Algebra 2: Prentice Hall Mathematics

, by Bellman, Allan E.; Bragg, Sadie Chavis; Charles, Randall I.; Handlin, William G.; Kennedy, Dan

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ISBN: 9780130625687 | 013062568X
Cover: Hardcover
Copyright: 5/1/2003

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Supplemental Materials

Chapter 1 Tool of Algebra

Diagnosing Readiness

(2)

1-1 Properties of Real Numbers

(8)

Investigation: Exploring Pi,

(1)

1-2 Algebraic Expressions

(6)

1-3 Solving Equations

(6)

Technology: Spreadsheets,

Checkpoint Quiz 1

(2)

1-4 Solving Inequalities

(7)

Reading Math: Reading an Example,

(1)

1-5 Absolute Value Equations and Inequalities

(5)

Checkpoint Quiz 2

(1)

1-6 Probability

(7)

Assessment

Test-Taking Strategies: Writing Gridded Responses,

(1)

Chapter Review,

(3)

Chapter Test,

(1)

Standardized Test Prep: Reading Comprehension,

(1)

Chapter 2 Functions, Equations, and Graphs

Diagnosing Readiness

(3)

2-1 Relations and Functions

(7)

Algebra 1 Review: The Coordinate Plane,

(8)

2-2 Linear Equations

(10)

Extension: Piecewise Functions,

(1)

2-3 Direct Variation

(5)

Checkpoint Quiz 1

(1)

2-4 Using Linear Models

(8)

Technology: Finding a Line of Best Fit,

(1)

2-5 Absolute Value Functions and Graphs

(5)

2-6 Vertical and Horizontal Translations

(8)

Checkpoint Quiz 2

(1)

2-7 Two-Variable Inequalities

(7)

Reading Math: Reading for Problem Solving,

105

(1)

Assessment

Test-Taking Strategies: Writing Short Responses,

106

(1)

Chapter Review,

107

(3)

Chapter Test,

110

(1)

Standardized Test Prep: Cumulative Review,

111

(1)

Real-World Snapshots: Applying Variation

112

(2)

Chapter 3 Linear systems

Diagnosing Readiness

114

(2)

3-1 Graphing Systems of Equations

116

(7)

Extension: Parametric Equations,

122

(1)

3-2 Solving Systems Algebraically

123

(7)

Reading Math: Reading for Problem Solving,

129

(1)

3-3 Systems of Inequalities

130

(4)

Checkpoint Quiz 1

134

(1)

3-4 Linear Programming

135

(7)

Technology: Linear Programming,

141

(1)

3-5 Graphs in Three Dimensions

142

(5)

Checkpoint Quiz 2

147

(1)

3-6 Systems with Three Variables

148

(8)

Assessment

Test-Taking Strategies: Writing Extended Responses,

156

(1)

Chapter Review,

157

(3)

Chapter Test,

160

(1)

Standardized Test Prep: Reading Comprehension,

161

(1)

Chapter 4 Matrices

Diagnosing Readiness

162

(2)

4-1 Organizing Data Into Matrices

164

(6)

4-2 Adding and Subtracting Matrices

170

(8)

Technology: Working With Matrices,

177

(1)

4-3 Matrix Multiplication

178

(7)

Checkpoint Quiz 1

185

(2)

4-4 Geometric Transformations With Matrices

187

(8)

Geometry Review: Geometric Transformations,

186

(9)

4-5 2x2 Matrices, Determinants, and Inverses

195

(7)

4-6 3x3 Matrices, Determinants, and Inverses

202

(5)

Extension: Networks,

208

Checkpoint Quiz 2

207

(3)

4-7 Inverse Matrices and Systems

210

(7)

Reading Math: Reading for Problem Solving,

216

(1)

4-8 Augmented Matrices and Systems

217

(7)

Assessment

Test-Taking Strategies: Making Quantitative Comparisons,

224

(1)

Chapter Review,

225

(3)

Chapter Test,

228

(1)

Standardized Test Prep: Cumulative Review,

229

(1)

