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CHAPTR 1 The 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 PROJECTS80

SUMMARY90

REVIEW EXERCISES94

CHAPTER 1 TEST97

CHAPTER 2 Linear Equations and inequalities in one variable101

2.1 The Addition Property of Equality102

2.2 The Multiplication Property of Equality110

2.3 Solving Linear Equations118

2.4 Formulas and Percents126

2.5 An Introduction to Problem Solving135

2.6 Problem Solving in Geometry147

2.7 Solving Linear Inequalities159

CHAPTER 2 GROUP PROJECTS172

SUMMARY173

REVIEW EXERCISES178

CHAPTER 2 TEST181

CUMULATIVE REVIEW EXERCISES（CHAPTERS1-2）182

CHAPTER 3 Linear Equations in Two Variables185

3.1 Graphing Linear Equations186

3.2 Graphing Linear Equations Using Intercepts198

3.3 Slope208

3.4 The Slope-Intercept Form of the Equation of a Line217

3.5 The Point-Slope Form of the Equation of a Line225

CHAPTER 3 GROUP PROJECTS235

SUMMARY236

REVIEW EXERCISES239

CHAPTER 3 TEST242

CUMULATIVE REVIEW EXERCISES（CHAPTERS1-3）243

CHAPTER 4 systems of Linear Equations245

4.1 Solving Systems of Linear Equations by Graphing246

4.2 Solving Systems of Linear Equations by the Substitution Method255

4.3 Solving Systems of Linear Equations by the Addition Method262

4.4 Problem Solving Using Systems of Equations271

CHAPTER 4 GROUP PROJECTS286

SUMMARY287

REVIEW EXERCISES289

CHAPTER 4 TEST291

CUMULATIVE REVIEW EXERCISES（CHAPTERS1-4）292

CHAPTER 5 Exponents and Polynomials295

5.1 Adding and Subtracting Polynomials296

5.2 Multiplying Polynomials304

5.3 Special Products315

5.4 Polynomials in Several Variables324

5.5 Dividing Polynomials332

5.6 Dividing Polynomials by Binomials;Synthetic Division340

5.7 Negative Exponents and Scientific Notation351

CHAPTER 5 GROUP PROJECTS363

SUMMARY364

REVIEW EXERCISES367

CHAPTER 5 TEST370

CUMULATIVE REVIEW EXERCISES（CHAPTERS1-5）370

CHAPTER 6 Factoring Polynomials373

6.1 The Greatest Common Factor and Factoring by Grouping374

6.2 Factoring Trinomials Whose Leading Coefficient Is One382

6.3 Factoring Trinomials Whose Leading Coefficient Is Not One389

6.4 Factoring Special Forms396

6.5 A General Factoring Strategy403

6.6 Solving Quadratic Equations by Factoring411

CHAPTER 6 GROUP PROJECTS423

SUMMARY424

REVIEW EXERCISES426

CHAPTER 6 TEST428

CUMULATIVE REVIEW EXERCISES（CHAPTERS1-6）428

CHAPTER 7 Rational Expressions431

7.1 Rational Expressions and Their Simplification432

7.2 Multiplying and Dividing Rational Expressions441

7.3 Adding and Subtracting Rational Expressions with the Same Denominators448

7.4 Adding and Subtracting Rational Expressions with Different Denominators456

7.5 Complex Rational Expressions467

7.6 Solving Rational Equations474

7.7 Applications Using Rational Equations and Proportions484

7.8 Modeling Using Variation495

CHAPTER 7 GROUP PROJECTS505

SUMMARY506

REVIEW EXERCISES511

CHAPTER 7 TEST514

CUMULATIVE REVIEW EXERCISES（CHAPTERS1-7）515

CHAPTER 8 Functions：More on systems of Linear Equations517

8.1 Introduction to Functions518

8.2 The Algebra of Functions530

8.3 Systems of Linear Equations in Three Variables541

8.4 Matrix Solutions to Systems of Linear Equations552

8.5 Determinants and Cramer’s Rule574

SUMMARY575

REVIEW EXERCISES580

CHAPTER 8 TEST583

CUMULATIVE REVIEW EXERCISES（CHAPTERS1-8）584

CHAPTER 9 Inequalities and Problem Solving587

9.1 Interval Notation and Business Applications Using Linear Inequalities588

9.2 Compound Inequalities600

9.3 Equations and Inequalities Involving Absolute Value608

9.4 Linear Inequalities in Two Variables616

9.5 Linear Programming625

CHAPTER 9 GROUP PROJECTS634

SUMMARY635

REVIEW EXERCISES638

CHAPTER 9 TEST640

CUMULATIVE REVIEW EXERCISES（CHAPTERS1-9）641

CHAPTER 10 Radicals，Radical Functions，and Rational Exponents694

10.1 Radical Expressions and Functions644

10.2 Rational Exponents656

10.3 Multiplying and Simplifying Radical Expressions667

10.4 Adding，Subtracting，and Dividing Radical Expressions675

10.5 Multiplying with More Than One Term and Rationalizing Denominators682

10.6 Radical Equations694

10.7 Complex Numbers703

CHAPTER 10 GROUP PROJECTS712

SUMMARY713

REVIEW EXERCISES716

CHAPTER 10 TEST718

CUMULATIVE REVIEW EXERCISES（CHAPTERS1-10）719

CHAPTER 11 Quadratic Equations and Functions722

11.1 The Square Root Property and Completing the Square722

11.2 The Quadratic Formula736

11.3 Quadratic Functions and Their Graphs751

11.4 Equations Quadratic in Form766

11.5 Quadratic and Rational Inequalities774

CHAPTER 11 GROUP PROJECTS785

SUMMARY787

REVIEW EXERCISES790

CHAPTER 11 TEST792

CUMULATIVE REVIEW EXERCISES（CHAPTERS1-11）793

CHAPTER 12 Exponential and Logarithmic Functions795

12.1 Exponential Functions796

12.2 Composite and Inverse Functions808

12.3 Logarithmic Functions821

12.4 Properties of Logarithms832

12.5 Exponential and Logarithmic Equations842

12.6 Exponential Growth and Decay;Modeling Data854

CHAPTER 12 GROUP PROJECTS865

SUMMARY866

REVIEW EXERCISES870

CHAPTER 12 TEST874

CUMULATIVE REVIEW EXERCISES（CHAPTERS1-12）875

CHAPTER 13 Conic Sections and Systems of Nonlinear Equations878

13.1 Distance and Midpoint Formulas;Circles878

13.2 The Ellipse887

13.3 The Hyperbola898

13.4 The Parabola;Identifying Conic Sections908

13.5 Systems of Nonlinear Equations in Two Variables921

CHAPTER 13 GROUP PROJECTS931

SUMMARY932

REVIEW EXERCISES934

CHAPTER 13 TEST936

CUMULATIVE REVIEW EXERCISES（CHAPTERS1-13）937

CHAPTER 14 Sequences，Induction，and Probability939

14.1 Sequences and Summation Notation940

14.2 Arithmetic Sequences949

14.3 Geometric Sequences and Series958

14.4 The Binomial Theorem973

14.5 Counting Principles，Permutations，and Combinations981

14.6 Probability992

CHAPTER 14 GROUP PROJECTS1005

SUMMARY1006

REVIEW EXERCISES1010

CHAPTER 14 TEST1012

CUMULATIVE REVIEW EXERCISES（COVERINGTHEENTIREBOOK）1013

Appendices1017

A:Are You Prepared for Intermediate Algebra?1017

B:Where Did That Come From?Selected Proofs1020