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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