Elementary and Intermediate Algebra

by Sullivan III, Michael; Struve, Katherine R.; Mazzarella, Janet

Edition:

1st

ISBN13:

9780131915053

ISBN10:

0131915053

Format:

Hardcover

Pub. Date:

1/1/2007

Publisher(s):

Pearson College Div

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Summary

Normal 0 false false false MicrosoftInternetExplorer4 Intended for a 2-semester sequence of ElementaryandIntermediate Algebrawhere students get a solid foundation in algebra, including exposure to functions, which prepares them for success in College Algebra or their next math course. Operations on Real Numbers and Algebraic Expressions; Equations and Inequalities in One Variable; Introduction to Graphing and Equations of Lines; Systems of Linear Equations and Inequalities; Exponents and Polynomials; Factoring Polynomials; Rational Expressions and Equations; Graphs, Relations, and Functions; Radicals and Rational Exponents; Quadratic Equations and Functions; Exponential and Logarithmic Functions; Conics; Sequences, Series, and The Binomial Theorem; Review of Fractions, Decimals, and Percents; Division of Polynomials; Synthetic Division; The Library of Functions; Geometry; More on Systems of Equations For all readers interested in elementary and intermediate algebra.

Preface

viii

Operations on Real Numbers and Algebraic Expressions

(73)

Success in Mathematics

(6)

The Number Systems and the Real Number Line

(10)

Adding, Subtracting, Multiplying, and Dividing Integers

(10)

Adding, Subtracting, Multiplying, and Dividing Rational Numbers Expressed as Fractions and Decimals

(13)

Putting the Concepts Together (Sections 1.2--1.4)

(1)

Properties of Real Numbers

(8)

Exponents and the Order of Operations

(8)

Simplifying Algebraic Expressions

(17)

Chapter 1 Activity: The Math Game

(1)

Chapter 1 Review

(7)

Chapter 1 Test

(1)

Equations and Inequalities in One Variable

(100)

Linear Equations: The Addition and Multiplication Properties of Equality

(9)

Linear Equations: Using the Properties Together

(9)

Solving Linear Equations Involving Fractions and Decimals; Classifying Equations

(10)

Evaluating Formulas and Solving Formulas for a Variable

103

(14)

Putting the Concepts Together (Sections 2.1--2.4)

116

(1)

Introduction to Problem Solving: Direct Translation Problems

117

(14)

Problem Solving: Direct Translation Problems Involving Percent

131

(8)

Problem Solving: Geometry and Uniform Motion

139

(11)

Solving Linear Inequalities in One Variable

150

(24)

Chapter 2 Activity: Pass to the Right

164

(1)

Chapter 2 Review

165

(7)

Chapter 2 Test

172

(2)

Introduction to Graphing and Equations of Lines

174

(98)

The Rectangular Coordinate System and Equations in Two Variables

175

(16)

Graphing Equations in Two Variables

191

(15)

Slope

206

(11)

Slope-Intercept Form of a Line

217

(10)

Point-Slope Form of a Line

227

(8)

Parallel and Perpendicular Lines

235

(10)

Putting the Concepts Together (Sections 3.1--3.6)

244

(1)

Variation

245

(7)

Linear Inequalities in Two Variables

252

(20)

Chapter 3 Activity: Graphing Practice

261

(1)

Chapter 3 Review

262

(8)

Chapter 3 Test

270

(1)

Cumulative Review Chapters 1--3

271

(1)

Systems of Linear Equations and Inequalities

272

(71)

Solving Systems of Linear Equations by Graphing

273

(12)

Solving Systems of Linear Equations Using Substitution

285

(11)

Solving Systems of Linear Equations Using Elimination

296

(11)

Putting the Concepts Together (Sections 4.1--4.3)

306

(1)

Solving Direct Translation, Geometry, and Uniform Motion Problems Using Systems of Linear Equations

307

(7)

Solving Mixture Problems Using Systems of Linear Equations

314

(12)

Systems of Linear Inequalities

326

(17)

Chapter 4 Activity: Find the Numbers

334

(1)

Chapter 4 Review

334

(7)

Chapter 4 Test

341

(2)

Exponents and Polynomials

343

(64)

Adding and Subtracting Polynomials

344

(10)

Multiplying Monomials: The Product and Power Rules

354

(6)

Multiplying Polynomials

360

(11)

Dividing Monomials: The Quotient Rule and Integer Exponents

371

(12)

Putting the Concepts Together (Sections 5.1--5.4)

383

(1)

Dividing Polynomials

383

(8)

Applying Exponent Rules: Scientific Notation

391

(16)

Chapter 5 Activity: What Is the Question?

398

(2)

Chapter 5 Review

400

(4)

Chapter 5 Test

404

(1)

Cumulative Review Chapters 1--5

405

(2)

Factoring Polynomials

407

(67)

Greatest Common Factor and Factoring by Grouping

408

(10)

Factoring Trinomials of the Form x2 + bx + c

418

(9)

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

427

(9)

Factoring Special Products

436

(8)

Summary of Factoring Techniques

444

(7)

Putting the Concepts Together (Sections 6.1--6.5)

450

(1)

Solving Polynomial Equations by Factoring

451

(9)

Modeling and Solving Problems with Quadratic Equations

460

(14)

Chapter 6 Activity: Which One Does Not Belong?

