Intermediate Algebra : A Just-in-Time Approach

Think of it as portable office hours! The Interactive Video Skillbuilder CD-ROM contains more than eight hours of video instruction. The problems worked during each video lesson are shown next to the viewing screen so that student can try working them before watching the solution. To help students evaluate their progress, each section contains a 10-question Web quiz (the results of which can be emailed to the instructor) and each chapter contains a chapter test, with answers to each problem on each test. Also includes MathCue Tutorial software. This dual-platform software presents and scores problems and tutor students by displaying annotated, step-by-step solutions. Problem sets may be customized as desired.

Preface

vii

To the Student

xix

Expressions and Equations

1

(72)

Review of Real Numbers

2

(16)

Input-Output Tables and Expressions in Algebraic Notation

18

(13)

Coordinate Graphs and Equations

31

(17)

Mid---Chapter 1 Test

46

(2)

Solving Equations in One Variable and Formulas

48

(9)

Solving Inequalities in One and Two Variables

57

(16)

Summary

69

(1)

Review Exercises

70

(2)

Test

72

(1)

Equations, Functions, and Linear Functions

73

(77)

Writing and Solving Linear Equations

74

(10)

Functions

84

(15)

Linear Functions

99

(17)

Mid---Chapter 2 Test

115

(1)

Modeling with a Linear Function

116

(12)

Special Functions

128

(22)

Summary

141

(2)

Review Exercises

143

(4)

Test

147

(1)

Cumulative Review of Chapters 1 and 2

148

(2)

Quadratic Functions: Applications and Solutions to Equations

150

(90)

Basic Operations on Polynomials

151

(12)

The Square Root Function and the Pythagorean Theorem

163

(15)

Quadratic Functions and Solving Quadratic Equations with Tables and Graphs

178

(16)

Mid---Chapter 3 Test

193

(1)

Solving Quadratic Equations with Factors and Square Roots

194

(13)

Solving Quadratic Equations with the Quadratic Formula

207

(12)

Solving Quadratic Inequalities with Tables and Graphs

219

(21)

Summary

232

(2)

Review Exercises

234

(4)

Test

238

(2)

Quadratic Functions: Special Topics

240

(72)

Special Products of Binomials and Higher Order Polynomials and Their Graphs

241

(13)

Modeling Quadratic Functions

254

(8)

The Role of a, b, and c in Graphing Quadratic Functions

262

(9)

Complex Numbers and Graphs of Functions

271

(11)

Mid---Chapter 4 Test

282

(1)

Shifts, Vertex Form, and Applications of Quadratic Functions

282

(11)

Solving Minimum and Maximum Problems

293

(19)

Summary

304

(2)

Review Exercises

306

(3)

Test

309

(2)

Cumulative Review of Chapters 1 to 4

311

(1)

Rational Functions and Variation

312

(94)

Review of Rational Number and Unit Analysis

313

(9)

Ratios, Proportions, and Direct Variation

322

(15)

Inverse Variation and Related Graphs

337

(14)

Simplification, Multiplication, and Division of Rational Expressions

351

(12)

Mid---Chapter 5 Test

362

(1)

Addition and Substraction of Rational Expressions

363

(11)

Division of Polynomials and Related Graphs

374

(11)

Solving Rational Equations

385

(21)

Summary

398

(2)

Review Exercises

400

(4)

Test

404

(2)

Exponents and Radicals

406

(66)

Review of Exponents and Scientific Notation

407

(11)

Rational Exponents

418

(11)

Roots and Rational Exponents

429

(10)

Mid---Chapter 6 Test

439

(1)

More Operations with Radicals

439

(10)

Inverse Functions: Solving Power and Root Equations

449

(23)

Summary

465

(1)

Review Exercises

466

(3)

Test

469

(1)

Cumulative Review of Chapter 1 to 6

470

(2)

Exponential and Logarithmic Functions

472

(77)

Patterns, Geometric Sequences, and Exponential Equations

473

(10)

Exponential Functions and Graphs

483

(11)

Solving Exponential Equations: Like Bases and Logarithms

494

(11)

Mid---Chapter 7 Test

504

(1)

Applications of Exponential and Logarithmic Functions

505

(14)

Properties of Logarithms and the Logarithmic Scale

519

(11)

The Natural Number e in Exponential and Logarithmic Functions

530

(19)

Summary

542

(2)

Review Exercises

544

(3)

Test

547

(2)

Systems of Equations

549

(87)

Solving Systems of Equations by Substitution and Elimination

550

(12)

Solving Systems of Two Linear Equations by Graphing

562

(10)

Solving Systems of Two Linear Equations with Matrices

572

(13)

Mid---Chapter 8 Test

585

(1)

Matrix Solutions of Systems of Three or More Linear Equations

585

(10)

Conic Sections

595

(15)

Solving Nonlinear Systems of Equations by Substitution and Graphing

610

(11)

Solving Systems of Inequalities

621

(15)

Summary

626

(2)

Review Exercises

628

(1)

Test

629

(2)

Final Exam Review

631

(5)

Appendix 1 Selected Formulas

636

(3)

Appendix 2 Sequences and Sums

639

(8)

Appendix 3 The Binomial Theorem

647

(7)

Calculator Objectives

654

(1)

Selected Answers

655

(30)

Index of Projects

685

(2)

Index of Applications

687

(2)

Glossary/Index

689

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Intermediate Algebra : A Just-in-Time Approach

Summary

Table of Contents

Supplemental Materials