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Beginning Algebra,9780321036445

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Beginning Algebra

by Lial, Margaret L.; Hornsby, John; Hornsby, E. John

Edition:

8th

ISBN13:

9780321036445

ISBN10:

0321036441

Format:

Hardcover

Pub. Date:

7/1/1997

Publisher(s):

Addison-Wesley

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Summary

KEY MESSAGE: The Lial series has helped thousands of readers succeed in developmental mathematics through its approachable writing style, relevant real-world examples, extensive exercise sets, and complete supplements package. The Real Number System; Linear Equations and Inequalities in One Variable; Linear Equations and Inequalities in Two Variables: Functions; Systems of Linear Equations and Inequalities; Exponents and Polynomials; Factoring and Applications; Rational Expressions and Applications; Roots and Radicals; Quadratic Equations For all readers interested in Beginning Algebra.

Table of Contents

Preface

xi

An Introduction to Calculators

xxi

The Real Number System

1

(87)

Fractions

2

(12)

Exponents, Order of Operations, and Inequality

14

(7)

Variables, Expressions, and Equations

21

(6)

Real Numbers and the Number Line

27

(10)

Addition and Subtraction of Real Numbers

37

(12)

Multiplication and Division of Real Numbers

49

(12)

Properties of Real Numbers

61

(8)

Simplifying Expressions

69

(19)

Group Activity

75

(1)

Summary

76

(3)

Review Exercises

79

(6)

Test

85

(3)

Linear Equations and Inequalities in One Variable

88

(87)

The Addition and Multiplication Properties of Equality

89

(8)

More on Solving Linear Equations

97

(8)

An Introduction to Applications of Linear Equations

105

(11)

Formulas and Applications from Geometry

116

(10)

Ratios and Proportions

126

(9)

More About Problem Solving

135

(14)

The Addition and Multiplication Properties of Inequality

149

(26)

Group Activity

162

(1)

Summary

163

(4)

Review Exercises

167

(4)

Test

171

(2)

Cumulative Review Exercises Chapters 1--2

173

(2)

Linear Equations in Two Variables

175

(48)

Linear Equations in Two Variables

176

(12)

Graphing Linear Equations in Two Variables

188

(12)

The Slope of a Line

200

(23)

Group Activity

213

(1)

Summary

214

(3)

Review Exercises

217

(2)

Test

219

(1)

Cumulative Review Exercises Chapters 1--3

220

(3)

Polynomials and Exponents

223

(65)

Addition and Subtraction of Polynomials; Graphing Simple Polynomials

224

(10)

The Product Rule and Power Rules for Exponents

234

(8)

Multiplication of Polynomials

242

(6)

Special Products

248

(5)

Integer Exponents and the Quotient Rule

253

(8)

Division of Polynomials

261

(9)

An Application of Exponents: Scientific Notation

270

(18)

Group Activity

276

(1)

Summary

277

(3)

Review Exercises

280

(4)

Test

284

(1)

Cumulative Review Exercises Chapters 1--4

285

(3)

Factoring and Applications

288

(65)

The Greatest Common Factor; Factoring by Grouping

289

(7)

Factoring Trinomials

296

(5)

More on Factoring Trinomials

301

(7)

Special Factoring Rules

308

(10)

Exercises on Factoring

316

(2)

Solving Quadratic Equations by Factoring

318

(7)

Applications of Quadratic Equations

325

(11)

Solving Quadratic Inequalities

336

(17)

Group Activity

342

(1)

Summary

342

(3)

Review Exercises

345

(4)

Test

349

(2)

Cumulative Review Exercises Chapters 1--5

351

(2)

Rational Expressions

353

(75)

The Fundamental Property of Rational Expressions

354

(9)

Multiplication and Division of Rational Expressions

363

(7)

The Least Common Denominator

370

(5)

Addition and Subtraction of Rational Expressions

375

(8)

Complex Fractions

383

(8)

Solving Equations Involving Rational Expressions

391

(11)

Exercises on Operations and Equations with Rational Expressions

399

(3)

Applications of Rational Expressions

402

(26)

Group Activity

416

(1)

Summary

417

(4)

Review Exercises

421

(4)

Test

425

(1)

Cumulative Review Exercises Chapters 1--6

426

(2)

Equations of Lines, Inequalities, and Functions

428

(39)

Equations of a Line

429

(11)

Graphing Linear Inequalities in Two Variables

440

(9)

Functions

449

(18)

Group Activity

458

(1)

Summary

459

(2)

Review Exercises

461

(3)

Test

464

(1)

Cumulative Review Exercises Chapters 1--7

465

(2)

Linear Systems

467

(51)

Solving Systems of Linear Equations by Graphing

468

(9)

Solving Systems of Linear Equations by Substitution

477

(6)

Solving Systems of Linear Equations by Elimination

483

(8)

Applications of Linear Systems

491

(10)

Solving Systems of Linear Inequalities

501

(17)

Group Activity

506

(1)

Summary

507

(3)

Review Exercises

510

(4)

Test

514

(1)

Cumulative Review Exercises Chapters 1--8

515

(3)

Roots and Radicals

518

(59)

Evaluating Roots

519

(11)

Multiplication and Division of Radicals

530

(7)

Addition and Subtraction of Radicals

537

(5)

Rationalizing the Denominator

542

(4)

Simplifying Radical Expressions

546

(6)

Solving Equations with Radicals

552

(10)

Fractional Exponents

562

(15)

Group Activity

567

(1)

Summary

568

(3)

Review Exercises

571

(3)

Test

574

(1)

Cumulative Review Exercises Chapters 1--9

574

(3)

Quadratic Equations

577

(54)

Solving Quadratic Equations by the Square Root Property

578

(5)

Solving Quadratic Equations by Completing the Square

583

(6)

Solving Quadratic Equations by the Quadratic Formula

589

(10)

Exercises on Quadratic Equations

597

(2)

Complex Numbers

599

(8)

More on Graphing Quadratic Equations; Quadratic Functions

607

(24)

Group Activity

619

(1)

Summary

620

(3)

Review Exercises

623

(3)

Test

626

(1)

Cumulative Review Exercises Chapters 1--10

627

(4)

Appendix A Review of Decimals and Percents

631

(4)

Appendix B Sets

635

Answers to Selected Exercises

A-1

Index

I-1

Index of Applications

I-9

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