Real-World Snapshots: Applying Inequalities

230

(2)

Chapter 5 Quadratic Equations and Functions

Diagnosing Readiness

232

(2)

5-1 Modeling Data with Quadratic Functions

234

(7)

Technology: Modeling Using Residuals,

240

(1)

5-2 Properties of Parabolas

241

(7)

5-3 Translating Parabolas

248

(6)

Checkpoint Quiz 1

254

(1)

5-4 Factoring Quadratic Expressions

255

(8)

5-5 Quadratic Equations

263

(7)

Algebra 1 Review: square Roots and Radicals,

262

(7)

Extension: Quadratic Inequalities,

269

(1)

5-6 Complex Numbers

270

(6)

Checkpoint Quiz 2

276

(2)

5-7 Completing the Square

278

(7)

Investigation: Completing the Square,

277

(7)

Reading Math: Reading Formulas,

284

(1)

5-8 The Quadratic Formula

285

(7)

Assessment

Test-Taking strategies: Using a Variable,

292

(1)

Chapter Review,

293

(3)

Chapter Test,

296

(1)

Standardized Test Prep: Reading Comprehension,

297

(1)

Chapter 6 Polynomials and Polynomial Functions

Diagnosing Readiness

298

(2)

6-1 Polynomial Functions

300

(7)

Extension: End Behavior,

306

(1)

6-2 Polynomials and Linear Factors

307

(7)

6-3 Dividing Polynomials

314

(6)

Checkpoint Quiz 1

320

(1)

6-4 Solving Polynomial Equations

321

(8)

Reading Math: Reading for Problem Solving,

327

(1)

Extension: Descartes's Rule of Signs,

328

(1)

6-5 Theorems about Roots of Polynomial Equations

329

(6)

6-6 The Fundamental Theorem of Algebra

335

(4)

6-7 Permutations and Combinations

339

(6)

Checkpoint Quiz 2

345

(2)

6-8 The Binomial Theorem

347

(5)

Investigation: Pascal's Triangle,

346

(6)

Assessment

Test-Taking Strategies: Drawing a Diagram,

352

(1)

Chapter Review,

353

(3)

Chapter Test,

356

(1)

Standardized Test Prep: Cumulative Review,

357

(1)

Real-World Snapshots: Applying Quadratic Functions

358

(2)

Chapter 7 Radical Functions and Rational Exponents

Diagnosing Readiness

360

(3)

7-1 Roots and Radical Expressions

363

(5)

Algebra 1 Review: Properties of Exponents,

362

(6)

7-2 Multiplying and Dividing Radical Expressions

368

(6)

7-3 Binomial Radical Expressions

374

(4)

Checkpoint Quiz 1

378

(1)

7-4 Rational Exponents

379

(6)

7-5 Solving Radical Equations

385

(7)

Geometry Review: Radical Expressions in Formulas,

391

(1)

7-6 Function Operations

392

(6)

Reading Math: Reading Mathematical Symbols,

399

Checkpoint Quiz 2

398

(2)

7-7 Inverse Relations and Functions

400

(8)

Technology: Graphing Inverses,

407

(1)

7-8 Graphing Radical Functions

408

(6)

Assessment

Test-Taking Strategies: Finding Multiple Correct Answers,

414

(1)

Chapter Review,

415

(3)

Chapter Test,

418

(1)

Standardized Test Prep: Reading Comprehension,

419

(1)

Chapter 8 Exponential and Logarithmic Functions

Diagnosing Readiness

420

(2)

8-1 Exploring Exponential Models

422

(9)

Technology: Fitting Exponential Curves to Data,

430

(1)

8-2 Properties of Exponential Functions

431

(6)

Checkpoint Quiz 1

437

(1)

8-3 Logarithmic Functions as Inverses

438

(8)

Reading Math: Reading Data,

445

(1)

8-4 Properties of Logarithms

446

(7)

Technology: Verifying Properties of Logarithms,

452

(1)

8-5 Exponential and Logarithmic Equations

453

(7)

