Page 1 of 2

CHAPTER

1

CHAPTER STUDY GUIDE 2

1.1 Real Numbers and Number Operations 3

1.2 Algebraic Expressions and Models 11QUIZ 1, 17

� CALCULATOR ACTIVITY: Evaluating Expressions, 18

1.3 Solving Linear Equations 19

� GRAPHING CALCULATOR: Using Tables to Solve Equations, 25

1.4 Rewriting Equations and Formulas 26

1.5 Problem Solving Using Algebraic Models: EXPLORING DATA AND STATISTICS 33QUIZ 2, 40

1.6 Solving Linear Inequalities 41

� GRAPHING CALCULATOR: Solving an Inequality, 48

1.7 Solving Absolute Value Equations and Inequalities 50

� CONCEPT ACTIVITY: Absolute Value Equations and Inequalities, 49QUIZ 3, 56

ASSESSMENT

Skill Review, 2Quizzes, 17, 40, 56Test Preparation Questions, 10, 16, 24,31, 39, 47, 55Chapter Summary, Review, and Test, 57Chapter Standardized Test, 62

APPLICATIONHIGHLIGHTS

Railroads 1, 35Geography 4Money Exchange 6Real Estate 21Photo Framing 21Benefit Concert 27Gardening 28Weather Balloons 36Auto Maintenance 44Traffic Enforcement 44

MATH & HISTORY

Problem Solving 40

INTERNETCONNECTIONS

www.mcdougallittell.com

Application Links1, 35, 38, 40, 46

Student Help 6, 15, 18, 20, 25, 31, 38, 43, 48, 51, 54

Career Links 16, 21, 23, 30

Extra Challenge 10, 16, 24, 32, 39, 47, 55

vi Contents

Equations and InequalitiesEquations and Inequalities

�READING, WRITING, ANDNOTETAKING

Reading 2, 3, 5, 13, 26, 41, 43, 50Writing 47, 63Notetaking 2, 3, 5, 11, 19, 28, 41, 50, 51,57Vocabulary 2, 7, 14, 22, 29, 37, 45, 53,58

Page 1 of 2

Contents vii

CHAPTER

2

CHAPTER STUDY GUIDE 66

2.1 Functions and Their Graphs 67

2.2 Slope and Rate of Change 75

2.3 Quick Graphs of Linear Equations 82QUIZ 1, 89

� GRAPHING CALCULATOR: Graphing Equations, 90

2.4 Writing Equations of Lines 91

2.5 Correlation and Best-Fitting Lines: EXPLORING DATA AND STATISTICS 100

� CONCEPT ACTIVITY: Fitting a Line to a Set of Data, 99QUIZ 2, 106

� GRAPHING CALCULATOR: Using Linear Regression, 107

2.6 Linear Inequalities in Two Variables 108

2.7 Piecewise Functions 114

� GRAPHING CALCULATOR: Graphing Piecewise Functions, 121

2.8 Absolute Value Functions 122QUIZ 3, 128

ASSESSMENT

Skill Review, 66Quizzes, 89, 106, 128Test Preparation Questions, 74, 81, 88,98, 105, 113, 120, 127Chapter Summary, Review, and Test, 129Chapter Standardized Test, 134

APPLICATIONHIGHLIGHTS

Youth Service 65, 105Ballooning 70Ladder Safety 78Deserts 78Buying a Computer 83Fundraising 85Politics 93Communication 110Wages 116Billiards 124

MATH & HISTORY

Transatlantic Voyages 89

INTERNETCONNECTIONS

www.mcdougallittell.com

Application Links65, 78, 89, 119, 126

Student Help70, 77, 88, 90, 92, 105, 107,110, 118, 119, 121, 126, 127

Career Links 68, 102, 112

Extra Challenge74, 81, 88, 98, 105, 113, 120, 127

Linear Equations andFunctionsLinear Equations andFunctions

�READING, WRITING, ANDNOTETAKING

Reading 66, 76, 82, 91, 122Writing 72, 81, 88, 98Notetaking 66, 75, 76, 77, 82, 84, 85, 91,101, 109, 123, 129Vocabulary 66, 71, 79, 86, 95, 103, 111,117, 125, 130

