Beginning and Intermediate Algebra with Graphing Calculators An Integrated Approach

, by Cochener, Deborah J.; Hodge, Bonnie M.; Gustafson, R. David

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ISBN: 9780534359423 | 0534359426
Cover: Hardcover
Copyright: 11/5/1999

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The calculator is required - it is not optional. Calculator instruction is keyed to the TI-83 - TI 86. The approach throughout the text is fourfold: NUMERICAL, specifically through the use of tables; GRAPHICAL, done both on graph paper and with the graphing calculator, also providing the student with opportunities to model data and to interpret models; SYMBOLIC, which helps the student link the numerical and graphical; and finally VERBAL, where students are required to express mathematical concepts in their own words.

PREFACE

1 Basic Arithmetic and Graphing Calculator Concepts

(62)

1.1 Review of Fractions

(18)

Technology 1.1: Introduction to the Graphing Calculator

(6)

1.2 Exponents and Order of Operations

(9)

Technology 1.2: Using the STOre Key

(2)

1.3 Adding and Subtracting Real Numbers

(9)

1.4 Multiplying and Dividing Real Numbers

(7)

1.5 Basic Applications

(11)

Chapter Summary

(3)

Chapter Test

(2)

Careers & Mathematics

(2)

2 Exponents and Polynomials

(44)

2.1 Whole-Number Exponents

(7)

2.2 Algebraic Expressions and Polynomials

(7)

2.3 Adding and Substracting Polynomials

(5)

2.4 Multiplying Polynomials

(7)

2.5 Dividing Polynomials by Monomials

(3)

2.6 Dividing Polynomials by Polynomials

(7)

Chapter Summary

100

(2)

Chapter Test

102

(1)

Cumulative Review: Chapter 1 and 2

102

(3)

Careers & Mathematics

105

(2)

3 Modeling Linear Equations in One and Two Variables

107

(78)

3.1 Introduction to Linear Equations in One Variable

108

3.2 Literal Equations and Formulas

3.3 Introduction to Equations in Two Variables

123

(10)

3.4 The Rectangular Coordinate Systems

133

(24)

Technology 3.4: Graphing Basics

151

(6)

3.5 Linear Applications and Models

157

(8)

Technology 3.5: INTERSECT Method for Solving

165

(1)

3.6 Algebraic and Graphical Solutions to One-Variable Linear Equations

165

(13)

Chapter Summary

178

(3)

Chapter Test

181

(2)

Careers & Mathematics

183

(2)

4 An Extended Look at Applications and Absolute Value Equations

185

(34)

4.1 Applications--A Numeric Approach

186

(9)

4.2 Business Applications

195

(5)

4.3 More Applications of Equations

200

(5)

4.4 Equations Containing Absolute Value

205

(6)

Chapter Summary

211

(2)

Chapter Test

213

(1)

Cumulative Review: Chapters 3 and 4

214

(3)

Careers & Mathematics

217

(2)

5 Factoring

219

(44)

5.1 Using the Distributive Property to Factor

220

(8)

5.2 Factoring Trinomials

228

(8)

5.3 Factoring the Difference of Two Squares and a Summary of Factoring Techniques

236

(8)

5.4 Using Factoring to Solve Equations

244

(13)

Chapter Summary

257

(3)

Chapter Test

260

(1)

Careers & Mathematics

261

(2)

6 Rational Expressions and Equations

263

(53)

6.1 Simplifying Rational Expressions

264

(8)

6.2 Adding and Subtracting Rational Expressions

272

(7)

6.3 Multiplying and Dividing Rational Expressions

279

(4)

6.4 Mixed Operations and Complex Fractions

283

(6)

6.5 Algebraic and Graphical Solutions of Rational Equations

289

(11)

6.6 Applications of Rational Equations

300

(6)

Chapter Summary

306

(4)

Chapter Test

310

(1)

Cumulative Review: Chapters 5 and 6

311

(3)

