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Copyright, ii
Preface, v
Study Skills: Your Brain Can Learn Mathematics, xi
Chapter 1. Introduction to Algebra: Integers, 1
1.1. Place Value, 2
Study Skills: Using Your Textbook, 9
1.2. Introduction to Signed Numbers, 11
Study Skills: Homework: How, Why, and When, 17
1.3. Adding Integers, 19
1.4. Subtracting Integers, 29
1.5. Problem Solving: Rounding and Estimating, 33
1.6. Multiplying Integers, 43
1.7. Dividing Integers, 53
Summary Exercises on Operations with Integers, 63
1.8. Exponents and Order of Operations, 65
Study Skills: Taking Lecture Notes, 75
Summary, 77
Study Skills: Reviewing a Chapter, 83
Review Exercises, 85
Test, 89
Study Skills: Managing Your Time, 91
Chapter 2. Understanding Variables and Solving Equations, 93
2.1. Introduction to Variables, 94
Study Skills: Using Study Cards, 105
2.2. Simplifying Expressions, 107
Study Skills: Using Study Cards Revisited, 119
Summary Exercises on Variables and Expressions, 121
2.3. Solving Equations Using Addition, 123
2.4. Solving Equations Using Division, 135
2.5. Solving Equations with Several Steps, 143
Summary, 153
Review Exercises, 159
Test, 161
Study Skills: Preparing for Tests, 163
Cumulative Review Exercises, 165
Chapter 3. Solving Application Problems, 167
3.1. Problem Solving: Perimeter, 168
3.2. Problem Solving: Area, 177
Summary Exercises on Perimeter and Area, 187
3.3. Solving Application Problems with One Unknown Quantity, 189
3.4. Solving Application Problems with Two Unknown Quantities, 199
Summary, 205
Review Exercises, 211
Test, 213
Study Skills: Tips for Taking Math Tests, 215
Cumulative Review Exercises, 217
Chapter 4. Rational Numbers: Positive and Negative Fractions, 219
4.1. Introduction to Signed Fractions, 220
4.2. Writing Fractions in Lowest Terms, 231
4.3. Multiplying and Dividing Signed Fractions, 243
4.4. Adding and Subtracting Signed Fractions, 255
Study Skills: Making a Mind Map, 267
4.5. Problem Solving: Mixed Numbers and Estimating, 269
Summary Exercises on Fractions, 283
4.6. Exponents, Order of Operations, and Complex Fractions, 285
4.7. Problem Solving: Equations Containing Fractions, 293
4.8. Geometry Applications: Area and Volume, 303
Summary, 311
Review Exercises, 319
Test, 321
Study Skills: Analyzing Your Test Results, 323
Cumulative Review Exercises, 325
Chapter 5. Rational Numbers: Positive and Negative Decimals, 327
5.1. Reading and Writing Decimal Numbers, 328
5.2. Rounding Decimal Numbers, 337
5.3. Adding and Subtracting Signed Decimal Numbers, 345
5.4. Multiplying Signed Decimal Numbers, 355
5.5. Dividing Signed Decimal Numbers, 363
Summary Exercises on Decimals, 375
5.6. Fractions and Decimals, 377
5.7. Problem Solving with Statistics: Mean, Median, and Mode, 385
5.8. Geometry Applications: Pythagorean Theorem and Square Roots, 391
5.9. Problem Solving: Equations Containing Decimals, 399
5.10. Geometry Applications: Circles, Cylinders, and Surface Area, 405
Summary, 417
Review Exercises, 425
Test, 431
Cumulative Review Exercises, 433
Chapter 6. Ratio, Proportion, and Line/Angle/Triangle Relationships, 435
6.1. Ratios, 436
6.2. Rates, 443
6.3. Proportions, 451
Summary Exercises on Ratios, Rates, and Proportions, 463
6.4. Problem Solving with Proportions, 465
6.5. Geometry: Lines and Angles, 473
6.6. Geometry Applications: Congruent and Similar Triangles, 487
Summary, 497
Review Exercises, 505
Test, 511
Cumulative Review Exercises, 513
Chapter 7. Percent, 515
7.1. The Basics of Percent, 516
7.2. The Percent Proportion, 531
7.3. The Percent Equation, 539
Summary Exercises on Percent, 549
7.4. Problem Solving with Percent, 551
7.5. Consumer Applications: Sales Tax, Tips, Discounts, and Simple Interest, 561
Summary, 573
Review Exercises, 579
Test, 583
Study Skills: Preparing for Your Final Exam, 585
Cumulative Review Exercises, 587
Chapter 8. Measurement, 589
8.1. Problem Solving with U.S. Customary Measurements, 590
8.2. The Metric System–Length, 601
8.3. The Metric System–Capacity and Weight (Mass), 609
Summary Exercises on U.S. Customary and Metric Units, 619
8.4. Problem Solving with Metric Measurement, 621
8.5. Metric–U.S. Customary Conversions and Temperature, 625
Summary, 633
Review Exercises, 639
Test, 643
Cumulative Review Exercises, 645
Chapter 9. Graphs, 647
9.1. Problem Solving with Tables and Pictographs, 648
9.2. Reading and Constructing Circle Graphs, 655
9.3. Bar Graphs and Line Graphs, 665
9.4. The Rectangular Coordinate System, 673
9.5. Introduction to Graphing Linear Equations, 679
Summary, 693
Review Exercises, 699
Test, 705
Cumulative Review Exercises, 709
Chapter 10. Exponents and Polynomials, 711
10.1. The Product Rule and Power Rules for Exponents, 712
10.2. Integer Exponents and the Quotient Rule, 719
Summary Exercises on Exponents, 725
10.3. An Application of Exponents: Scientific Notation, 727
10.4. Adding and Subtracting Polynomials, 733
10.5. Multiplying Polynomials: An Introduction, 741
Summary, 745
Review Exercises, 747
Test, 749
Cumulative Review Exercises, 751
Whole Numbers Computation: Pretest, 753
Chapter R. Whole Numbers Review, 755
R.1. Adding Whole Numbers, 755
R.2. Subtracting Whole Numbers, 763
R.3. Multiplying Whole Numbers, 771
R.4. Dividing Whole Numbers, 779
R.5. Long Division, 789
Appendix: Inductive and Deductive Reasoning, A-1
Answers to Selected Exercises, A-7
Solutions to Selected Exercises, S-1
Index, I-1
Photo Credits, P-1
Geometry Formulas, Angles, and Order of Operations, EP-1

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