Page 1 of 2

CHAPTER

3Systems of LinearEquations and Inequalities

CHAPTER STUDY GUIDE 138

3.1 Solving Linear Systems by Graphing 139

� GRAPHING CALCULATOR: Graphing Systems of Equations, 146

3.2 Solving Linear Systems Algebraically 148

� CONCEPT ACTIVITY: Combining Equations in a Linear System, 147QUIZ 1, 155

3.3 Graphing and Solving Systems of Linear Inequalities 156

3.4 Linear Programming: EXPLORING DATA AND STATISTICS 163QUIZ 2, 169

3.5 Graphing Linear Equations in Three Variables 170

� GRAPHING CALCULATOR: Graphing Linear Equations in Three Variables, 176

3.6 Solving Systems of Linear Equations in Three Variables 177QUIZ 3, 184

ASSESSMENT

Skill Review, 138Quizzes, 155, 169, 184Test Preparation Questions, 145, 154,162, 168, 175, 183Chapter Summary, Review, and Test, 185Chapter Standardized Test, 190Cumulative Practice, Chapters 1–3, 192Project, Chapters 1–3, 194

APPLICATIONHIGHLIGHTS

Cross-Training 137, 154Vacation Costs 141Fitness 144Catering 151Heart Rate 158Bicycle Production 165Landscaping 172Transportation 174Sports 180Voting 183

MATH & HISTORY

Linear Programming inWorld War II 169

INTERNETCONNECTIONS

www.mcdougallittell.com

Application Links 137, 169, 174, 183

Student Help 140, 146, 153, 160, 161, 167, 171, 172, 176, 178

Career Links 151, 158, 172

Extra Challenge 145, 154, 162, 168, 175, 183

PROJECT

Chapters 1–3 Project 194

viii Contents

Systems of LinearEquations and Inequalities

�READING, WRITING, ANDNOTETAKING

Reading 138, 163, 171Writing 145, 153, 175, 183, 191Notetaking 138, 140, 148, 149, 156, 163,178, 185Vocabulary 138, 142, 152, 159, 166, 173,181, 186

Page 1 of 2

Contents ix

CHAPTER

4Matrices andDeterminants

CHAPTER STUDY GUIDE 198

4.1 Matrix Operations: EXPLORING DATA AND STATISTICS 199

� GRAPHING CALCULATOR: Using Matrix Operations, 207

4.2 Multiplying Matrices 208

4.3 Determinants and Cramer’s Rule 214QUIZ 1, 221

4.4 Identity and Inverse Matrices 223

� CONCEPT ACTIVITY: Investigating Identity and Inverse Matrices, 222

4.5 Solving Systems Using Inverse Matrices 230QUIZ 2, 236

EXTENSION: Solving Systems Using Augmented Matrices 237

ASSESSMENT

Skill Review, 198Quizzes, 221, 236Test Preparation Questions, 206, 213,220, 229, 235Chapter Summary, Review, and Test, 239Chapter Standardized Test, 244

APPLICATIONHIGHLIGHTS

Music Sales 197, 204Health Care Plans 202College Costs 205Softball 210Exercise 212Bermuda Triangle 215Atomic Weights 217Sailing 219Cryptography 225Investing 232

MATH & HISTORY

Systems of Equations 236

INTERNETCONNECTIONS

www.mcdougallittell.com

Application Links 197, 210, 225, 232, 236

Student Help 204, 207, 209, 216, 224, 234

Career Links 202, 217, 234

Extra Challenge 206, 213, 220, 229, 235

Matrices andDeterminants

�READING, WRITING, ANDNOTETAKING

Reading 198, 201, 209, 214Writing 206, 213, 229, 235, 245Notetaking 198, 201, 209, 214, 215, 216,217, 223, 237, 239Vocabulary 198, 203, 211, 218, 227, 233,240

