Elementary Algebra

by Carson, Tom; Jordan, Bill E.

Edition:

3rd

ISBN13:

9780321358370

ISBN10:

0321358376

Format:

Hardcover

Pub. Date:

1/1/2011

Publisher(s):

Addison Wesley

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Summary

While using Elementary Algebra, Second Edition, you will find that the text focuses on building competence and confidence. The authors present the concepts, show how to do the math, and explain the reasoning behind it in a language you can understand. The text ties concepts together using the Algebra Pyramid, which will help you see the big picture of algebra. The skills Carson presents through both the Learning Strategy boxes and the Study System, introduced in the Preface and incorporated throughout the text, will not only enhance your elementary algebra experience but will also help you succeed in future college courses. Book jacket.

Preface

vii

To the Student

xvii

Learning Styles Inventory

xxiii

Foundations of Algebra

(100)

Number Sets and the Structure of Algebra

(9)

Fractions

(13)

Adding and Subtracting Real Numbers; Properties of Real Numbers

(17)

Multiplying and Dividing Real Numbers; Properties of Real Numbers

(15)

Exponents, Roots, and Order of Operations

(14)

Translating Word Phrases to Expressions

(8)

Evaluating and Rewriting Expressions

(23)

Summary

(6)

Review Exercises

(4)

Practice Test

(2)

Solving Linear Equations and Inequalities

101

(88)

Equations, Formulas, and the Problem-Solving Process

102

(16)

The Addition Principle

118

(14)

The Multiplication Principle

132

(15)

Applying the Principles to Formulas

147

(6)

Translating Word Sentences to Equations

153

(11)

Solving Linear Inequalities

164

(25)

Summary

177

(5)

Review Exercises

182

(4)

Practice Test

186

(3)

Problem Solving

189

(78)

Ratios and Proportions

190

(15)

Percents

205

(16)

Problems with Two or More Unknowns

221

(15)

Rates

236

(8)

Investment and Mixture

244

(23)

Summary

252

(5)

Review Exercises

257

(5)

Practice Test

262

(2)

Chapters 1--3 Cumulative Review Exercises

264

(3)

Graphing Linear Equations and Inequalities

267

(106)

The Rectangular Coordinate System

268

(9)

Graphing Linear Equations

277

(12)

Graphing Using Intercepts

289

(10)

Slope-Intercept Form

299

(14)

Point-Slope Form

313

(14)

Graphing Linear Inequalities

327

(10)

Introduction to Functions and Function Notation

337

(36)

Summary

355

(8)

Review Exercises

363

(7)

Practice Test

370

(3)

Polynomials

373

(86)

Exponents and Scientific Notation

374

(13)

Introduction to Polynomials

387

(13)

Adding and Subtracting Polynomials

400

(11)

Exponent Rules and Multiplying Monomials

411

(12)

Multiplying Polynomials; Special Products

423

(12)

Exponent Rules and Dividing Polynomials

435

(24)

Summary

451

(3)

Review Exercises

454

(4)

Practice Test

458

(1)

Factoring

459

(78)

Greatest Common Factor and Factoring by Grouping

460

(11)

Factoring Trinomials of the Form x2 + bx + c

471

(7)

Factoring Trinomials of the Form ax2 + bx + c, where a ≠ 1

478

(9)

Factoring Special Products

487

(9)

Strategies for Factoring

496

(6)

Solving Quadratic Equations by Factoring

502

(13)

Graphs of Quadratic Equations and Functions

515

(22)

Summary

525

(5)

Review Exercises

530

(3)

Practice Test

533

(1)

Chapters 1--6 Cumulative Review Exercises

534

(3)

Rational Expressions and Equations

537

(92)

Simplifying Rational Expressions

538

(14)

Multiplying and Dividing Rational Expressions

552

(11)

Adding and Subtracting Rational Expressions with the Same Denominator

563

(7)

Adding and Subtracting Rational Expressions with Different Denominators

570

(12)

Complex Rational Expressions

582

(9)

Solving Equations Containing Rational Expressions

591

(10)

Applications with Rational Expressions

601

(28)

Summary

615

(7)

Review Exercises

622

(4)

Practice Test

626

(3)

Systems of Equations

629

(70)

Solving Systems of Linear Equations Graphically

630

(11)

Solving Systems of Linear Equations by Substitution

641

(11)

Solving Systems of Linear Equations by Elimination

652

(12)

More Applications with Systems of Equations

664

(14)

Solving Systems of Linear Inequalities

678

(21)

Summary

688

(5)

Review Exercises

693

(4)

Practice Test

697

(2)

Roots and Radicals

699

(74)

Square Roots and Radical Expressions

700

(10)

Multiplying and Simplifying Square Roots

710

(6)

Dividing and Simplifying Square Roots

716

(11)

Adding and Subtracting Square Roots

727

(11)

Solving Radical Equations

738

(10)

Higher Roots and Rational Exponents

748

(25)

Summary

760

(4)

Review Exercises

764

(5)

Practice Test

769

(1)

Chapters 1--9 Cumulative Review Exercises

770

(3)

Quadratic Equations

773

The Square Root Principle

774

(11)

Solving Quadratic Equations by Completing the Square

785

(9)

Solving Quadratic Equations Using the Quadratic Formula

794

(12)

Complex Numbers

806

(9)

Graphing Quadratic Equations

815

Summary

830

(5)

Review Exercises

835

(4)

Practice Test

839

(2)

Chapters 1--10 Cumulative Review Exercises

841

Answers (Student edition only)

(1)

Glossary

(1)

Index

(1)

Applications Index

(1)

Photograph Credits

Elementary Algebra

9780321358370

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Summary

Table of Contents