Prealgebra. Jamie Blair. John Tobey. Jeffrey Slater. Second Edition. Orange Coast College, Costa Mesa, California

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1 Prealgebra Second Edition Jamie Blair Orange Coast College, Costa Mesa, California John Tobey North Shore Community College, Danvers, Massachusetts Jeffrey Slater North Shore Community College, Danvers, Massachusetts Prentice Hall Upper Saddle River, NJ 07458

2 Contents Preface xi Acknowledgments xviii To the Student xxv Chapter 1 Whole Numbers and Introduction to Algebra 1 Pretest Chapter Understanding Whole Numbers Addition of Whole Number Expressions Subtraction of Whole Number Expressions Multiplication of Whole Number Expressions: Part I Multiplication of Whole Number Expressions: Part II Division of Whole Number Expressions Exponents and Order of Operations Introduction to Equations Applied Problems Involving Several Operations 76 Putting Your Skills to Work 86 Chapter 1 Organizer 88 Chapter 1 Review Problems 92 Chapter 1 Test 98 Chapter 2 Integers 101 Pretest Chapter Understanding Integers Addition of Integers Subtraction of Integers Multiplication and Division of Integers Order of Operations and Applications Involving Integers 2.6 Simplifying and Evaluating Algebraic Expressions 144 Putting Your Skills to Work 151 Chapter 2 Organizer 153 Chapter 2 Review Problems 155 Chapter 2 Test 158 Cumulative Test for Chapters vii

3 VIII Contents Chapter 3 Introduction to Equations and Algebraic Expressions 161 Pretest Chapter Solving Equations of the Form x + a = c and x - a = c Solving Equations of the Form ax = c Equations and Geometric Formulas Performing Operations with Exponents 192 Putting Your Skills to Work 200 Chapter 3 Organizer 201 Chapter 3 Review Problems 203 Chapter 3 Test 207 Cumulative Test for Chapters Chapter 4 Fractions, Ratio, and Proportion 211 Pretest Chapter Factoring Whole Numbers Understanding Fractions Simplifying Fractional Expressions Simplifying Fractional Expressions with Exponents Ratios and Rates Proportions Applied Problems Involving Proportions 260 Putting Your Skills to Work 266 Chapter 4 Organizer 268 Chapter 4 Review Problems 270 Chapter 4 Test 275 Cumulative Test for Chapters Chapter 5 Operations on Fractional Expressions 279 Pretest Chapter Multiplication and Division of Fractional Expressions Multiples and Least Common Multiples of Expressions Addition and Subtraction of Fractional Expressions Operations with Mixed Numbers 308 Putting Your Skills to Work Order of Operations and Complex Fractions Applied Problems Involving Fractions Solving Equations of the Form x/a = c 331 Chapter 5 Organizer 337 Chapter 5 Review Problems 339 Chapter 5 Test 342 Cumulative Test for Chapters

4 Contents ix Chapter 6 Polynomials 347 Pretest Chapter Addition and Subtraction of Polynomials Multiplication of Polynomials Translating English to Algebra 360 Putting Your Skills to Work Factoring: The Greatest Common Factor 368 Chapter 6 Organizer 373 Chapter 6 Review Problems 374 Chapter 6 Test 377 Cumulative Test for Chapters Chapter 7 Equations 379 Pretest Chapter Solving Equations Using One Principle of Equality 7.2 Solving Equations Using More than One Principle of Equality Solving Equations with Parentheses Solving Equations with Fractions Using Equations to Solve Applied Problems 402 Putting Your Skills to Work 410 Chapter 7 Organizer 412 Chapter 7 Review Problems 415 Chapter 7 Test 417 Cumulative Test for Chapters Chapter 8 Decimals and Percents 421 Pretest Chapter Understanding Decimal Fractions Addition and Subtraction of Decimal Expressions 432 Putting Your Skills to Work Multiplication and Division of Decimals Solving Equations and Applied Problems Involving Decimals 8.5 Percents Solving Percent Problems Using Equations Solving Percent Problems Using Proportions (Optional) Estimating with Percents 479 Putting Your Skills to Work Applied Problems Involving Percents 486 Chapter 8 Organizer 493 Chapter 8 Review Problems 496 Chapter 8 Test 501 Cumulative Test for Chapters

5 X Contents Chapter Graphing and Statistics 505 Pretest Chapter Interpreting and Constructing Graphs Putting Your Skills to Work Mean, Median, and Mode The Rectangular Coordinate System Linear Equations with Two Variables Putting Your Skills to Work 545 Chapter 9 Organizer 551 Chapter 9 Review Problems 554 Chapter 9 Test Cumulative Test for Chapters Chapter 10 Measurement and Geometric Figures 565 Pretest Chapter Converting between U. S. Units; Converting between Metric Units Converting between the U. S. and Metric Systems (Optional) 577 Putting Your Skills to Work Angles Square Roots and the Pythagorean Theorem The Circle and Applied Problems 603 Putting Your Skills to Work Volume Similar Geometric Figures 617 Chapter 10 Organizer 623 Chapter 10 Review Problems 627 Chapter 10 Test 631 Cumulative Test for Chapters Practice Final Examination 635 Appendix A: Introduction to U.S. and Metric Units of Measurement A-l Appendix B: Scientific Calculators A-7 Appendix C: Congruent Triangles A-13 Appendix D: Additional Arithmetic Practice A-19 Appendix E: Math in the Media A-21 Solutions to Practice Problems SP-1 Selected Answers SA-1 Applications Index 1-1 Subject Index 1-5 Photo Credits P-l

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