Page 1 of 2

CHAPTER

5Quadratic Functions

CHAPTER STUDY GUIDE 248

5.1 Graphing Quadratic Functions 249

5.2 Solving Quadratic Equations by Factoring 256

5.3 Solving Quadratic Equations by Finding Square Roots 264QUIZ 1, 270

� GRAPHING CALCULATOR: Solving Quadratic Equations, 271

5.4 Complex Numbers 272

5.5 Completing the Square 282

� CONCEPT ACTIVITY: Using Algebra Tiles to Complete the Square, 281

� GRAPHING CALCULATOR: Finding Maximums and Minimums, 290

5.6 The Quadratic Formula and the Discriminant 291QUIZ 2, 298

5.7 Graphing and Solving Quadratic Inequalities 299

5.8 Modeling with Quadratic Functions: EXPLORING DATA AND STATISTICS 306QUIZ 3, 312

ASSESSMENT

Skill Review, 248Quizzes, 270, 298, 312Test Preparation Questions, 255, 263,269, 280, 289, 297, 305, 311Chapter Summary, Review, and Test, 313Chapter Standardized Test, 318

APPLICATIONHIGHLIGHTS

Volcanoes 247, 297Civil Engineering 252Crafts 258Business 259History 266Landscape Design 284Agriculture 285Entertainment 294Carpentry 300Fuel Economy 307

MATH & HISTORY

Telescopes 270

INTERNETCONNECTIONS

www.mcdougallittell.com

Application Links247, 254, 268, 270, 311

Student Help254, 259, 265, 271, 279, 285, 290, 292, 304, 308, 310

Career Links252, 279, 296, 304, 308

Extra Challenge255, 263, 269, 280, 289, 297, 305, 312

x Contents

Quadratic Functions

�READING, WRITING, ANDNOTETAKING

Reading 248, 249, 257, 282, 293, 299, 302Writing 255, 269, 279, 280, 305Notetaking 248, 249, 250, 257, 264, 272,275, 276, 291, 293, 299, 313Vocabulary 248, 253, 260, 267, 277, 286,295, 303, 309, 314

Page 1 of 2

Contents xi

CHAPTER

6Polynomials andPolynomial Functions

CHAPTER STUDY GUIDE 322

6.1 Using Properties of Exponents 323

6.2 Evaluating and Graphing Polynomial Functions 329

� GRAPHING CALCULATOR: Setting a Good Viewing Window, 337

6.3 Adding, Subtracting, and Multiplying Polynomials 338QUIZ 1, 344

6.4 Factoring and Solving Polynomial Equations 345

6.5 The Remainder and Factor Theorems 352

6.6 Finding Rational Zeros 359QUIZ 2, 365

6.7 Using the Fundamental Theorem of Algebra 366

� GRAPHING CALCULATOR: Solving Polynomial Equations, 372

6.8 Analyzing Graphs of Polynomial Functions 373

6.9 Modeling with Polynomial Functions: EXPLORING DATA AND STATISTICS 380

� CONCEPT ACTIVITY: Exploring Finite Differences, 379QUIZ 3, 386

ASSESSMENT

Skill Review, 322Quizzes, 344, 365, 386Test Preparation Questions, 328, 336,343, 350, 358, 364, 371, 378, 385Chapter Summary, Review, and Test, 387Chapter Standardized Test, 392Cumulative Practice, Chapters 1–6, 394Project, Chapters 4–6, 396

APPLICATIONHIGHLIGHTS

Space Exploration 321, 327Photography 330Biology 332Farming 340Publishing 340Archeology 347Accounting 355Physiology 368Manufacturing 375Boating 382

MATH & HISTORY

Solving PolynomialEquations 351

INTERNETCONNECTIONS

www.mcdougallittell.com

Application Links321, 325, 351, 357, 377

Student Help324, 332, 337, 343, 349, 354,363, 367, 372, 374, 381

Career Links327, 330, 335, 342, 347, 355

Extra Challenge328, 336, 343, 350, 358, 364,371, 378, 385

PROJECT

Chapters 4–6 Project 396

Polynomials andPolynomial Functions

�READING, WRITING, ANDNOTETAKING

Reading 322, 323, 329, 331, 339, 345, 359,373, 381Writing 328, 336, 349, 371, 385, 393Notetaking 322, 323, 331, 339, 345, 353,354, 359, 366, 373, 374, 381, 387Vocabulary 322, 326, 333, 341, 348, 356,362, 369, 376, 383, 388

