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Copyright, iv
Preface, xi
To the Student, xvii
1. Basic Concepts, 1
1.1. Study Skills for Success in Mathematics, and Using a Calculator, 2
1.2. Sets and Other Basic Concepts, 6
1.3. Properties of and Operations with Real Numbers, 17
1.4. Order of Operations, 28
Mid-Chapter Test: Sections 1.1–1.4, 40
1.5. Exponents, 40
1.6. Scientific Notation, 50
Chapter 1 Summary, 57
Chapter 1 Review Exercises, 61
Chapter 1 Practice Test, 64
2. Equations and Inequalities, 65
2.1. Solving Linear Equations, 66
2.2. Problem Solving and Using Formulas, 77
2.3. Applications of Algebra, 87
Mid-Chapter Test: Sections 2.1–2.3, 100
2.4. Additional Application Problems, 100
2.5. Solving Linear Inequalities, 110
2.6. Solving Equations and Inequalities Containing Absolute Values, 125
Chapter 2 Summary, 135
Chapter 2 Review Exercises, 138
Chapter 2 Practice Test, 140
Cumulative Review Test, 141
3. Graphs and Functions, 143
3.1. Graphs, 144
3.2. Functions, 158
3.3. Linear Functions: Graphs and Applications, 173
3.4. The Slope-Intercept Form of a Linear Equation, 184
Mid-Chapter Test: Sections 3.1–3.4, 198
3.5. The Point-Slope Form of a Linear Equation, 199
3.6. The Algebra of Functions, 208
3.7. Graphing Linear Inequalities, 218
Chapter 3 Summary, 222
Chapter 3 Review Exercises, 225
Chapter 3 Practice Test, 229
Cumulative Review Test, 231
4. Systems of Equations and Inequalities, 232
4.1. Solving Systems of Linear Equations in Two Variables, 233
4.2. Solving Systems of Linear Equations in Three Variables, 245
4.3. Systems of Linear Equations: Applications and Problem Solving, 252
Mid-Chapter Test: Sections 4.1–4.3, 265
4.4. Solving Systems of Equations Using Matrices, 266
4.5. Solving Systems of Equations Using Determinants and Cramer’s Rule, 275
4.6. Solving Systems of Linear Inequalities, 282
Chapter 4 Summary, 288
Chapter 4 Review Exercises, 293
Chapter 4 Practice Test, 295
Cumulative Review Test, 296
5. Polynomials and Polynomial Functions, 297
5.1. Addition and Subtraction of Polynomials, 298
5.2. Multiplication of Polynomials, 308
5.3. Division of Polynomials and Synthetic Division, 317
5.4. Factoring a Monomial from a Polynomial and Factoring by Grouping, 327
Mid-Chapter Test: Sections 5.1–5.4, 334
5.5. Factoring Trinomials, 335
5.6. Special Factoring Formulas, 346
5.7. A General Review of Factoring, 354
5.8. Polynomial Equations, 358
Chapter 5 Summary, 370
Chapter 5 Review Exercises, 374
Chapter 5 Practice Test, 379
Cumulative Review Test, 380
6. Rational Expressions and Equations, 381
6.1. The Domains of Rational Functions and Multiplication and Division of Rational Expressions, 382
6.2. Addition and Subtraction of Rational Expressions, 392
6.3. Complex Fractions, 403
6.4. Solving Rational Equations, 409
Mid-Chapter Test: Sections 6.1–6.4, 421
6.5. Rational Equations: Applications and Problem Solving, 421
6.6. Variation, 432
Chapter 6 Summary, 440
Chapter 6 Review Exercises, 443
Chapter 6 Practice Test, 446
Cumulative Review Test, 447
7. Roots, Radicals, and Complex Numbers, 448
7.1. Roots and Radicals, 449
7.2. Rational Exponents, 457
7.3. Simplifying Radicals, 465
7.4. Adding, Subtracting, and Multiplying Radicals, 472
Mid-Chapter Test: Sections 7.1–7.4, 479
7.5. Dividing Radicals, 480
7.6. Solving Radical Equations, 489
7.7. Complex Numbers, 500
Chapter 7 Summary, 508
Chapter 7 Review Exercises, 512
Chapter 7 Practice Test, 515
Cumulative Review Test, 516
8. Quadratic Functions, 517
8.1. Solving Quadratic Equations By Completing the Square, 518
8.2. Solving Quadratic Equations by the Quadratic Formula, 527
8.3. Quadratic Equations: Applications and Problem Solving, 539
Mid-Chapter Test: Sections 8.1–8.3, 548
8.4. Writing Equations in Quadratic Form, 549
8.5. Graphing Quadratic Functions, 555
8.6. Quadratic and Other Inequalities in One Variable, 572
Chapter 8 Summary, 582
Chapter 8 Review Exercises, 585
Chapter 8 Practice Test, 588
Cumulative Review Test, 589
9. Exponential and Logarithmic Functions, 591
9.1. Composite and Inverse Functions, 592
9.2. Exponential Functions, 603
9.3. Logarithmic Functions, 611
9.4. Properties of Logarithms, 618
Mid-Chapter Test: Sections 9.1–9.4, 623
9.5. Common Logarithms, 624
9.6. Exponential and Logarithmic Equations, 630
9.7. Natural Exponential and Natural Logarithmic Functions, 637
Chapter 9 Summary, 648
Chapter 9 Review Exercises, 652
Chapter 9 Practice Test, 655
Cumulative Review Test, 655
10. Conic Sections, 657
10.1. The Parabola and the Circle, 658
10.2. The Ellipse, 669
Mid-Chapter Test: Sections 10.1–10.2, 675
10.3. The Hyperbola, 675
10.4. Nonlinear Systems of Equations and Their Applications, 682
Chapter 10 Summary, 691
Chapter 10 Review Exercises, 694
Chapter 10 Practice Test, 696
Cumulative Review Test, 697
11. Sequences, Series, and the Binomial Theorem, 698
11.1. Sequences and Series, 699
11.2. Arithmetic Sequences and Series, 706
11.3. Geometric Sequences and Series, 713
Mid-Chapter Test: Sections 11.1–11.3, 723
11.4. The Binomial Theorem, 724
Chapter 11 Summary, 729
Chapter 11 Review Exercises, 731
Chapter 11 Practice Test, 734
Cumulative Review Test, 734
Appendix, 736
Applications Index, I-1
Answers, A-1
Graphing Answer Section, G-1
Photo Credits, P-1
Formulas, IFC-1
Endpaper, IBC-1

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