INTRODUCTORY AND INTERMEDIATE ALGEBRA FOR COLLEGE STUDENTSPDF电子书下载

CHAPTR 1 The 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 80

SUMMARY 90

REVIEW EXERCISES 94

CHAPTER 1 TEST 97

CHAPTER 2 Linear Equations and inequalities in one variable 101

2.1 The Addition Property of Equality 102

2.2 The Multiplication Property of Equality 110

2.3 Solving Linear Equations 118

2.4 Formulas and Percents 126

2.5 An Introduction to Problem Solving 135

2.6 Problem Solving in Geometry 147

2.7 Solving Linear Inequalities 159

CHAPTER 2 GROUP PROJECTS 172

SUMMARY 173

REVIEW EXERCISES 178

CHAPTER 2 TEST 181

CUMULATIVE REVIEW EXERCISES（CHAPTERS1-2） 182

CHAPTER 3 Linear Equations in Two Variables 185

3.1 Graphing Linear Equations 186

3.2 Graphing Linear Equations Using Intercepts 198

3.3 Slope 208

3.4 The Slope-Intercept Form of the Equation of a Line 217

3.5 The Point-Slope Form of the Equation of a Line 225

CHAPTER 3 GROUP PROJECTS 235

SUMMARY 236

REVIEW EXERCISES 239

CHAPTER 3 TEST 242

CUMULATIVE REVIEW EXERCISES（CHAPTERS1-3） 243

CHAPTER 4 systems of Linear Equations 245

4.1 Solving Systems of Linear Equations by Graphing 246

4.2 Solving Systems of Linear Equations by the Substitution Method 255

4.3 Solving Systems of Linear Equations by the Addition Method 262

4.4 Problem Solving Using Systems of Equations 271

CHAPTER 4 GROUP PROJECTS 286

SUMMARY 287

REVIEW EXERCISES 289

CHAPTER 4 TEST 291

CUMULATIVE REVIEW EXERCISES（CHAPTERS1-4） 292

CHAPTER 5 Exponents and Polynomials 295

5.1 Adding and Subtracting Polynomials 296

5.2 Multiplying Polynomials 304

5.3 Special Products 315

5.4 Polynomials in Several Variables 324

5.5 Dividing Polynomials 332

5.6 Dividing Polynomials by Binomials;Synthetic Division 340

5.7 Negative Exponents and Scientific Notation 351

CHAPTER 5 GROUP PROJECTS 363

SUMMARY 364

REVIEW EXERCISES 367

CHAPTER 5 TEST 370

CUMULATIVE REVIEW EXERCISES（CHAPTERS1-5） 370

CHAPTER 6 Factoring Polynomials 373

6.1 The Greatest Common Factor and Factoring by Grouping 374

6.2 Factoring Trinomials Whose Leading Coefficient Is One 382

6.3 Factoring Trinomials Whose Leading Coefficient Is Not One 389

6.4 Factoring Special Forms 396

6.5 A General Factoring Strategy 403

6.6 Solving Quadratic Equations by Factoring 411

CHAPTER 6 GROUP PROJECTS 423

SUMMARY 424

REVIEW EXERCISES 426

CHAPTER 6 TEST 428

CUMULATIVE REVIEW EXERCISES（CHAPTERS1-6） 428

CHAPTER 7 Rational Expressions 431

7.1 Rational Expressions and Their Simplification 432

7.2 Multiplying and Dividing Rational Expressions 441

7.3 Adding and Subtracting Rational Expressions with the Same Denominators 448

7.4 Adding and Subtracting Rational Expressions with Different Denominators 456

7.5 Complex Rational Expressions 467

7.6 Solving Rational Equations 474

7.7 Applications Using Rational Equations and Proportions 484

7.8 Modeling Using Variation 495

CHAPTER 7 GROUP PROJECTS 505

SUMMARY 506

REVIEW EXERCISES 511

CHAPTER 7 TEST 514

CUMULATIVE REVIEW EXERCISES（CHAPTERS1-7） 515

CHAPTER 8 Functions：More on systems of Linear Equations 517