Page 1 of 2

CHAPTER

7Powers, Roots,and Radicals

CHAPTER STUDY GUIDE 400

7.1 nth Roots and Rational Exponents 401

7.2 Properties of Rational Exponents 407QUIZ 1, 414

7.3 Power Functions and Function Operations 415

7.4 Inverse Functions 422

� CONCEPT ACTIVITY: Exploring Inverse Functions, 421QUIZ 2, 429

� GRAPHING CALCULATOR: Graphing Inverse Functions, 430

7.5 Graphing Square Root and Cube Root Functions 431

7.6 Solving Radical Equations 437

7.7 Statistics and Statistical Graphs: EXPLORING DATA AND STATISTICS 445QUIZ 3, 452

� GRAPHING CALCULATOR: Statistics and Statistical Graphs, 453

ASSESSMENT

Skill Review, 400Quizzes, 414, 429, 452Test Preparation Questions, 406, 413,420, 428, 436, 443, 451Chapter Summary, Review, and Test, 455Chapter Standardized Test, 460

APPLICATIONHIGHLIGHTS

Dinosaurs 399, 442Space Science 403Nautical Science 403Biology 410Business 417Science 423Astronomy 425Amusement Parks 433Elephants 433Basketball 445

MATH & HISTORY

Tsunamis 444

INTERNETCONNECTIONS

www.mcdougallittell.com

Application Links399, 403, 425, 440, 444

Student Help405, 408, 409, 419, 428, 430, 435, 438, 446, 453

Career Links419, 427, 433, 435, 450

Extra Challenge406, 413, 420, 428, 436, 443, 451

xii Contents

Powers, Roots,and Radicals

�READING, WRITING, ANDNOTETAKING

Reading 400, 407, 415, 416, 423, 431, 437,445, 447Writing 406, 413, 420, 436, 459, 461Notetaking 400, 401, 402, 407, 415, 416,423, 424, 431, 446, 455Vocabulary 400, 404, 411, 418, 426, 434,441, 449, 456

Page 1 of 2

Contents xiii

CHAPTER

8Exponential andLogarithmic Functions

CHAPTER STUDY GUIDE 464

8.1 Exponential Growth 465

8.2 Exponential Decay 474

� CONCEPT ACTIVITY: Exponential Growth and Decay, 473

8.3 The Number e 480QUIZ 1, 485

8.4 Logarithmic Functions 486

8.5 Properties of Logarithms 493

� GRAPHING CALCULATOR: Graphing Logarithmic Functions, 500

8.6 Solving Exponential and Logarithmic Equations 501QUIZ 2, 508

8.7 Modeling with Exponential and Power Functions: EXPLORING DATA AND STATISTICS 509

8.8 Logistic Growth Functions 517QUIZ 3, 522

ASSESSMENT

Skill Review, 464Quizzes, 485, 508, 522Test Preparation Questions, 472, 479,485, 492, 498, 507, 516, 522Chapter Summary, Review, and Test, 523Chapter Standardized Test, 528

APPLICATIONHIGHLIGHTS

Mountain Climbing 463, 484Internet Hosts 467Compound Interest 468Automobiles 476Endangered Species 482Acoustics 495Cooking 502Seismology 504Communications 510Botany 519

MATH & HISTORY

Logarithms 499

INTERNETCONNECTIONS

www.mcdougallittell.com

Application Links463, 467, 491, 497, 499, 507

Student Help467, 471, 476, 484, 487, 497,500, 502, 515, 518, 519

Career Links468, 482, 495

Extra Challenge472, 492, 498, 507

Exponential andLogarithmic Functions

�READING, WRITING, ANDNOTETAKING

Reading 464, 465, 468, 474, 486, 489, 517,518Writing 479, 484, 498, 506, 507, 516, 529Notetaking 464, 468, 480, 486, 489, 493,494, 518, 523Vocabulary 464, 469, 477, 483, 490, 496,505, 513, 520, 524