Careers & Mathematics

314

(2)

7 Making the Transition from Elementary to Intermediate Algebra

316

(78)

7.1 Negative Integral Exponents

317

(9)

7.2 Review of Factoring

326

(5)

7.3 Equation Review

331

(11)

7.4 Graphing and Its Applications Revisited

342

(15)

Technology 7.4: ROOT/ZERO Method for Solving

356

(1)

7.5 Solving Simple Linear Inequalities

357

(11)

7.6 Compound Inequalities

368

(10)

7.7 Absolute Value Inequalities

378

(7)

Chapter Summary

385

(5)

Chapter Test

390

(2)

Careers & Mathematics

392

(2)

8 Functions

394

(56)

8.1 Relations and Functions

395

(11)

8.2 Functions and Graphs

406

(5)

8.3 Slope of a Nonvertical Line

411

(10)

8.4 Equations of Lines

421

(9)

8.5 Variation

430

(9)

Chapter Summary

439

(5)

Chapter Test

444

(1)

Cumulative Review: Chapters 7 and 8

444

(4)

Careers & Mathematics

448

(2)

9 Rational Exponents and Radicals

450

(53)

9.1 Introduction to Roots and Radicals

451

(6)

9.2 Rational Exponents and Simplifying Radical Expressions

457

(8)

9.3 Arithmetic Operations with Radicals

465

(7)

9.4 Radical Equations and Their Applications

472

(9)

9.5 Radical Functions

481

(7)

9.6 (XXX)-1 and Complex Numbers

488

(9)

Chapter Summary

497

(3)

Chapter Test

500

(1)

Careers & Mathematics

501

(2)

10 Quadratics

503

(58)

10.1 Square Root Property and Completing the Square

504

(9)

10.2 The Quadratic Formula and the Discriminant

513

(9)

10.3 Applications of Quadratic Functions and Solutions of Equations Using Quadratic Methods

522

(9)

10.4 Graphs of Quadratic Functions

531

(9)

10.5 Quadratic and Other Inequalities

540

(11)

Chapter Summary

551

(3)

Chapter Test

554

(1)

Cumulative Review: Chapter 9 and 10

555

(4)

Careers & Mathematics

559

(2)

11 Functions and Their Inverses

561

(60)

11.1 Algebra of Functions

562

(7)

11.2 Inverse Functions

569

(9)

11.3 Exponential Functions

578

(11)

11.4 Logarithmic Functions

589

(9)

11.5 Properties of Logarithms

598

(8)

11.6 Exponential and Logarithmic Equations

606

(7)

Chapter Summary

613

(4)

Chapter Test

617

(2)

Careers & Mathematics

619

(2)

12 Systems of Equations and Inequalities

621

12.1 Solving Systems of Two Equations in Two Variables

622

(8)

12.2 Applications of Systems of Two Equations in Two Variables

630

(9)

12.3 Solving Systems of Three Equations in Three Variables

639

(6)

12.4 Using Matrices to Solve Systems of Equations

645

(9)

12.5 Using Determinants to Solve Systems of Equations

654

(7)

12.6 Systems of Inequalities

661

(6)

Chapter Summary

667

(2)

Chapter Test

669

(1)

Cumulative Review: Chapter 11 and 12

670

(3)

Careers & Mathematics

673

APPENDIX A CONIC SECTIONS

A-1

(13)

APPENDIX B BINOMIAL THEOREM

A-14

(5)

APPENDIX C ARITHMETIC AND GEOMETRIC SEQUENCES

A-19

(9)

APPENDIX D PERMUTATIONS AND COMBINATIONS

A-28

(8)

APPENDIX E ANSWERS TO SELECTED EXERCISES

A-36

GLOSSARY/INDEX

I-1

(5)

APPLICATIONS INDEX

I-6

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Beginning and Intermediate Algebra with Graphing Calculators An Integrated Approach

Summary

Table of Contents

Supplemental Materials