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Introductory Algebra

by Martin-Gay, K. Elayn

ISBN13:

9780132288347

ISBN10:

0132288346

Format:

Paperback

Pub. Date:

12/1/1998

Publisher(s):

Pearson College Div

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Summary

Introductory Algebra is 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

vii

Prealgebra Review

(1)

Factors and the Least Common Multiple

(6)

Fractions

(10)

Decimals and Percents

Activity: Interpreting Survey Results

(1)

Highlights

(3)

Review

(2)

Test

Real Numbers and Introduction to Algebra

(88)

Symbols and Sets of Numbers

(10)

Introduction to Variable Expressions and Equations

(10)

Adding Real Numbers

(8)

Subtracting Real Numbers

(10)

Multiplying Real Numbers

(6)

Dividing Real Numbers

(10)

Integrated Review---Operations on Real Numbers

(2)

Properties of Real Numbers

(8)

Reading Graphs

(24)

Activity: Analyzing Wealth

(1)

Highlights

(5)

Review

(4)

Test

(4)

Equations, Inequalities, and Problem Solving

(100)

Simplifying Expressions

(8)

The Addition Property of Equality

(10)

The Multiplication Property of Equality

109

(8)

Further Solving Linear Equations

117

(12)

Integrated Review---Solving Linear Equations

127

(2)

An Introduction to Problem Solving

129

(12)

Formulas and Problem Solving

141

(10)

Percent, Ratio, and Proportion

151

(12)

Solving Linear Inequalities

163

(26)

Activity: Investigating Averages

175

(1)

Highlights

176

(3)

Review

179

(6)

Test

185

(2)

Cumulative Review

187

(2)

Exponents and Polynomials

189

(80)

Exponents

191

(12)

Negative Exponents and Scientific Notation

203

(12)

Introduction to Polynomials

215

(10)

Adding and Subtracting Polynomials

225

(6)

Multiplying Polynomials

231

(6)

Special Products

237

(10)

Integrated Review---Operations on Polynomials

245

(2)

Dividing Polynomials

247

(22)

Activity: Modeling with Polynomials

255

(1)

Highlights

256

(3)

Review

259

(6)

Test

265

(2)

Cumulative Review

267

(2)

Factoring Polynomials

269

(78)

The Greatest Common Factor

271

(8)

Factoring Trinomials of the Form x2 + bx + c

279

(8)

Factoring Trinomials of the Form ax2 + bx + c

287

(8)

Factoring Trinomials of the Form ax2 + bx + c by Grouping

295

(6)

Factoring Perfect Square Trinomials and the Differences of Two Squares

301

(12)

Integrated Review---Choosing a Factoring Strategy

311

(2)

Solving Quadratic Equations by Factoring

313

(10)

Quadratic Equations and Problem Solving

323

(24)

Activity: Factoring

335

(1)

Highlights

336

(3)

Review

339

(4)

Test

343

(2)

Cumulative Review

345

(2)

Rational Expressions

347

(82)

Simplifying Rational Expressions

349

(8)

Multiplying and Dividing Rational Expressions

357

(10)

Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator

367

(8)

Adding and Subtracting Rational Expressions with Different Denominators

375

(8)

Solving Equations Containing Rational Expressions

383

(10)

Integrated Review---Summary on Rational Expressions

391

(2)

Rational Equations and Problem Solving

393

(12)

Simplifying Complex Fractions

405

(24)

Activity: Analyzing a Table

413

(1)

Highlights

414

(5)

Review

419

(6)

Test

425

(2)

Cumulative Review

427

(2)

Graphing Equations and Inequalities

429

(104)

The Rectangular Coordinate System

431

(14)

Graphing Linear Equations

445

(12)

Intercepts

457

(12)

Slope

469

(14)

Equations of Lines

483

(14)

Integrated Review---Summary on Linear Equations

495

(2)

Introduction to Functions

497

(10)

Graphing Linear Inequalities in Two Variables

507

(26)

Activity: Financial Analysis

517

(1)

Highlights

518

(5)

Review

523

(6)

Test

529

(2)

Cumulative Review

531

(2)

Systems of Equations

533

(60)

Solving Systems of Linear Equations by Graphing

535

(12)

Solving Systems of Linear Equations by Substitution

547

(10)

Solving Systems of Linear Equations by Addition

557

(12)

Integrated Review---Summary on Solving Systems of Equations

567

(2)

Systems of Linear Equations and Problem Solving

569

(24)

Activity: Analyzing the Courses of Ships

581

(1)

Highlights

582

(3)

Review

585

(4)

Test

589

(2)

Cumulative Review

591

(2)

Roots and Radicals

593

(66)

Introduction to Radicals

595

(8)

Simplifying Radicals

603

(8)

Adding and Subtracting Radicals

611

(6)

Multiplying and Dividing Radicals

617

(10)

Integrated Review---Simplifying Radicals

625

(2)

Solving Equations Containing Radicals

627

(8)

Radical Equations and Problem Solving

635

(24)

Activity: Investigating the Dimensions of Cylinders

645

(1)

Highlights

646

(3)

Review

649

(4)

Test

653

(2)

Cumulative Review

655

(4)

Quadratic Equations

659

Solving Quadratic Equations by the Square Root Property

661

(6)

Solving Quadratic Equations by Completing the Square

667

(6)

Solving Quadratic Equations by the Quadratic Formula

673

(10)

Integrated Review---Summary on Quadratic Equations

681

(2)

Graphing Quadratic Equations in Two Variables

683

Activity: Modeling a Physical Situation

693

(1)

Highlights

694

(3)

Review

697

(4)

Test

701

(2)

Cumulative Review

703

Appendices

(16)

Answers to Selected Exercises

(30)

Solutions to Selected Exercises

Index

(1)

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Introductory Algebra

9780132288347

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Table of Contents