Page 1 of 2

CHAPTER

9Rational Equations and Functions

CHAPTER STUDY GUIDE 532

9.1 Inverse and Joint Variation: EXPLORING DATA AND STATISTICS 534

� CONCEPT ACTIVITY: Investigating Inverse Variation, 533

9.2 Graphing Simple Rational Functions 540

� GRAPHING CALCULATOR: Graphing Rational Functions, 546

9.3 Graphing General Rational Functions 547QUIZ 1, 553

9.4 Multiplying and Dividing Rational Expressions 554

� GRAPHING CALCULATOR: Operations with Rational Expressions, 561

9.5 Addition, Subtraction, and Complex Fractions 562

9.6 Solving Rational Equations 568QUIZ 2, 574

ASSESSMENT

Skill Review, 532Quizzes, 553, 574Test Preparation Questions, 539, 545,552, 560, 567, 573Chapter Summary, Review, and Test, 575Chapter Standardized Test, 580Cumulative Practice, Chapters 1–9, 582Project, Chapters 7–9, 584

APPLICATIONHIGHLIGHTS

Skydiving 531, 557Oceanography 535Biology 535Business 542Manufacturing 549Farmland 559Statistics 563Photography 564Chemistry 570Rodeos 570

MATH & HISTORY

Deep Water Diving 574

INTERNETCONNECTIONS

www.mcdougallittell.com

Application Links531, 536, 574

Student Help538, 541, 546, 551, 556, 561, 564, 568

Career Links551, 559, 566

Extra Challenge539, 545, 552, 560, 567, 573

PROJECT

Chapters 7–9 Project 584

xiv Contents

Rational Equations and Functions

�READING, WRITING, ANDNOTETAKING

Reading 532, 534, 540, 547Writing 539, 545, 560, 581Notetaking 532, 547, 554, 575Vocabulary 532, 537, 543, 550, 558, 565,571, 576

Page 1 of 2

Contents xv

CHAPTER

10Quadratic Relations and Conic Sections

CHAPTER STUDY GUIDE 588

The Distance and Midpoint Formulas: EXPLORING DATA AND STATISTICS 589

Parabolas 595

Circles 601QUIZ 1, 607

� GRAPHING CALCULATOR: Graphing Circles, 608

Ellipses 609

Hyperbolas 615QUIZ 2, 621

Graphing and Classifying Conics 623

� CONCEPT ACTIVITY: Exploring Conic Sections, 622

Solving Quadratic Systems 632QUIZ 3, 638

EXTENSION: Eccentricity of Conic Sections 639

ASSESSMENT

Skill Review, 588Quizzes, 607, 621, 638Test Preparation Questions, 594, 600,606, 614, 620, 630, 637Chapter Summary, Review, and Test, 641Chapter Standardized Test, 646

10.7

10.6

10.5

10.4

10.3

10.2

10.1

APPLICATIONHIGHLIGHTS

Telescopes 587, 627Archeology 591Solar Energy 597Ocean Navigation 603Landscaping 611Photography 617Sculpture 617Communications 625Seismology 634Astronomy 640

MATH & HISTORY

History of Conic Sections631

INTERNETCONNECTIONS

www.mcdougallittell.com

Application Links587, 597, 617, 620, 631

Student Help593, 596, 602, 608, 610, 619, 624, 637

Career Links593, 606, 634, 636

Extra Challenge594, 600, 606, 614, 620, 630, 637

Quadratic Relations and Conic Sections

�READING, WRITING, ANDNOTETAKING

Reading 588, 589, 595, 601, 609, 615, 623,626, 639Writing 600, 605, 614, 620, 647Notetaking 588, 589, 590, 596, 601, 609,615, 623, 626, 639, 641Vocabulary 588, 592, 598, 604, 612, 618,628, 635, 642

Page 1 of 2

CHAPTER

11Sequences and Series

CHAPTER STUDY GUIDE 650

An Introduction to Sequences and Series 651

� GRAPHING CALCULATOR: Working with Sequences, 658

Arithmetic Sequences and Series 659

Geometric Sequences and Series 666QUIZ 1, 673

Infinite Geometric Series 675

� CONCEPT ACTIVITY: Investigating an Infinite Geometric Series, 674

Recursive Rules for Sequences 681QUIZ 2, 687

� SPREADSHEET SOFTWARE: Evaluating Recursive Rules, 688

EXTENSION: Mathematical Induction 689

ASSESSMENT

Skill Review, 650Quizzes, 673, 687Test Preparation Questions, 657, 665,672, 680, 686Chapter Summary, Review, and Test, 691Chapter Standardized Test, 696

