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introductory algebra for college students third edition
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图书目录

CHAPTER 1The Real Number system3

1.1 Fractions4

1.2 The Real Numbers14

1.3 Ordered Pairs and Graphs25

1.4 Basic Rules of Algebra35

1.5 Addition of Real Numbers47

1.6 Subtraction of Real Numbers55

1.7 Multiplication and Division of Real Numbers63

1.8 Exponents, Order of Operations, and Mathematical Models75

CHAPTER 1 GROUP PROJECTS89

SUMMARY90

REVIEW EXERCISES94

CHAPTER 1 TEST 97Linear Equations and inequalities in one VariableThe Addition Property of Equality101

The Multiplication Property of Equality110

Solving Linear Equations118

Formulas and Percents126

An Introduction to Problem Solving135

Solving Linear Inequalities147

CHAPTER 2 GROUP PROJECTS160

SUMMARY161

REVIEW EXERCISES165

CHAPTER 2 TEST166

CUMULATIVE REVIEW EXERCISES CHAPTERS 1-2)167

CHAPTER 3 Problem solving169

3.1 Further Problem Solving170

3.2 Ratio and Proportion181

3.3 Problem Solving in Geometry189

CHAPTER 3 GROUP PROJECTS201

SUMMARY202

REVIEW EXERCISES205

CHAPTER 3 TEST207

CUMULATIVE REVIEW EXERCISES CHAPTERS 1-3)208

CHAPTER 4Linear Equations and inequalities in TWO variables211

4.1 Graphing Linear Equations212

4.2 Graphing Linear Equations Using Intercepts224

4.3 Slope234

4.4 The Slope-Intercept Form of the Equation of a Line243

4.5 The Point-Slope Form of the Equation of a Line251

4.6 Linear Inequalities in Two Variables258

CHAPTER 4 GROUP PROJECTS265

SUMMARY266

REVIEW EXERCISES269

CHAPTER 4 TEST272

CUMULATIVE REVIEW EXERCISES CHAPTERS 1-4)273

CHAPTER5 systems of Linear Equations and inequalities275

5.1 Solving Systems of Linear Equations by Graphing276

5.2 Solving Systems of Linear Equations by the Substitution Method285

5.3 Solving Systems of Linear Equations by the Addition Method292

5.4 Problem Solving Using Systems of Equations300

5.5 Systems of Linear Inequalities311

CHAPTER 5 GROUP PROJECTS316

SUMMARY317

REVIEW EXERCISES319

CHAPTER 5 TEST320

CUMULATIVE REVIEW EXERCISES CHAPTERS 1-5)321

CHAPTER 6 Exponents and Polynomials323

6.1 Adding and Subtracting Polynomials324

6.2 Multiplying Polynomials332

6.3 Special Products343

6.4 Polynomials in Several Variables352

6.5 Dividing Polynomials360

6.6 Dividing Polynomials by Binomials368

6.7 Negative Exponents and Scientific Notation376

CHAPTER 6 GROUP PROJECTS388

SUMMARY389

REVIEW EXERCISES392

CHAPTER 6 TEST394

CUMULATIVE REVIEW EXERCISES CHAPTERS 1-6)395

CHAPTER 7 Factoring Polynomials397

7.1 The Greatest Common Factor and Factoring by Grouping398

7.2 Factoring Trinomials Whose Leading Coefficient Is One406

7.3 Factoring Trinomials Whose Leading Coefficient Is Not One413

7.4 Factoring Special Forms420

7.5 A General Factoring Strategy427

7.6 Solving Quadratic Equations by Factoring435

CHAPTER 7 GROUP PROJECTS447

SUMMARY448

REVIEW EXERCISES450

CHAPTER 7 TEST452

CUMULATIVE REVIEW EXERCISES CHAPTERS 1-7)452

CHAPTER8 Rational Expressions455

8.1 Rational Expressions and Their Simplification456

8.2 Multiplying and Dividing Rational Expressions465

8.3 Adding and SubtractingRational Expressions with the Same Denominator472

8.4 Adding and SubtractingRational Expressions with Different Denominators480

8.5 Complex Rational Expressions491

8.6 Solving Rational Equations498

8.7 Applications Using Rational Equations and Variation507

CHAPTER 8 GROUP PROJECTS523

SUMMARY524

REVIEW EXERCISES529

CHAPTER 8 TEST530

CUMULATIVE REVIEW EXERCISES CHAPTERS 1-8)531

CHAPTER 9 Roots and Radicals533

9.1 Finding Roots534

9.2 Multiplying and Dividing Radicals542

9.3 Operations with Radicals551

9.4 Rationalizing the Denominator556

9.5 Radical Equations563

9.6 Rational Exponents570

CHAPTER 9 GROUP PROJECTS576

SUMMARY577

REVIEW EXERCISES579

CHAPTER 9 TEST580

CUMULATIVE REVIEW EXERCISES CHAPTERS 1-9)581

CHAPTER 10 Quadratic Equations and Functions583

10.1 Solving Quadratic Equations by the Square Root Property584

10.2 Solving Quadratic Equations by Completing the Square592

10.3 The Quadratic Formula597

10.4 Imaginary Numbers as Solutions of Quadratic Equations606

10.5 Graphs of Quadratic Equations611

10.6 Introduction to Functions621

CHAPTER 10 GROUP PROJECTS631

SUMMARY632

REVIEW EXERCISES635

CHAPTER 10 TEST637

CUMULATIVE REVIEW EXERCISES COVERING THE ENTIRE BOOK638

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