Algebra 2 : An Integrated Approach

, by Harcourt School

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ISBN: 9780669433944 | 0669433942
Cover: Hardcover
Copyright: 10/1/1996

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Review of Basic Algebra

Chapter Overview

(1)

Real Numbers and Number Operations D

(7)

Algebraic Expressions and Models D, F, G

(9)

Mixed Review

(1)

Career Interview: Architect

(1)

Using a Scientific Calculator or Graphing Calculator

(2)

Solving Linear Equations G

(6)

Problem-Solving Strategies D

(7)

Mid-Chapter Self-Test

(1)

Literal Equations and Formulas F, G

(6)

Solving Linear Inequalities F

(7)

Investigating Solutions of Inequalities

(6)

Mixed Review

(1)

Solving Absolute Value Equations and Inequalities D, F

(6)

Exploring Data: Tables and Graphs D

(14)

Chapter Summary

(1)

Chapter Review D, F, G

(4)

Chapter Test

(2)

Linear Equations

Chapter Overview

(1)

The Graph of an Equation C, D, F

(6)

Slope and Rate of Change C, D, F

(8)

Mixed Review

(1)

Milestones: Mathematical Symbols

(1)

Quick Graphs of Linear Equations C, F

(8)

Using a Graphing Calculator

(2)

Writing Equations of Lines C, D, F

(8)

Mid-Chapter Self-Test

(1)

Graphing Linear Inequalities in Two Variables C, F, G

(7)

Mixed Review

100

(1)

Graphs of Absolute Value Equations C, F

101

(6)

Exploring Data: Fitting a Line to Data C, D, F

107

(15)

Investigating a Best-Fitting Line

107

(7)

Chapter Summary

114

(1)

Chapter Review C, D, F

115

(4)

Chapter Test

119

(2)

Systems of Linear Equations and Inequalities

Chapter Overview

121

(1)

Solving Linear systems by Graphing C, D, F

122

(8)

Using a Graphing Calculator

128

(2)

Solving Linear Systems Algebraically C, D, F

130

(8)

Mixed Review

137

(1)

Career Interview: Air Traffic Controller

137

(1)

Problem Solving Using Linear Systems C, F

138

(7)

Mid-Chapter Self-Test

144

(1)

Solving Systems of Linear Inequalities C, D, F

145

(6)

Investigating the Graph of a System

145

(6)

Exploring Data: Linear Programming C, D, F

151

(6)

Mixed Review

156

(1)

Solving Systems of Linear Equations in Three Variables D

157

(17)

Chapter Summary

165

(1)

Chapter Review C, D, F

166

(3)

Chapter Test

169

(1)

Cumulative Review C, D, F

170

(3)

Matrices and Determinants

Chapter Overview

173

(1)

Exploring Data: Matrix Operations D

174

(6)

Matrix Multiplication D

180

(7)

Mixed Review

186

(1)

Milestones: Arthur Cayley

186

(1)

Determinants C, D

187

(9)

Using a Graphing Calculator

194

(2)

Identity and Inverse Matrices D

196

(8)

Investigating Inverse Matrices

196

(7)

Mid-Chapter Self-Test

203

(1)

Solving Systems Using Inverse Matrices D

204

(6)

Mixed Review

209

(1)

Solving Systems Using Augmented Matrices D

210

(6)

Solving Systems Using Cramer's Rule D

216

(14)

Chapter Summary

222

(1)

Chapter Review C, D

223

(4)

Chapter Test

227

(2)

Quadratic Equations and Parabolas

Chapter Overview

229

(1)

Solving Quadratic Equations by Finding Square Roots C, F, G

230

(6)

Parabolas: Graphs of Quadratic Equations C, F, G

236

(9)

Using a Graphing Calculator

242

(2)

Mixed Review

244

(1)

Career Interview: Epidemiologist

244

(1)

Completing the Square C, F, G

245

(7)

Mid-Chapter Self-Test

251

(1)

The Quadratic Formula C, D, F, G

252

(6)

Complex Numbers

258

(7)

Mixed Review

264

(1)

Solving Any Quadratic Equation C, D, F, G

265

(6)

Investigating Real Solutions of Quadratics

266

(5)

Graphs of Quadratic Inequalities C, D, F

271

(13)

