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Copyright, iv
About the Authors, vi
Preface, xi
Student and Instructor Resources, xix
Chapter R. Real Numbers and Algebraic Expressions, 1
R.1. Success in Mathematics, 2
R.2. Sets and Classification of Numbers, 8
R.3. Operations on Signed Numbers; Properties of Real Numbers, 19
R.4. Order of Operations, 33
R.5. Algebraic Expressions, 39
Chapter 1. Linear Equations and Inequalities, 47
Part I. Linear Equations and Inequalities in One Variable, 48
1.1. Linear Equations in One Variable, 48
1.2. An Introduction to Problem Solving, 58
1.3. Using Formulas to Solve Problems, 73
1.4. Linear Inequalities in One Variable, 81
Putting the Concepts Together (Sections 1.1–1.4), 92
Part II. Linear Equations and Inequalities in Two Variables, 93
1.5. Rectangular Coordinates and Graphs of Equations, 93
1.6. Linear Equations in Two Variables, 105
1.7. Parallel and Perpendicular Lines, 121
1.8. Linear Inequalities in Two Variables, 128
Chapter 1: Activity: Pass the Paper, 134
Chapter 1: Review, 134
Chapter 1: Test, 144
Cumulative Review Chapters R–1, 145
Chapter 2. Relations, Functions, and More Inequalities, 147
2.1. Relations, 148
2.2. An Introduction to Functions, 154
2.3. Functions and Their Graphs, 163
Putting the Concepts Together (Sections 2.1–2.3), 174
2.4. Linear Functions and Models, 175
2.5. Compound Inequalities, 190
2.6. Absolute Value Equations and Inequalities, 200
2.7. Variation, 211
Chapter 2: Activity: Shifting Discovery, 218
Chapter 2: Review, 219
Chapter 2: Test, 226
Chapter 3. Systems of Linear Equations and Inequalities, 228
3.1. Systems of Linear Equations in Two Variables, 229
3.2. Problem Solving: Systems of Two Linear Equations Containing Two Unknowns, 241
3.3. Systems of Linear Equations in Three Variables, 255
Putting the Concepts Together (Sections 3.1–3.3), 266
3.4. Using Matrices to Solve Systems, 267
3.5. Determinants and Cramer’s Rule, 280
3.6. Systems of Linear Inequalities, 288
Chapter 3: Activity: Find the Numbers, 296
Chapter 3: Review, 296
Chapter 3: Test, 303
Cumulative Review Chapters R–3, 304
Getting Ready for Chapter 4: Laws of Exponents and Scientific Notation, 306
Chapter 4. Polynomials and Polynomial Functions, 320
4.1. Adding and Subtracting Polynomials, 321
4.2. Multiplying Polynomials, 332
4.3. Dividing Polynomials; Synthetic Division, 341
Putting the Concepts Together (Sections 4.1–4.3), 352
4.4. Greatest Common Factor; Factoring by Grouping, 353
4.5. Factoring Trinomials, 359
4.6. Factoring Special Products, 371
4.7. Factoring: A General Strategy, 377
4.8. Polynomial Equations, 384
Chapter 4: Activity: What Is the Question?, 396
Chapter 4: Review, 397
Chapter 4: Test, 404
Getting Ready for Chapter 5: A Review of Operations on Rational Numbers, 405
Chapter 5. Rational Expressions and Rational Functions, 411
5.1. Multiplying and Dividing Rational Expressions, 412
5.2. Adding and Subtracting Rational Expressions, 422
5.3. Complex Rational Expressions, 432
Putting the Concepts Together (Sections 5.1–5.3), 440
5.4. Rational Equations, 441
5.5. Rational Inequalities, 449
5.6. Models Involving Rational Expressions, 455
Chapter 5: Activity: Correct the Quiz, 465
Chapter 5: Review, 465
Chapter 5: Test, 471
Cumulative Review Chapters R–5, 472
Getting Ready for Chapter 6: Square Roots, 473
Chapter 6. Radicals and Rational Exponents, 478
6.1. nth Roots and Rational Exponents, 479
6.2. Simplify Expressions Using the Laws of Exponents, 487
6.3. Simplifying Radical Expressions Using Properties of Radicals, 492
6.4. Adding, Subtracting, and Multiplying Radical Expressions, 502
6.5. Rationalizing Radical Expressions, 508
Putting the Concepts Together (Sections 6.1–6.5), 513
6.6. Functions Involving Radicals, 514
6.7. Radical Equations and Their Applications, 520
6.8. The Complex Number System, 529
Chapter 6: Activity: Which One Does Not Belong?, 540
Chapter 6: Review, 540
Chapter 6: Test, 546
Chapter 7. Quadratic Equations and Functions, 547
7.1. Solving Quadratic Equations by Completing the Square, 548
7.2. Solving Quadratic Equations by the Quadratic Formula, 560
7.3. Solving Equations Quadratic in Form, 574
Putting the Concepts Together (Sections 7.1–7.3), 582
7.4. Graphing Quadratic Functions Using Transformations, 583
7.5. Graphing Quadratic Functions Using Properties, 595
7.6. Quadratic Inequalities, 609
Chapter 7: Activity: Presidential Decision Making, 618
Chapter 7: Review, 619
Chapter 7: Test, 625
Cumulative Review Chapters R–7, 626
Chapter 8. Exponential and Logarithmic Functions, 627
8.1. Composite Functions and Inverse Functions, 628
8.2. Exponential Functions, 641
8.3. Logarithmic Functions, 657
Putting the Concepts Together (Sections 8.1–8.3), 668
8.4. Properties of Logarithms, 669
8.5. Exponential and Logarithmic Equations, 678
Chapter 8: Activity: Correct the Quiz, 687
Chapter 8: Review, 687
Chapter 8: Test, 692
Chapter 9. Conics, 694
9.1. Distance and Midpoint Formulas, 695
9.2. Circles, 701
9.3. Parabolas, 707
9.4. Ellipses, 716
9.5. Hyperbolas, 726
Putting the Concepts Together (Sections 9.1–9.5), 732
9.6. Systems of Nonlinear Equations, 733
Chapter 9: Activity: How Do You Know That ...?, 740
Chapter 9: Review, 740
Chapter 9: Test, 744
Cumulative Review Chapters R–9, 745
Chapter 10. Sequences, Series, and the Binomial Theorem, 746
10.1. Sequences, 747
10.2. Arithmetic Sequences, 754
10.3. Geometric Sequences and Series, 761
Putting the Concepts Together (Sections 10.1–10.3), 773
10.4. The Binomial Theorem, 773
Chapter 10: Activity: Discover the Relation, 779
Chapter 10: Review, 779
Chapter 10: Test, 783
Answers to Selected Exercises, AN-1
Applications Index, AP-1
Subject Index, I-1
Photo Credits, PC-1
End Papers, EP-1

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