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Copyright, ii
List of Applications, vii
Preface, xi
Feature Walkthrough, xix
Chapter 1. Review of the Real Number System, 1
1.1. Basic Concepts, 2
1.2. Operations on Real Numbers, 16
1.3. Exponents, Roots, and Order of Operations, 26
1.4. Properties of Real Numbers, 35
Chapter 1 Group Activity How Americans Spend Their Money, 43
Chapter 1 Summary, 44
Chapter 1 Review Exercises, 47
Chapter 1 Test, 50
Chapter 2. Linear Equations, Inequalities, and Applications, 53
2.1. Linear Equations in One Variable, 54
2.2. Formulas, 63
2.3. Applications of Linear Equations, 73
2.4. Further Applications of Linear Equations, 88
Summary Exercises on Solving Applied Problems, 97
2.5. Linear Inequalities in One Variable, 99
2.6. Set Operations and Compound Inequalities, 113
2.7. Absolute Value Equations and Inequalities, 122
Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities, 132
Chapter 2 Group Activity Comparing Long-Distance Costs, 133
Chapter 2 Summary, 134
Chapter 2 Review Exercises, 138
Chapter 2 Test, 143
Chapters 1–2 Cumulative Review Exercises, 145
Chapter 3. Graphs, Linear Equations, and Functions, 147
3.1. The Rectangular Coordinate System, 148
3.2. The Slope of a Line, 161
3.3. Linear Equations in Two Variables, 176
Summary Exercises on Slopes and Equations of Lines, 192
3.4. Linear Inequalities in Two Variables, 193
3.5. Introduction to Functions, 200
Chapter 3 Group Activity Choosing an Energy Source, 215
Chapter 3 Summary, 216
Chapter 3 Review Exercises, 219
Chapter 3 Test, 223
Chapters 1–3 Cumulative Review Exercises, 225
Chapter 4. Systems of Linear Equations, 227
4.1. Systems of Linear Equations in Two Variables, 228
4.2. Systems of Linear Equations in Three Variables, 244
4.3. Applications of Systems of Linear Equations, 251
4.4. Solving Systems of Linear Equations by Matrix Methods, 266
Chapter 4 Group Activity Creating Linear Models to Analyze the Number of AIDS Patients, 274
Chapter 4 Summary, 275
Chapter 4 Review Exercises, 278
Chapter 4 Test, 281
Chapters 1–4 Cumulative Review Exercises, 283
Chapter 5. Exponents, Polynomials, and Polynomial Functions, 285
5.1. Integer Exponents and Scientific Notation, 286
5.2. Adding and Subtracting Polynomials, 302
5.3. Polynomial Functions, Graphs, and Composition, 308
5.4. Multiplying Polynomials, 318
5.5. Dividing Polynomials, 327
Chapter 5 Group Activity Comparing Mathematical Models, 334
Chapter 5 Summary, 335
Chapter 5 Review Exercises, 338
Chapter 5 Test, 341
Chapters 1–5 Cumulative Review Exercises, 343
Chapter 6. Factoring, 345
6.1. Greatest Common Factors; Factoring by Grouping, 346
6.2. Factoring Trinomials, 352
6.3. Special Factoring, 360
6.4. A General Approach to Factoring, 366
6.5. Solving Equations by Factoring, 370
Chapter 6 Group Activity Finding the Height of a Projected Object, 381
Chapter 6 Summary, 382
Chapter 6 Review Exercises, 384
Chapter 6 Test, 386
Chapters 1–6 Cumulative Review Exercises, 387
Chapter 7. Rational Expressions and Functions, 389
7.1. Rational Expressions and Functions; Multiplying and Dividing, 390
7.2. Adding and Subtracting Rational Expressions, 401
7.3. Complex Fractions, 411
7.4. Equations with Rational Expressions and Graphs, 418
Summary Exercises on Rational Expressions and Equations, 426
7.5. Applications of Rational Expressions, 428
7.6. Variation, 440
Chapter 7 Group Activity It Depends on What You Mean by “Average”, 450
Chapter 7 Summary, 452
Chapter 7 Review Exercises, 457
Chapter 7 Test, 460
Chapters 1–7 Cumulative Review Exercises, 462
Chapter 8. Roots, Radicals, and Root Functions, 465
8.1. Radical Expressions and Graphs, 466
8.2. Rational Exponents, 474
8.3. Simplifying Radical Expressions, 482
8.4. Adding and Subtracting Radical Expressions, 492
8.5. Multiplying and Dividing Radical Expressions, 498
Summary Exercises on Operations with Radicals and Rational Exponents, 507
8.6. Solving Equations with Radicals, 508
8.7. Complex Numbers, 516
Chapter 8 Group Activity Solar Electricity, 524
Chapter 8 Summary, 525
Chapter 8 Review Exercises, 529
Chapter 8 Test, 533
Chapters 1–8 Cumulative Review Exercises, 534
Chapter 9. Quadratic Equations, Inequalities, and Functions, 537
9.1. The Square Root Property and Completing the Square, 538
9.2. The Quadratic Formula, 549
9.3. Equations Quadratic in Form, 556
Summary Exercises on Solving Quadratic Equations, 567
9.4. Formulas and Further Applications, 568
9.5. Graphs of Quadratic Functions, 578
9.6. More about Parabolas and Their Applications, 589
9.7. Quadratic and Rational Inequalities, 602
Chapter 9 Group Activity Finding the Path of a Comet, 610
Chapter 9 Summary, 611
Chapter 9 Review Exercises, 615
Chapter 9 Test, 620
Chapters 1–9 Cumulative Review Exercises, 622
Chapter 10. Inverse, Exponential, and Logarithmic Functions, 625
10.1. Inverse Functions, 626
10.2. Exponential Functions, 635
10.3. Logarithmic Functions, 644
10.4. Properties of Logarithms, 653
10.5. Common and Natural Logarithms, 661
10.6. Exponential and Logarithmic Equations; Further Applications, 671
Chapter 10 Group Activity How Much Space Do We Need?, 683
Chapter 10 Summary, 684
Chapter 10 Review Exercises, 688
Chapter 10 Test, 692
Chapters 1–10 Cumulative Review Exercises, 694
Chapter 11. Nonlinear Functions, Conic Sections, and Nonlinear Systems, 697
11.1. Additional Graphs of Functions, 698
11.2. The Circle and the Ellipse, 703
11.3. The Hyperbola and Functions Defined by Radicals, 712
11.4. Nonlinear Systems of Equations, 721
11.5. Second-Degree Inequalities and Systems of Inequalities, 728
Chapter 11 Group Activity Finding the Paths of Natural Satellites, 734
Chapter 11 Summary, 735
Chapter 11 Review Exercises, 739
Chapter 11 Test, 741
Chapters 1–11 Cumulative Review Exercises, 742
Chapter 12. Sequences and Series, 745
12.1. Sequences and Series, 746
12.2. Arithmetic Sequences, 753
12.3. Geometric Sequences, 761
12.4. The Binomial Theorem, 772
Chapter 12 Group Activity Investing for the Future, 778
Chapter 12 Summary, 779
Chapter 12 Review Exercises, 782
Chapter 12 Test, 784
Chapters 1–12 Cumulative Review Exercises, 785
Appendix A. An Introduction to Calculators, 789
Appendix B. Determinants and Cramer’s Rule, 795
Appendix C. Synthetic Division, 805
Answers to Selected Exercises, A-1
Glossary, G-1
Index, I-1
Photo Credits, EP-1
For the Student: 10 Ways to Succeed with Algebra, EM-1
Triangles and Angles, EM-2
Formulas, EM-3
Other Formulas, EM-4

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