468

(1)

Chapter 6 Review

469

(4)

Chapter 6 Test

473

(1)

Getting Ready for Intermediate Algebra: A Review of Chapters 1--6

474

(89)

Rational Expressions and Equations

476

(87)

Simplifying Rational Expressions

477

(8)

Multiplying and Dividing Rational Expressions

485

(9)

Adding and Subtracting Rational Expressions with a Common Denominator

494

(7)

Finding the Least Common Denominator and Forming Equivalent Rational Expressions

501

(8)

Adding and Subtracting Rational Expressions with Unlike Denominators

509

(11)

Complex Rational Expressions

520

(9)

Putting the Concepts Together (Sections 7.1--7.6)

528

(1)

Rational Equations

529

(12)

Models Involving Rational Equations

541

(22)

Chapter 7 Activity: Correct the Quiz

555

(1)

Chapter 7 Review

556

(5)

Chapter 7 Test

561

(2)

Getting Ready for Intermediate Algebra: A Review of Chapters 1--7

563

Graphs, Relations, and Functions

565

(94)

Graphs of Equations

566

(11)

Relations

577

(7)

Putting the Concepts Together (Sections 8.1--8.2)

584

(1)

An Introduction to Functions

584

(13)

Functions and Their Graphs

597

(10)

Linear Functions

607

(14)

Compound Inequalities

621

(11)

Absolute Value Equations and Inequalities

632

(27)

Chapter 8 Activity: Shifting Discovery

644

(1)

Chapter 8 Review

644

(12)

Chapter 8 Test

656

(3)

Radicals and Rational Exponents

659

(84)

Square Roots

660

(6)

nth Roots and Rational Exponents

666

(8)

Simplify Expressions Using the Laws of Exponents

674

(6)

Simplifying Radical Expressions

680

(12)

Adding, Subtracting, and Multiplying Radical Expressions

692

(7)

Rationalizing Radical Expressions

699

(6)

Putting the Concepts Together (Sections 9.1--9.6)

705

(1)

Functions Involving Radicals

705

(7)

Radical Equations and Their Applications

712

(10)

The Complex Number System

722

(21)

Chapter 9 Activity: Which One Does Not Belong?

733

(1)

Chapter 9 Review

734

Chapter 9 Test

714

(27)

Cumulative Review Chapters 1--9

741

(2)

Quadratic Equations and Functions

743

(94)

Solving Quadratic Equations by Completing the Square

744

(13)

Solving Quadratic Equations by the Quadratic Formula

757

(15)

Solving Equations Quadratic in Form

772

(9)

Putting the Concepts Together (Sections 10.1--10.3)

780

(1)

Graphing Quadratic Functions Using Transformations

781

(14)

Graphing Quadratic Functions Using Properties

795

(16)

Quadratic Inequalities

811

(10)

Rational Inequalities

821

(16)

Chapter 10 Activity: Presidential Decision Making

827

(1)

Chapter 10 Review

828

(7)

Chapter 10 Test

835

(2)

Exponential and Logarithmic Functions

837

(75)

Composite Functions and Inverse Functions

838

(14)

Exponential Functions

852

(18)

Logarithmic Functions

870

(14)

Putting the Concepts Together (Sections 11.1--11.3)

883

(1)

Properties of Logarithms

884

(10)

Exponential and Logarithmic Equations

894

(18)

Chapter 11 Activity: Correct the Quiz

903

(1)

Chapter 11 Review

904

(5)

Chapter 11 Test

909

(1)

Cumulative Review Chapters 1--11

910

(2)

Conics

912

(61)

Distance and Midpoint Formulas

913

(7)

Circles

920

(7)

Parabolas

927

(11)

Ellipses

938

(11)

Hyperbolas

949

(9)

Putting the Concepts Together (Sections 12.1--12.5)

957

(1)

Nonlinear Systems of Equations

958

(15)

Chapter 12 Activity: How Do You Know That . . . ?

966

(1)

Chapter 12 Review

966

(6)

Chapter 12 Test

972

(1)

Sequences, Series, and the Binomial Theorem

973

Sequences

974

(8)

Arithmetic Sequences

982

(8)

Geometric Sequences and Series

990

(12)

Putting the Concepts Together (Sections 13.1--13.3)

1001

(1)

The Binomial Theorem

1002

Chapter 13 Activity: Pass to the Right

1008

(1)

Chapter 13 Review

1008

(4)

Chapter 13 Test

1012

(1)

Cumulative Review Chapters 1--13

1013

Appendix A: Fractions, Decimals, and Percents

(1)

Appendix B: Synthetic Division

(1)

Appendix C: Geometry Review

(1)

Appendix D: The Library of Functions

(1)

Appendix E: More on Systems of Linear Equations

(1)

Appendix F: Table of Square Roots

(1)

Answers to Quick Check Exercises

(1)

Answers to Selected Exercises

(1)

Applications Index

(1)

Subject Index

(1)

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Elementary and Intermediate Algebra

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Table of Contents