8.1 Introduction to Functions 518

8.2 The Algebra of Functions 530

8.3 Systems of Linear Equations in Three Variables 541

8.4 Matrix Solutions to Systems of Linear Equations 552

8.5 Determinants and Cramer’s Rule 574

SUMMARY 575

REVIEW EXERCISES 580

CHAPTER 8 TEST 583

CUMULATIVE REVIEW EXERCISES（CHAPTERS1-8） 584

CHAPTER 9 Inequalities and Problem Solving 587

9.1 Interval Notation and Business Applications Using Linear Inequalities 588

9.2 Compound Inequalities 600

9.3 Equations and Inequalities Involving Absolute Value 608

9.4 Linear Inequalities in Two Variables 616

9.5 Linear Programming 625

CHAPTER 9 GROUP PROJECTS 634

SUMMARY 635

REVIEW EXERCISES 638

CHAPTER 9 TEST 640

CUMULATIVE REVIEW EXERCISES（CHAPTERS1-9） 641

CHAPTER 10 Radicals，Radical Functions，and Rational Exponents 694

10.1 Radical Expressions and Functions 644

10.2 Rational Exponents 656

10.3 Multiplying and Simplifying Radical Expressions 667

10.4 Adding，Subtracting，and Dividing Radical Expressions 675

10.5 Multiplying with More Than One Term and Rationalizing Denominators 682

10.6 Radical Equations 694

10.7 Complex Numbers 703

CHAPTER 10 GROUP PROJECTS 712

SUMMARY 713

REVIEW EXERCISES 716

CHAPTER 10 TEST 718

CUMULATIVE REVIEW EXERCISES（CHAPTERS1-10） 719

CHAPTER 11 Quadratic Equations and Functions 722

11.1 The Square Root Property and Completing the Square 722

11.2 The Quadratic Formula 736

11.3 Quadratic Functions and Their Graphs 751

11.4 Equations Quadratic in Form 766

11.5 Quadratic and Rational Inequalities 774

CHAPTER 11 GROUP PROJECTS 785

SUMMARY 787

REVIEW EXERCISES 790

CHAPTER 11 TEST 792

CUMULATIVE REVIEW EXERCISES（CHAPTERS1-11） 793

CHAPTER 12 Exponential and Logarithmic Functions 795

12.1 Exponential Functions 796

12.2 Composite and Inverse Functions 808

12.3 Logarithmic Functions 821

12.4 Properties of Logarithms 832

12.5 Exponential and Logarithmic Equations 842

12.6 Exponential Growth and Decay;Modeling Data 854

CHAPTER 12 GROUP PROJECTS 865

SUMMARY 866

REVIEW EXERCISES 870

CHAPTER 12 TEST 874

CUMULATIVE REVIEW EXERCISES（CHAPTERS1-12） 875

CHAPTER 13 Conic Sections and Systems of Nonlinear Equations 878

13.1 Distance and Midpoint Formulas;Circles 878

13.2 The Ellipse 887

13.3 The Hyperbola 898

13.4 The Parabola;Identifying Conic Sections 908

13.5 Systems of Nonlinear Equations in Two Variables 921

CHAPTER 13 GROUP PROJECTS 931

SUMMARY 932

REVIEW EXERCISES 934

CHAPTER 13 TEST 936

CUMULATIVE REVIEW EXERCISES（CHAPTERS1-13） 937

CHAPTER 14 Sequences，Induction，and Probability 939

14.1 Sequences and Summation Notation 940

14.2 Arithmetic Sequences 949

14.3 Geometric Sequences and Series 958

14.4 The Binomial Theorem 973

14.5 Counting Principles，Permutations，and Combinations 981

14.6 Probability 992

CHAPTER 14 GROUP PROJECTS 1005

SUMMARY 1006

REVIEW EXERCISES 1010

CHAPTER 14 TEST 1012

CUMULATIVE REVIEW EXERCISES（COVERINGTHEENTIREBOOK） 1013

Appendices 1017

A:Are You Prepared for Intermediate Algebra? 1017

B:Where Did That Come From?Selected Proofs 1020