Chapter Summary

277

(1)

Chapter Review C, D, F

278

(3)

Chapter Test

281

(2)

Functions

Chapter Overview

283

(1)

Relations and Functions C, D, F, G

284

(7)

Function Operations C, D, F, G

291

(7)

Mixed Review

297

(1)

Milestones: Fractals

297

(1)

Inverse Functions C, D, F, G

298

(8)

Mid-Chapter Self-Test

305

(1)

Special Functions C, F

306

(8)

Using a Graphing Calculator

312

(2)

Transformations of Graphs of Functions C, F

314

(7)

Investigating Horizontal and Vertical Shifts

314

(6)

Mixed Review

320

(1)

Recursive Functions and Finite Differences D, F

321

(6)

Exploring Data: Measures of Central Tendency D

327

(19)

Chapter Summary

333

(1)

Chapter Review C, D, F, G

334

(5)

Chapter Test

339

(1)

Cumulative Review C, D, F

340

(5)

Powers, Roots, and Radicals

Chapter Overview

345

(1)

Properties of Exponents D, G

346

(6)

Investigating Operations with Powers

346

(6)

Exploring Data: Compound Interest and Exponential Growth C, D, F

352

(8)

Mixed Review

359

(1)

Career Interview: Contractor

359

(1)

nth Roots and Rational Exponents G

360

(8)

Mid-Chapter Self-Test

367

(1)

Properties of Roots and Real Numbers D, G

368

(6)

Solving Radical Equations C, D, F, G

374

(7)

Mixed Review

380

(1)

Graphing Square Root and Cube Root Functions C, D, F, G

381

(17)

Using a Graphing Calculator

388

(2)

Chapter Summary

390

(1)

Chapter Review C, D, F

391

(4)

Chapter Test

395

(2)

Exponential and Logarithmic Functions

Chapter Overview

397

(1)

Exponential Functions C, D, F

398

(7)

Investigating Irrational Exponents

400

(5)

Logarithmic Functions C, F

405

(8)

Mixed Review

412

(1)

Milestones: Logarithms

412

(1)

Properties of Logarithms D

413

(7)

Mid-Chapter Self-Test

419

(1)

The Natural Base e C, D, F

420

(8)

Natural Logarithms C, F

428

(6)

Using a Graphing Calculator

432

(2)

Solving Exponential and Logarithmic Equations D, F

434

(7)

Mixed Review

440

(1)

Exploring Data: Logistics Growth Functions C, D, F

441

(15)

Using a Graphing Calculator

447

(1)

Chapter Summary

448

(1)

Chapter Review C, D, F

449

(4)

Chapter Test

453

(2)

Polynomials and Polynomial Functions

Chapter Overview

455

(1)

Operations with Polynomials D, F, G

456

(7)

Graphs of Polynomial Functions C, F, G

463

(10)

Using a Graphing Calculator

470

(2)

Mixed Review

472

(1)

Career Interview: Nursing Home Director

472

(1)

Factoring Polynomials and Solving Polynomial Equations D, G

473

(7)

Investigating Factoring Patterns

473

(7)

Polynomial Division, Factors, and Remainders C, D, F, G

480

(8)

Mid-Chapter Self-Test

487

(1)

Finding Rational Zeros C, D, F

488

(6)

Mixed Review

493

(1)

Connections: Zeros, Factors, and Solutions C, F

494

(7)

Exploring Data: Measures of Dispersion D

501

(17)

Chapter Summary

508

(1)

Chapter Review C, D, F

509

(4)

Chapter Test

513

(1)

Cumulative Review C, F

514

(3)

Rational Functions

Overview

517

(1)

Graphs of Rational Functions C, D, F

518

(8)

Using a Graphing Calculator

524

(2)

Inverse and Joint Variation C

526

(7)

Mixed Review

532

(1)

Milestones: Abel and Galois

532

(1)

Multiplying and Dividing Rational Expressions G

533

(8)

Investigating Simplification Strategies

533

(7)

Mid-Chapter Self-Test

540

(1)

Solving Rational Equations C, D, F

541

(7)

Addition, Subtraction, and Complex Fractions

548

(7)

Mixed Review

554

(1)

Exploring Data: The Algebra of Finance D

555

(15)

Chapter Summary

561

(1)

