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Elementary Algebra

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

Elementary Algebra

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

ISBN 13:
9780131467668
ISBN 10:
0131467662
Edition: CD
Format: Hardcover
Copyright: 01/01/2007
Publisher: Pearson College Div
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Summary

Elementary Algebrais typically a 1-semester course that provides a solid foundation in algebraic skills and reasoning for students who have little or no previous experience with the topic. The goal is to effectively prepare students to transition into Intermediate Algebra.

Preface

viii

PART I Foundations: Getting Ready for Algebra

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)

PART II Developing Algebraic Skills Using One Unknown

Equations and Inequalities in One Variable

(99)

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

(23)

Chapter 2 Activity: Pass to the Right

163

(1)

Chapter 2 Review

164

(7)

Chapter 2 Test

171

(2)

Exponents and Polynomials

173

(64)

Adding and Subtracting Polynomials

174

(10)

Multiplying Monomials: The Product and Power Rules

184

(6)

Multiplying Polynomials

190

(11)

Dividing Monomials: The Quotient Rule and Integer Exponents

201

(12)

Putting the Concepts Together (Sections 3.1--3.4)

213

(1)

Dividing Polynomials

213

(8)

Applying Exponent Rules: Scientific Notation

221

(16)

Chapter 3 Activity: What Is the Question?

228

(2)

Chapter 3 Review

230

(4)

Chapter 3 Test

234

(1)

Cumulative Review Chapters 1--3

235

(2)

Factoring Polynomials

237

(67)

Greatest Common Factor and Factoring by Grouping

238

(10)

Factoring Trinomials of the Form x2 + bx + c

248

(9)

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

257

(9)

Factoring Special Products

266

(8)

Summary of Factoring Techniques

274

(7)

Putting the Concepts Together (Sections 4.1--4.5)

280

(1)

Solving Polynomial Equations by Factoring

281

(9)

Modeling and Solving Problems with Quadratic Equations

290

(14)

Chapter 4 Activity: Which One Does Not Belong?

298

(1)

Chapter 4 Review

299

(4)

Chapter 4 Test

303

(1)

Rational Expressions and Equations

304

(88)

Simplifying Rational Expressions

305

(8)

Multiplying and Dividing Rational Expressions

313

(9)

Adding and Subtracting Rational Expressions with a Common Denominator

322

(7)

Finding the Least Common Denominator and Forming Equivalent Rational Expressions

329

(8)

Adding and Subtracting Rational Expressions with Unlike Denominators

337

(11)

Complex Rational Expressions

348

(9)

Putting the Concepts Together (Sections 5.1--5.6)

356

(1)

Rational Equations

357

(12)

Models Involving Rational Equations

369

(23)

Chapter 5 Activity: Correct the Quiz

383

(1)

Chapter 5 Review

384

(5)

Chapter 5 Test

389

(2)

Cumulative Review Chapters 1--5

391

(1)

Roots and Radicals

392

(65)

Introduction to Square Roots

393

(7)

Simplifying Square Roots

400

(8)

Adding and Subtracting Square Roots

408

(5)

Multiplying Expressions with Square Roots

413

(8)

Dividing Expressions with Square Roots

421

(9)

Putting the Concepts Together (Sections 6.1--6.5)

429

(1)

Solving Equations Containing Square Roots

430

(10)

Higher Roots and Rational Exponents

440

(17)

Chapter 6 Activity: Working Together with Radicals

450

(1)

Chapter 6 Review

450

(5)

Chapter 6 Test

455

(2)

Quadratic Equations

457

(62)

Solving Quadratic Equations Using the Square Root Property

458

(10)

Solving Quadratic Equations by Completing the Square

468

(8)

Solving Quadratic Equations Using the Quadratic Formula

476

(15)

Putting the Concepts Together (Sections 7.1--7.3)

490

(1)

Problem Solving Using Quadratic Equations

491

(9)

The Complex Number System

500

(19)

Chapter 7 Activity: The Math Game

511

(1)

Chapter 7 Review

512

(4)

Chapter 7 Test

516

(1)

Cumulative Review Chapters 1--7

517

(2)

PART III Developing Algebraic Skills Using Two Unknowns

Introduction to Graphing and Equations of Lines

519

(97)

The Rectangular Coordinate System and Equations in Two Variables

520

(16)

Graphing Equations in Two Variables

536

(15)

Slope

551

(11)

Slope-Intercept Form of a Line

562

(10)

Point-Slope Form of a Line

572

(8)

Parallel and Perpendicular Lines

580

(10)

Putting the Concepts Together (Sections 8.1--8.6)

589

(1)

Variation

590

(7)

Linear Inequalities in Two Variables

597

(19)

Chapter 8 Activity: Graphing Practice

606

(1)

Chapter 8 Review

607

(8)

Chapter 8 Test

615

(1)

Systems of Linear Equations and Inequalities

616

(72)

Solving Systems of Linear Equations by Graphing

617

(12)

Solving Systems of Linear Equations Using Substitution

629

(11)

Solving Systems of Linear Equations Using Elimination

640

(11)

Putting the Concepts Together (Sections 9.1--9.3)

650

(1)

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

651

(7)

Solving Mixture Problems Using Systems of Linear Equations

658

(12)

Systems of Linear Inequalities

670

(18)

Chapter 9 Activity: Find the Numbers

678

(1)

Chapter 9 Review

678

(7)

Chapter 9 Test

685

(1)

Cumulative Review Chapters 1--9

686

(2)

Graphs of Quadratic Equations in Two Variables and an Introduction to Functions

688

Quadratic Equations in Two Variables

689

(14)

Relations

703

(8)

Putting the Concepts Together (Sections 10.1--10.2)

710

(1)

An Introduction to Functions

711

Chapter 10 Activity: Discovering Shifting

721

(1)

Chapter 10 Review

721

(5)

Chapter 10 Test

726

Appendix A: Fractions, Decimals, and Percents

(1)

Appendix B: Table of Square Roots

(1)

Appendix C: Geometry Review

(1)

Answers to Quick Check Exercises

(1)

Answers to Selected Exercises

(1)

Applications Index

(1)

Subject Index

(1)

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Amazon no longer offers textbook rentals. We do!

Elementary Algebra

Elementary Algebra

9780131467668

0131467662

Summary

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Elementary Algebra

Elementary Algebra

9780131467668

0131467662

Summary

Table of Contents

Supplemental Materials

Write a Review

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