Technology: Linear and Exponential Models,

461

Checkpoint Quiz 2

460

(2)

8-6 Natural Logarithms

462

(6)

Assessment

Test-Taking Strategies: Testing Multiple Choices,

468

(1)

Chapter Review,

469

(3)

Chapter Test,

472

(1)

Standardized Test Prep: Cumulative Review,

473

(1)

Real-World Snapshots: Applying Exponential Functions

474

(2)

Chapter 9 Rational Functions

Diagnosing Readiness

476

(2)

9-1 Inverse Variation

478

(7)

Technology: Graphing Rational Functions,

484

(1)

9-2 Graphing Inverse Variations

485

(6)

9-3 Rational Functions and Their Graphs

491

(7)

Checkpoint Quiz 1

498

(1)

9-4 Rational Expressions

499

(5)

9-5 Adding and Subtracting Rational Expressions

504

(6)

Checkpoint Quiz 2

510

(2)

9-6 Solving Rational Equations

512

(7)

Investigation: Extraneous Solutions,

511

(7)

Reading Math: Reading for Problem Solving,

518

(1)

9-7 Probability of Multiple Events

519

(7)

Assessment

Test-Taking Strategies: Eliminating Answers,

526

(1)

Chapter Review,

527

(3)

Chapter Test,

530

(1)

Standardized Test Prep: Reading Comprehension,

531

(1)

Chapter 10 Quadratic Relations

Diagnosing Readiness

532

(3)

10-1 Exploring Conic Sections

535

(8)

Investigation: Conic Sections,

534

(8)

Technology: Graphing Conic Sections,

542

(1)

10-2 Parabolas

543

(6)

10-3 Circles

549

(5)

Extension: Using Parametric Form,

555

Checkpoint Quiz 1

554

(2)

10-4 Ellipses

556

(6)

10-5 Hyperbolas

562

(6)

Reading Math: Reading for Problem Solving,

569

Checkpoint Quiz 2

568

(2)

10-6 Translating Conic Sections

570

(8)

Extension: Solving Quadratic Systems,

577

(1)

Assessment

Test-Taking Strategies: Choosing Cannot Be Determined,

578

(1)

Chapter Review,

579

(3)

Chapter Test,

582

(1)

Standardized Test Prep: Cumulative Review,

583

(1)

Real-World Snapshots: Applying Conic Sections

584

(2)

Chapter 11 Sequences and Series

Diagnosing Readiness

586

(2)

11-1 Mathematical Patterns

588

(6)

11-2 Arithmetic Sequences

594

(6)

Extension: The Fibonacci Sequence,

599

(1)

11-3 Geometric Sequences

600

(5)

Reading Math: Reading for Problem Solving,

606

Checkpoint Quiz 1

605

(2)

11-4 Arithmetic Series

607

(7)

11-5 Geometric Series

614

(5)

Investigation: Geometry and Infinite Series,

613

(7)

Extension: Mathematical Induction,

620

Checkpoint Quiz 2

619

(4)

11-6 Area Under a Curve

623

(5)

Technology: Evaluating Series,

622

(6)

Assessment

Test-Taking Strategies: Using Estimation,

628

(1)

Chapter Review,

629

(3)

Chapter Test,

632

(1)

Standardized Test Prep: Reading Comprehension,

633

(1)

Chapter 12 Probability and Statistics

Diagnosing Readiness

634

(2)

12-1 Probability Distributions

636

(6)

12-2 Conditional Probability

642

(6)

Extension: Comparing Conditional Probabilities,

647

(1)

12-3 Analyzing Data

648

(7)

Checkpoint Quiz 1

655

(1)

12-4 Standard Deviation

656

(7)

12-5 Working with Samples

663

(8)

Reading Math: Reading Math Vocabulary,

670

(1)

12-6 Binomial Distributions

671

(6)

Checkpoint Quiz 2

677

(1)

12-7 Normal Distributions

678

(8)

Technology: Area Under a Curve,

685

(1)

Assessment

Test-Taking Strategies: Answering the Question Asked,

686

(1)

