Basic College Mathematics, 2eDelgado Community College

(Math 090 and 091)

Charles P. McKeague

THOMSON.BROOKS/COLE

----.Australia. Canada. Mexico. Singapo,e . Spain. United Kingdom' United States

CustomContents

MATH090/091CourseSyllabusMath090/091FinalExamReviewMath090/091SampleFinalExam

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95

187

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301

363

409

465

507

571

AppendixA: ResourcesAppendixB: OneHundredAdditionFactsAppendixC: OneHundredMultiplicationFactsAppendixD: NegativeExponentsandScientificNotationSolutionsto SelectedPracticeExamsAnswersto Odd-NumberedProblemsIndex

637638639641S-lA-11-1

Chapter1 WholeNumbers

Chapter2 FractionsandMixedNumbers

Chapter3 Decimals

Chapter4 RatioandProportion

Chapter5 Percent

Chapter6 DescriptiveStatistics

Chapter7 Measurement

Chapter8 Geometry

Chapter9 Introductionto Algebra

Chapter10 SolvingEquations

Contents

1 I WholeNumbers 1Introduction 1

1.1 PlaceValueand Namesfor Numbers 3

1.2 Additionwith WholeNumbers,and Perimeter 13

1.3 RoundingNumbers,EstimatingAnswers,and DisplayingInformation 25

1.4 Subtractionwith WholeNumbers 35

1.5 Multiplicationwith WholeNumbers,andArea 45

1.6 Divisionwith WholeNumbers 61

1.7 Exponents,Orderof Operations,andAverages 73

Summary 87

Review/Test 89

Projects 93

2 I Fractionsand MixedNumbers 95Introduction 95

2.1 TheMeaningand Propertiesof Fractions 97

2.2 PrimeNumbers,Factors,and Reducingto LowestTerms 109

2.3 Multiplicationwith Fractions,and theAreaof aTriangle 1172.4 Divisionwith Fractions 129

2.5 Additionand Subtractionwith Fractions 137

2.6 Mixed-NumberNotation 149

2.7 Multiplicationand Divisionwith MixedNumbers 157

2.8 Additionand Subtractionwith MixedNumbers 163

2.9 Combinationsof OperationsandComplexFractions 171

Summary 179

Review/Test 183

Projects 185

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viii Contents

3 I Decimals187

'.

Introduction 187

3.1 Decimal Notation and PlaceValue 189

3.2 Addition and Subtraction with Decimals 197

3.3 Multiplicationwith Decimals 207

3.4 Divisionwith Decimals 215

3.5 Fractionsand Decimals 227

3.6 Square Rootsand the Pythagorean Theorem 237

Summary 249

Review/Test 251

Projects 255

Introduction 257

4.1 Ratios 259

4.2 Ratesand UnitPricing 267

4.3 SolvingEquationsbyDivision 273

4.4 Proportions 277

4.5 Applicationsof Proportions 283

4.6 SimilarFigures 287

Summary 295

Review/Test 297

Projects 299

4 I RatioandProportion257

Introduction 301

5.1 Percents, Decimals,and Fractions 303

5.2 BasicPercent Problems 315

5.3 General Applicationsof Percent 325

5.4 SalesTaxand Commission 331

5.5 Percent Increase or Decrease and Discount 339

5.6 Interest 347

Summary 355

Review/Test 357

Projects 361

5 I Percent301

Contents

7.1 UnitAnalysisI: Length 411

7.2 UnitAnalysisII:Area and Volume 423

7.3 Unit AnalysisIII:Weight 435

7.4 Converting Between the Two Systemsand Temperature 441

7.5 Operations with Time and Mixed Units 449

Summary 457

Review/Test 461

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6 I DescriptiveStatistics 363Introduction 363

6.1 Mean, Median, and Mode 365

6.2 Tablesand BarCharts 373

6.3 Scatter Diagramsand LineGraphs 381

6.4 Pie Charts 391

Summary 401

Review/Test 403

Projects 407

7 I easurement 409Introduction 409

Projects 463

8 I Geometry 465Introduction 465

8.1 Perimeterand Circumference467

8.2 Area 475

8.3 SurfaceArea 483

8.4 Volume 491

Summary 499

Review/Test 501

Projects 505

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x Contents

Introduction 507

9.1 Positiveand Negative Numbers 509

9.2 Additionwith Negative Numbers 519

9.3 Subtraction with Negative Numbers 531

9.4 Multiplicationwith Negative Numbers 541

9.5 Divisionwith Negative Numbers 551

9.6 SimplifyingAlgebraicExpressions 559

Summary 565

Review[Test 567

Projects 569

9 I Introduction to Algebra 507

10 I Solving Equations 571Introduction 571

10.1 The DistributiveProperty and AlgebraicExpressions 573

10.2 The Addition Property of Equality 585

10.3 The MultiplicationProperty of Equality 593

10.4 LinearEquations in One Variable 601

10.5 Applications 609

10.6 EvaluatingFormulas 621

Summary 631

Review/Test 633

Projects 635

Appendix A Resources 637

Appendix B One Hundred Addition Facts 638

Appendix C One Hundred MultiplicationFacts 639

Appendix D Negative Exponents and ScientificNotation 641

Solutions to Selected Practice Problems S-l

Answers to Odd-Numbered Problems A-1

Index 1-1

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