11.5

11.4

11.3

11.2

11.1

APPLICATIONHIGHLIGHTS

Fractals 649, 685Seating Capacity 662Honeycombs 664Cellular Phones 669Tennis 671Computer Science 671Ball Bounce 677Tourism 679Fish 683Tree Farm 685

MATH & HISTORY

Fibonacci Sequence 687

INTERNETCONNECTIONS

www.mcdougallittell.com

Application Links649, 669, 687

Student Help656, 658, 664, 668, 676, 685, 688

Career Links664, 671, 679, 683, 685

Extra Challenge657, 665, 672, 680, 686

xvi Contents

Sequences and Series

�READING, WRITING, ANDNOTETAKING

Reading 650, 651, 652, 653, 654, 681, 689Writing 664, 672, 697Notetaking 650, 654, 659, 661, 666, 668,675, 689, 691Vocabulary 650, 655, 663, 670, 678, 684,692

Page 1 of 2

Contents xvii

CHAPTER

12Probability and Statistics

CHAPTER STUDY GUIDE 700

The Fundamental Counting Principle and Permutations 701

Combinations and the Binomial Theorem 708QUIZ 1, 715

An Introduction to Probability 716

� GRAPHING CALCULATOR: Generating Random Numbers, 723

Probability of Compound Events 724

Probability of Independent and Dependent Events 730QUIZ 2, 737

Binomial Distributions 739

� CONCEPT ACTIVITY: Investigating Binomial Distributions, 738

� GRAPHING CALCULATOR: Constructing a Binomial Distribution, 745

Normal Distributions: EXPLORING DATA AND STATISTICS 746QUIZ 3, 752

EXTENSION: Expected Value 753

ASSESSMENT

Skill Review, 700

Quizzes, 715, 737, 752

Test Preparation Questions, 707, 714,722, 729, 736, 744, 751

Chapter Summary, Review, and Test, 755

Chapter Standardized Test, 760

Cumulative Practice, Chapters 1–12, 762

Project, Chapters 10–12, 764

12.7

12.6

12.5

12.4

12.3

12.2

12.1

APPLICATIONHIGHLIGHTS

Concerts 699, 713Criminology 702Sports 703Internet 717Entertainment 718Business 725Home Electronics 726Baseball 730Endangered Species 732Health Statistics 747

MATH & HISTORY

Probability Theory 737

INTERNETCONNECTIONS

www.mcdougallittell.com

Application Links699, 713, 721, 737, 741

Student Help703, 704, 706, 709, 711, 718, 723, 726, 729, 735, 743, 745, 751, 754

Career Links702, 728, 735, 748

Extra Challenge707, 714, 722, 729, 736, 744, 751

PROJECT

Chapters 10–12 Project 764

Probability and Statistics

�READING, WRITING, ANDNOTETAKING

Reading 700, 701, 716, 724, 739, 741, 746Writing 714, 751Notetaking 700, 701, 703, 704, 708, 710,716, 724, 726, 730, 732, 739, 741, 746, 748,753, 755Vocabulary 700, 705, 712, 719, 727, 734,742, 749, 756

Page 1 of 2

CHAPTER

13Trigonometric Ratios andFunctions

CHAPTER STUDY GUIDE 768

Right Triangle Trigonometry 769

General Angles and Radian Measure 776QUIZ 1, 783

Trigonometric Functions of Any Angle 784

Inverse Trigonometric Functions 792

� CONCEPT ACTIVITY: Investigating Inverse Trigonometric Functions, 791QUIZ 2, 798

The Law of Sines 799

The Law of Cosines 807

Parametric Equations and Projectile Motion: EXPLORING DATA AND STATISTICS 813QUIZ 3, 819

� GRAPHING CALCULATOR: Graphing Parametric Equations, 820

ASSESSMENT

Skill Review, 768Quizzes, 783, 798, 819Test Preparation Questions, 774, 782,790, 797, 806, 812, 818Chapter Summary, Review, and Test, 821Chapter Standardized Test, 826

13.7

13.6

13.5

13.4

13.3

13.2

13.1

APPLICATIONHIGHLIGHTS

Drawbridges 767, 796Bicycles 778Space Needle Building 779Golf 787Marching Band 787Rock Salt 794Construction 794Astronomy 801Softball 808Aviation 814

