Elementary algebra / Mark Dugopolski.

CONTENT
Real Numbers and Their Properties 1
1.1 The Real Numbers 2
1.2 Fractions 9
1.3 Addition and Subtraction of Real Numbers 20
1.4 Multiplication and Division of Real Numbers 26
1.5 Exponential Expressions and the Order of Operations 30
1.6 Algebraic Expressions 37
1.7 Properties of the Real Numbers 45
1.8 Using the Properties to Simplify Expressions 53
Collaborative Activities 60
Summary 61
Enriching Your Mathematical Word Power 63
Review Exercises 64
Chapter 1 Test 66

Linear Equations and Inequalities in One Variable 67
2.1 The Addition and Multiplication Properties of Equality 68
2.2 Solving General Linear Equations 75
2.3 More Equations 81
2.4 Formulas 88
2.5 Translating Verbal Expressions into Algebraic Expressions 97
2.6 Number, Geometric, and Uniform Motion Applications 106
2.7 Discount, Investment, and Mixture Applications 113
2.8 Inequalities 120
2.9 Solving Inequalities and Applications 126
Collaborative Activities 134
Summary 135
Enriching Your Mathematical Word Power 136
Review Exercises 137
Chapter 2 Test 141
Making Connections Chapters 1-2 142

Linear Equations in Two Variables and Their Graphs 143
3.1 Graphing Lines in the Coordinate Plane 144
3.2 Slope 157
3.3 Equations of Lines in Slope-Intercept Form 169
3.4 The Point-Slope Form 178
3.5 Variation 188
Collaborative Activities 196
Summary 196
Enriching Your Mathematical Word Power 197
Review Exercises 198
Chapter 3 Test 202
Making Connections Chapters 1-3 204

Systems of Linear Equations and Inequalities 205
4.1 The Graphing Method 206
4.2 The Substitution Method 213
4.3 The Addition Method 219
4.4 Graphing Linear Inequalities in Two Variables 226
4.5 Graphing Systems of Linear Inequalities 234
Collaborative Activities 241
Summary 241
Enriching Your Mathematical Word Power 242
Review Exercises 243
Chapter 4 Test 246
Making Connections Chapters 1-4 247

Polynomials and Exponents 249
5.1 Addition and Subtraction of Polynomials 250
5.2 Multiplication of Polynomials 258
5.3 Multiplication of Binomials 264
5.4 Special Products 268
5.5 Division of Polynomials 273
5.6 Nonnegative Integral Exponents 280
5.7 Negative Exponents and Scientific Notation 285
Collaborative Activities 294
Summary 295
Enriching Your Mathematical Word Power 297
Review Exercises 298
Chapter 5 Test 301
Making Connections Chapters 1-5 302

Factoring 303
6.1 Factoring Out Common Factors 304
6.2 Factoring the Special Products and Factoring by Grouping 310
6.3 Factoring ax2 _ bx _ c with a _ 1 316
6.4 Factoring ax2 _ bx _ c with a _ 1 322
6.5 Factoring a Difference or Sum of Two Cubes 329
6.6 Solving Quadratic Equations by Factoring 333
Collaborative Activities 342
Summary 343
Enriching Your Mathematical Word Power 344
Review Exercises 345
Chapter 6 Test 347
Making Connections Chapters 1-6 348

Rational Expressions 349
7.1 Reducing Rational Expressions 350
7.2 Multiplication and Division 359
7.3 Finding the Least Common Denominator 366
7.4 Addition and Subtraction 372
7.5 Complex Fractions 380
7.6 Solving Equations with Rational Expressions 386
7.7 Applications of Ratios and Proportions 391
7.8 Applications of Rational Expressions 399
Collaborative Activities 406
Summary 407
Enriching Your Mathematical Word Power 408
Review Exercises 409
Chapter 7 Test 413
Making Connections Chapters 1-7 414

Powers and Roots 415
8.1 Roots, Radicals, and Rules 416
8.2 Simplifying Square Roots 422
8.3 Operations with Radicals 428
8.4 Solving Equations with Radicals and Exponents 434
8.5 Fractional Exponents 442
Collaborative Activities 449
Summary 449
Enriching Your Mathematical Word Power 451
Review Exercises 452
Chapter 8 Test 454
Making Connections Chapters 1-8 455

Quadratic Equations, Parabolas, and Functions 457
9.1 The Square Root Property and Factoring 458
9.2 Completing the Square 463
9.3 The Quadratic Formula 470
9.4 Applications of Quadratic Equations 476
9.5 Complex Numbers 481
9.6 Graphing Parabolas 489
9.7 Introduction to Functions 497
9.8 Combining Functions 509
Collaborative Activities 516
Summary 517
Enriching Your Mathematical Word Power 519
Review Exercises 520
Chapter 9 Test 523
Making Connections Chapters 1-9 524

Includes index.