary

143

(1)

Review Exercises

144

(2)

Test

146

(2)

Introduction to Graphing

Reading Graphs, Plotting Points, and Scaling Graphs

148

(11)

Graphing Linear Equations

159

(10)

Graphing and Intercepts

169

(8)

Rates

177

(10)

Slope

187

(14)

Slope--Intercept Form

201

(8)

Point--Slope Form

209

(17)

Study Summary

219

(1)

Review Exercises

219

(3)

Test

222

(1)

Cumulative Review: Chapters 1--3

223

(3)

Polynomials

Exponents and Their Properties

226

(9)

Polynomials

235

(9)

Addition and Subtraction of Polynomials

244

(9)

Multiplication of Polynomials

253

(8)

Special Products

261

(9)

Polynomials in Several Variables

270

(9)

Division of Polynomials

279

(5)

Negative Exponents and Scientific Notation

284

(16)

Study Summary

294

(1)

Review Exercises

295

(3)

Test

298

(2)

Polynomials and Factoring

Introduction to Factoring

300

(8)

Factoring Trinomials of the Type x2 + bx + c

308

(9)

Factoring Trinomials of the Type ax2 + bx + c

317

(9)

Factoring Perfect-Square Trinomials and Differences of Squares

326

(8)

Factoring: A General Strategy

334

(6)

Solving Quadratic Equations by Factoring

340

(8)

Solving Applications

348

(16)

Study Summary

359

(1)

Review Exercises

360

(1)

Test

361

(3)

Rational Expressions and Equations

Rational Expressions

364

(7)

Multiplication and Division

371

(6)

Addition, Subtraction, and Least Common Denominators

377

(10)

Addition and Subtraction with Unlike Denominators

387

(9)

Complex Rational Expressions

396

(6)

Solving Rational Equations

402

(8)

Applications Using Rational Equations and Proportions

410

(20)

Study Summary

423

(1)

Review Exercises

424

(2)

Test

426

(1)

Cumulative Review: Chapters 1--6

427

(3)

Systems and More Graphing

Systems of Equations and Graphing

430

(7)

Systems of Equations and Substitution

437

(7)

Systems of Equations and Elimination

444

(9)

More Applications Using Systems

453

(11)

Linear Inequalities in Two Variables

464

(5)

Systems of Linear Inequalities

469

(3)

Direct and Inverse Variation

472

(12)

Study Summary

479

(1)

Review Exercises

480

(2)

Test

482

(2)

Radical Expressions and Equations

Introduction to Square Roots and Radical Expressions

484

(8)

Multiplying and Simplifying Radical Expressions

492

(6)

Quotients Involving Square Roots

498

(5)

Radical Expressions with Several Terms

503

(5)

Radical Equations

508

(7)

Applications Using Right Triangles

515

(8)

Higher Roots and Rational Exponents

523

(11)

Study Summary

529

(1)

Review Exercises

530

(2)

Test

532

(2)

Quadratic Equations

Solving Quadratic Equations: The Principle of Square Roots

534

(6)

Solving Quadratic Equations: Completing the Square

540

(6)

The Quadratic Formula and Applications

546

(10)

Formulas and Equations

556

(6)

Complex Numbers as Solutions of Quadratic Equations

562

(4)

Graphs of Quadratic Equations

566

(6)

Functions

572

(19)

Study Summary

583

(1)

Review Exercises

584

(2)

Test

586

(1)

Cumulative Review: Chapters 1--9

587

(4)

Appendix A: Factoring Sums or Differences of Cubes

591

(3)

Appendix B: Mean, Median, and Mode

594

(4)

Appendix C: Sets

598

(5)

Table 1: Fraction and Decimal Equivalents

603

(1)

Table 2: Squares and Square Roots with Approximations to Three Decimal Places

604

(1)

Table 3: Geometric Formulas

605

Answers

(1)

Glossary

(1)

Index

Elementary Algebra : Concepts and Applications

9780321233882

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Table of Contents