Chapter Review,

687

(3)

Chapter Test,

690

(1)

Standardized Test Prep: Cumulative Review,

691

(1)

Real-World Snapshots: Applying Sequences

692

(2)

Chapter 13 Periodic Functions and Trigonometry

Diagnosing Readiness

694

(2)

13-1 Exploring Periodic Data

696

(8)

13-2 Angles and the Unit Circle

704

(8)

Geometry Review: Special Right Triangles,

703

(9)

13-3 Radian Measure

712

(7)

Investigation: Measuring Radians,

711

(8)

Checkpoint Quiz 1

719

(1)

13-4 The Sine Function

720

(9)

Technology: Graphing Trigonometric Functions,

728

(1)

13-5 The Cosine Function

729

(6)

13-6 The Tangent Function

735

(7)

Reading Math: Reading a Graph,

741

(1)

13-7 Translating Sine and Cosine Functions

742

(6)

Checkpoint Quiz 2

748

(1)

13-8 Reciprocal Trigonometric Functions

749

(7)

Assessment

Test-Taking Strategies: Using Mental Math,

756

(1)

Chapter Review,

757

(3)

Chapter Test,

760

(1)

Standardized Test Prep: Reading Comprehension,

761

(1)

Chapter 14 Trigonometric Identities and Equations

Diagnosing Readiness

762

(2)

14-1 Trigonometric Identities

764

(5)

14-2 Solving Trigonometric Equations Using Inverses

769

(9)

Extension: Lissajous Figures,

777

(1)

14-3 Right Triangles and Trigonometric Ratios

778

(7)

Reading Math: Reading a Diagram,

786

Checkpoint Quiz 1

785

(2)

14-4 Area and The Law of Sines

787

(7)

Extension: The Ambiguous Case,

793

(1)

14-5 The Law of Cosines

794

(6)

14-6 Angle Identities

800

(6)

Checkpoint Quiz 2

806

(1)

14-7 Double-Angle and Half-Angle Identities

807

(5)

Assessment

Test-Taking Strategies: Answering Open-Ended Questions,

812

(1)

Chapter Review,

813

(3)

Chapter Test,

816

(1)

Standardized Test Prep: Cumulative Review,

817

(3)

Real-World Snapshots: Applying Trigonometry

820

(2)

Extra Practice

822

(14)

Skills Handbook

Draw a Diagram

836

(1)

Try, Check, Revise

837

(1)

Look for a Pattern and Make a Table

838

(1)

Solve a Simpler Problem

839

(1)

Use Logical Reasoning

840

(1)

Work Backward

841

(1)

Percents and Percent Applications

842

(1)

Operations with Fractions

843

(1)

Ratios and Proportions

844

(1)

Simplifying Expressions with Integers

845

(1)

Valuating Formulas and Solving Literal Equations

846

(1)

Area and Volume

847

(1)

The Coordinate Plane, Midpoint, and Slope

848

(1)

Solving Linear Equations and Inequalities

849

(1)

Absolute Value Equations and Inequalities

850

(1)

Graphing Two-Variable Equations and Inequalities

851

(1)

Operations with Exponents

852

(1)

Factoring and Operations with Polynomials

853

(1)

Scientific Notation and Significant Digits

854

(1)

Operations with Radicals

855

(1)

The Pythagorean Theorem and the Distance Formula

856

(1)

Bar Graphs and Circle Graphs

857

(1)

Descriptive Statistics and Histograms

858

(1)

Operations with Rational Expressions

859

(1)

Tables

Measures

860

(1)

Symbols

861

(1)

Squares and Square Roots

862

(1)

Trigonometric Ratios

863

(1)

Random Numbers

864

(1)

Properties and Formulas

865

(6)

English/Spanish Illustrated Glossary

871

(43)

Answers to Instant Check System™

914

(29)

Selected Answers

943

(39)

Index

982

(14)

Acknowledgments

996

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Algebra 2: Prentice Hall Mathematics

Table of Contents

Supplemental Materials