MATH & HISTORY

Columbus’s Voyage 775

INTERNETCONNECTIONS

www.mcdougallittell.com

Application Links767, 775, 778, 817

Student Help770, 777, 786, 796, 804, 811, 817, 820

Career Links789, 801, 805, 811

Extra Challenge774, 782, 790, 797, 806, 812, 818

xviii Contents

Trigonometric Ratios andFunctions

�READING, WRITING, ANDNOTETAKING

Reading 768, 769, 770, 776, 779, 784, 785,786, 792, 800Writing 774, 797, 805, 806, 827Notetaking 768, 769, 777, 779, 784, 786,792, 799, 800, 802, 807, 809, 821Vocabulary 768, 772, 780, 788, 795, 803,810, 816, 822

Page 1 of 2

Contents xix

CHAPTER

14Trigonometric Graphs,Identities, and Equations

CHAPTER STUDY GUIDE 830

Graphing Sine, Cosine, and Tangent Functions 831

� GRAPHING CALCULATOR: Graphing Trigonometric Functions, 838

Translations and Reflections of Trigonometric Graphs 840

� CONCEPT ACTIVITY: Translating and Reflecting Trigonometric Graphs, 839

QUIZ 1, 847

Verifying Trigonometric Identities 848

Solving Trigonometric Equations 855

Modeling with Trigonometric Functions: EXPLORING DATA AND STATISTICS 862QUIZ 2, 868

Using Sum and Difference Formulas 869

Using Double- and Half-Angle Formulas 875QUIZ 3, 882

ASSESSMENT

Skill Review, 830Quizzes, 847, 868, 882Test Preparation Questions, 837, 846,854, 861, 867, 874, 881Chapter Summary, Review, and Test, 883Chapter Standardized Test, 888Cumulative Practice, Chapters 1–14, 890Project, Chapters 13–14, 892

14.7

14.6

14.5

14.4

14.3

14.2

14.1

APPLICATIONHIGHLIGHTS

Ferris Wheel 829, 842Music 833Rappelling 843Physical Fitness 851Meteorology 863Biomechanics 871Auto Engineering 871Sports 878Inca Dwellings 881Optics 881

MATH & HISTORY

Music and Math 868

INTERNETCONNECTIONS

www.mcdougallittell.com

Application Links829, 842, 860, 868, 878

Student Help836, 838, 845, 851, 857, 862, 873, 877

Career Links836, 858, 871

Extra Challenge837, 846, 854, 861, 867, 874, 881

PROJECT

Chapters 13–14 Project 892

Trigonometric Graphs,Identities, and Equations

�READING, WRITING, ANDNOTETAKING

Reading 830, 831, 832, 834, 848, 869, 875Writing 846, 854, 866, 880Notetaking 830, 832, 834, 840, 843, 848,869, 875, 883Vocabulary 830, 835, 844, 852, 859, 865,872, 879, 884

Page 1 of 2

DERIVATIONS OF KEY FORMULAS 895–904

SKILLS REVIEW HANDBOOK 905–939

Real Numbers 905–913 Operations with Signed Numbers • Converting Decimals, Fractions, andPercents • Calculating Percents • Least Common Denominator • WritingRatios and Solving Proportions • Significant Digits • Scientific Notation

Geometry 914–923 Perimeter, Area, and Volume • Triangle Relationships • Symmetry •Transformations • Similar Figures

Logical Reasoning 924–929Logical Argument • If-Then Statements • Counterexamples •Justify Reasoning

Problem Solving 929–932Translating Phrases into Algebraic Expressions • Additional Problem Solving Strategies

Graphing 933–936Points in the Coordinate Plane • Bar, Circle, and Line Graphs

Algebra 936–939Opposites • Multiplying Binomials • Factoring • Least CommonDenominator

EXTRA PRACTICE FOR CHAPTERS 1–14 940–960

TABLES 961–970

Symbols 961 • Measures 962 • Formulas 963–968 • Properties 969–970

MIXED PROBLEM SOLVING 971–984

APPENDICES 985–1000

GLOSSARY 1001–1010

ENGLISH-TO-SPANISH GLOSSARY 1011–1022

INDEX 1023–1041

CREDITS 1043–1044

SELECTED ANSWERS SA1–SA64

▲

Student Resources

xx Contents