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introductory algebra for college students third edition
introductory algebra for college students third edition

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《introductory algebra for college students third edition》目录
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CHAPTER 1The Real Number system 3

1.1 Fractions 4

1.2 The Real Numbers 14

1.3 Ordered Pairs and Graphs 25

1.4 Basic Rules of Algebra 35

1.5 Addition of Real Numbers 47

1.6 Subtraction of Real Numbers 55

1.7 Multiplication and Division of Real Numbers 63

1.8 Exponents, Order of Operations, and Mathematical Models 75

CHAPTER 1 GROUP PROJECTS 89

SUMMARY 90

REVIEW EXERCISES 94

CHAPTER 1 TEST 97Linear Equations and inequalities in one VariableThe Addition Property of Equality 101

The Multiplication Property of Equality 110

Solving Linear Equations 118

Formulas and Percents 126

An Introduction to Problem Solving 135

Solving Linear Inequalities 147

CHAPTER 2 GROUP PROJECTS 160

SUMMARY 161

REVIEW EXERCISES 165

CHAPTER 2 TEST 166

CUMULATIVE REVIEW EXERCISES CHAPTERS 1-2) 167

CHAPTER 3 Problem solving 169

3.1 Further Problem Solving 170

3.2 Ratio and Proportion 181

3.3 Problem Solving in Geometry 189

CHAPTER 3 GROUP PROJECTS 201

SUMMARY 202

REVIEW EXERCISES 205

CHAPTER 3 TEST 207

CUMULATIVE REVIEW EXERCISES CHAPTERS 1-3) 208

CHAPTER 4Linear Equations and inequalities in TWO variables 211

4.1 Graphing Linear Equations 212

4.2 Graphing Linear Equations Using Intercepts 224

4.3 Slope 234

4.4 The Slope-Intercept Form of the Equation of a Line 243

4.5 The Point-Slope Form of the Equation of a Line 251

4.6 Linear Inequalities in Two Variables 258

CHAPTER 4 GROUP PROJECTS 265

SUMMARY 266

REVIEW EXERCISES 269

CHAPTER 4 TEST 272

CUMULATIVE REVIEW EXERCISES CHAPTERS 1-4) 273

CHAPTER5 systems of Linear Equations and inequalities 275

5.1 Solving Systems of Linear Equations by Graphing 276

5.2 Solving Systems of Linear Equations by the Substitution Method 285

5.3 Solving Systems of Linear Equations by the Addition Method 292

5.4 Problem Solving Using Systems of Equations 300

5.5 Systems of Linear Inequalities 311

CHAPTER 5 GROUP PROJECTS 316

SUMMARY 317

REVIEW EXERCISES 319

CHAPTER 5 TEST 320

CUMULATIVE REVIEW EXERCISES CHAPTERS 1-5) 321

CHAPTER 6 Exponents and Polynomials 323

6.1 Adding and Subtracting Polynomials 324

6.2 Multiplying Polynomials 332

6.3 Special Products 343

6.4 Polynomials in Several Variables 352

6.5 Dividing Polynomials 360

6.6 Dividing Polynomials by Binomials 368

6.7 Negative Exponents and Scientific Notation 376

CHAPTER 6 GROUP PROJECTS 388

SUMMARY 389

REVIEW EXERCISES 392

CHAPTER 6 TEST 394

CUMULATIVE REVIEW EXERCISES CHAPTERS 1-6) 395

CHAPTER 7 Factoring Polynomials 397

7.1 The Greatest Common Factor and Factoring by Grouping 398

7.2 Factoring Trinomials Whose Leading Coefficient Is One 406

7.3 Factoring Trinomials Whose Leading Coefficient Is Not One 413

7.4 Factoring Special Forms 420

7.5 A General Factoring Strategy 427

7.6 Solving Quadratic Equations by Factoring 435

CHAPTER 7 GROUP PROJECTS 447

SUMMARY 448

REVIEW EXERCISES 450

CHAPTER 7 TEST 452

CUMULATIVE REVIEW EXERCISES CHAPTERS 1-7) 452

CHAPTER8 Rational Expressions 455

8.1 Rational Expressions and Their Simplification 456

8.2 Multiplying and Dividing Rational Expressions 465

8.3 Adding and SubtractingRational Expressions with the Same Denominator 472

8.4 Adding and SubtractingRational Expressions with Different Denominators 480

8.5 Complex Rational Expressions 491

8.6 Solving Rational Equations 498

8.7 Applications Using Rational Equations and Variation 507

CHAPTER 8 GROUP PROJECTS 523

SUMMARY 524

REVIEW EXERCISES 529

CHAPTER 8 TEST 530

CUMULATIVE REVIEW EXERCISES CHAPTERS 1-8) 531

CHAPTER 9 Roots and Radicals 533

9.1 Finding Roots 534

9.2 Multiplying and Dividing Radicals 542

9.3 Operations with Radicals 551

9.4 Rationalizing the Denominator 556

9.5 Radical Equations 563

9.6 Rational Exponents 570

CHAPTER 9 GROUP PROJECTS 576

SUMMARY 577

REVIEW EXERCISES 579

CHAPTER 9 TEST 580

CUMULATIVE REVIEW EXERCISES CHAPTERS 1-9) 581

CHAPTER 10 Quadratic Equations and Functions 583

10.1 Solving Quadratic Equations by the Square Root Property 584

10.2 Solving Quadratic Equations by Completing the Square 592

10.3 The Quadratic Formula 597

10.4 Imaginary Numbers as Solutions of Quadratic Equations 606

10.5 Graphs of Quadratic Equations 611

10.6 Introduction to Functions 621

CHAPTER 10 GROUP PROJECTS 631

SUMMARY 632

REVIEW EXERCISES 635

CHAPTER 10 TEST 637

CUMULATIVE REVIEW EXERCISES COVERING THE ENTIRE BOOK 638

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