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Copyright, iv
Preface, ix
Study Skills: Your Brain Can Learn Mathematics, 1
Chapter 1. Review of the Real Number System, 3
1.1. Basic Concepts, 4
1.2. Operations on Real Numbers, 17
1.3. Exponents, Roots, and Order of Operations, 29
1.4. Properties of Real Numbers, 39
Summary, 47
Review Exercises, 51
Test, 55
Study Skills: Using Your Textbook, 57
Chapter 2. Linear Equations and Applications, 59
2.1. Linear Equations in One Variable, 60
Study Skills: Homework: How, Why, and When, 71
2.2. Formulas and Percent, 73
2.3. Applications of Linear Equations, 85
Study Skills: Taking Lecture Notes, 99
2.4. Further Applications of Linear Equations, 101
Summary Exercises on Solving Applied Problems, 109
Study Skills: Reviewing a Chapter, 111
Summary, 113
Review Exercises, 117
Test, 121
Study Skills: Preparing for Tests, 123
Cumulative Review Exercises Chapters R–2, 125
Chapter 3. Linear Inequalities and Absolute Value, 127
3.1. Linear Inequalities in One Variable, 128
Study Skills: Using Study Cards, 143
3.2. Set Operations and Compound Inequalities, 145
Study Skills: Using Study Cards Revisited, 155
3.3. Absolute Value Equations and Inequalities, 157
Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities, 169
Study Skills: Managing Your Time, 171
Summary, 173
Review Exercises, 177
Test, 181
Study Skills: Tips for Taking Math Tests, 183
Cumulative Review Exercises Chapters R–3, 185
Chapter 4. Graphs, Linear Equations, and Functions, 187
4.1. The Rectangular Coordinate System, 188
4.2. Slope of a Line, 199
4.3. Linear Equations in Two Variables, 213
Summary Exercises on Slopes and Equations of Lines, 227
4.4. Linear Inequalities in Two Variables, 229
4.5. Introduction to Functions, 237
Summary, 253
Review Exercises, 257
Test, 261
Study Skills: Analyzing Your Test Results, 263
Cumulative Review Exercises Chapters R–4, 265
Chapter 5. Systems of Linear Equations, 267
5.1. Systems of Linear Equations in Two Variables, 268
5.2. Systems of Linear Equations in Three Variables, 283
5.3. Applications of Systems of Linear Equations, 293
5.4. Solving Systems of Linear Equations by Matrix Methods, 307
Summary, 315
Review Exercises, 319
Test, 323
Cumulative Review Exercises Chapters R–5, 325
Chapter 6. Exponents, Polynomials, and Polynomial Functions, 327
6.1. Integer Exponents and Scientific Notation, 328
6.2. Adding and Subtracting Polynomials, 345
6.3. Polynomial Functions, 351
6.4. Multiplying Polynomials, 359
6.5. Dividing Polynomials, 369
Summary, 375
Review Exercises, 379
Test, 383
Cumulative Review Exercises Chapters R–6, 385
Chapter 7. Factoring, 387
7.1. Greatest Common Factors; Factoring by Grouping, 388
7.2. Factoring Trinomials, 395
7.3. Special Factoring, 403
7.4. A General Approach to Factoring, 409
7.5. Solving Equations by Factoring, 413
Summary, 423
Review Exercises, 425
Test, 427
Cumulative Review Exercises Chapters R–7, 429
Chapter 8. Rational Expressions and Functions, 431
8.1. Rational Expressions and Functions; Multiplying and Dividing, 432
Study Skills: Making a Mind Map, 443
8.2. Adding and Subtracting Rational Expressions, 445
8.3. Complex Fractions, 455
8.4. Equations with Rational Expressions and Graphs, 461
Summary Exercises on Rational Expressions and Equations, 469
8.5. Applications of Rational Expressions, 471
8.6. Variation, 485
Summary, 495
Review Exercises, 499
Test, 503
Cumulative Review Exercises Chapters R–8, 505
Chapter 9. Roots, Radicals, and Root Functions, 507
9.1. Radical Expressions and Graphs, 508
9.2. Rational Exponents, 517
9.3. Simplifying Radical Expressions, 527
9.4. Adding and Subtracting Radical Expressions, 541
9.5. Multiplying and Dividing Radical Expressions, 545
Summary Exercises on Operations with Radicals and Rational Exponents, 555
9.6. Solving Equations with Radicals, 557
9.7. Complex Numbers, 565
Summary, 575
Review Exercises, 579
Test, 583
Cumulative Review Exercises Chapters R–9, 585
Study Skills: Preparing for Your Math Final Exam, 587
Chapter 10. Quadratic Equations, Inequalities, and Functions, 589
10.1. The Square Root Property and Completing the Square, 590
10.2. The Quadratic Formula, 601
10.3. Equations Quadratic in Form, 609
Summary Exercises on Solving Quadratic Equations, 621
10.4. Formulas and Further Applications, 623
10.5. Graphs of Quadratic Functions, 631
10.6. More about Parabolas and Their Applications, 643
10.7. Polynomial and Rational Inequalities, 655
Summary, 665
Review Exercises, 669
Test, 673
Cumulative Review Exercises Chapters R–10, 677
Chapter 11. Inverse, Exponential, and Logarithmic Functions, 679
11.1. Inverse Functions, 680
11.2. Exponential Functions, 689
11.3. Logarithmic Functions, 697
11.4. Properties of Logarithms, 705
11.5. Common and Natural Logarithms, 713
11.6. Exponential and Logarithmic Equations; Further Applications, 719
Summary, 729
Review Exercises, 733
Test, 737
Cumulative Review Exercises Chapters R–11, 739
Chapter 12. Nonlinear Functions, Conic Sections, and Nonlinear Systems, 741
12.1. Additional Graphs of Functions; Composition, 742
12.2. The Circle and the Ellipse, 753
12.3. The Hyperbola and Other Functions Defined by Radicals, 763
12.4. Nonlinear Systems of Equations, 773
12.5. Second–Degree Inequalities and Systems of Inequalities, 779
Summary, 785
Review Exercises, 789
Test, 793
Cumulative Review Exercises Chapters R–12, 797
Appendix A. Strategies for Problem Solving, 799
Appendix B. Review of Fractions, 809
Appendix C. Synthetic Division, 821
Answers to Selected Exercises, A-1
Solutions to Selected Exercises, S-1
Index, I-1
Photo Credits, P-1
Geometry Formulas, IBC-1
Triangles and Angles, IBC-2
End papers, EP-1

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