Chapter Review C, D, F, G

562

(5)

Chapter Test

567

(2)

Quadratic Relations

Chapter Overview

569

(1)

Parabolas C, D, F, G

570

(6)

Circles and Points of Intersection C, F, G

576

(7)

Investigating Points of Intersection

577

(5)

Mixed Review

582

(1)

Career Interview: Sales Coordinator

582

(1)

Ellipses C, G

583

(7)

Mid-Chapter Self-Test

589

(1)

Hyperbolas C, D, F, G

590

(7)

Translations of Conics C, D, F

597

(9)

Mixed Review

603

(1)

Using a Graphing Calculator

604

(2)

Classifying Conics C, D, F

606

(16)

Chapter Summary

614

(1)

Chapter Review C, D, F

615

(4)

Chapter Test

619

(2)

Sequences and Series

Chapter Overview

621

(1)

Sequences and Series F, G

622

(7)

Arithmetic Sequences and Series C, F

629

(8)

Mixed Review

636

(1)

Milestones: Godel's Proof

636

(1)

Geometric Sequences and Series D, F, G

637

(8)

Mid-Chapter Self-Test

644

(1)

Infinite Geometric Series D, F, G

645

(6)

The Binomial Theorem D

651

(7)

Investigating Pascal's Triangle

652

(5)

Mixed Review

657

(1)

Exploring Data: The Algebra of Finance D

658

(20)

Using a Programmable or Graphing Calculator

664

(2)

Chapter Summary

666

(1)

Chapter Review D, F

667

(4)

Chapter Test

671

(1)

Cumulative Review C, D, F, G

672

(5)

Trigonometric Ratios and Functions

Chapter Overview

677

(1)

Right Triangle Trigonometry G, T

678

(7)

Angles of Rotation and Radian Measure D, G, T

685

(8)

Mixed Review

692

(1)

Career Interview: Dermatologist

692

(1)

Evaluating Trigonometric Functions C, G, T

693

(10)

Using a Graphing Calculator

700

(2)

Mid-Chapter Self-Test

702

(1)

Inverse Trigonometric Functions D, G, T

703

(6)

Investigating Inverse Trig Functions

703

(6)

The Law of Sines D, G, T

709

(7)

Mixed Review

715

(1)

The Law of Cosines G, T

716

(14)

Chapter Summary

722

(1)

Chapter Review G, T

723

(4)

Chapter Tests

727

(2)

Trigonometric Graphs, Identities, and Equations

Chapter Overview

729

(1)

Graphs of Sine and Cosine Functions D, F, T

730

(7)

Investigating Sine and Cosine Graphs

730

(7)

Translations and Reflections of Graphs C, F, T

737

(7)

Mixed Review

743

(1)

Milestones: Unsolved Problems

743

(1)

Trigonometric Identities T

744

(9)

Using a Graphing Calculator

750

(2)

Mid-Chapter Self-Test

752

(1)

Solving Trigonometric Equations D, F, G, T

753

(7)

Sum and Difference Formulas F, T

760

(6)

Mixed Review

765

(1)

Double-and Half-Angle Formulas C, F, T

766

(16)

Chapter Summary

772

(1)

Chapter Review C, F, T

773

(4)

Chapter Test

777

(1)

Cumulative Review C, G, T

778

(3)

Probability and Statistics

Chapter Overview

781

(1)

Introduction to Probability D, G

782

(6)

Counting Methods: Permutations D, G

788

(8)

Mixed Review

795

(1)

Career Interview: Illustrator

795

(1)

Counting Methods: Combinations D, G

796

(9)

Using a Graphing Calculator

802

(2)

Mid-Chapter Self-Test

804

(1)

Probability, Unions, and Intersections D

805

(6)

Independent Events D

811

(6)

Investigating Random Numbers

811

(5)

Mixed Review

816

(1)

Expected Value D, G

817

(13)

Chapter Summary

823

(1)

Chapter Review D, G

824

(4)

Chapter Test

828

(2)

Properties, Models, Transformations, Formulas

830

(6)

Glossary

836

(10)

Student Handbook

846

(10)

Technology Appendix

856

(12)

Selected Answers

868

(63)

Index

931

(11)

Acknowledgments

942

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Algebra 2 : An Integrated Approach

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