Contents

A Tour of Your Textbook ..................... vi

Unit 1 Patterns ..................................... 2

Chapter 1 Sequences and Series ................... 41.1 Arithmetic Sequences ..............................................6

1.2 Arithmetic Series ..................................................... 22

1.3 Geometric Sequences ........................................... 32

1.4 Geometric Series ..................................................... 46

1.5 In nite Geometric Series ..................................... 58

Chapter 1 Review ............................................................ 66

Chapter 1 Practice Test ................................................ 69

Unit 1 Project .................................................................... 71

Chapter 2 Trigonometry ................................ 722.1 Angles in Standard Position ............................... 74

2.2 Trigonometric Ratios of Any Angle ................. 88

2.3 The Sine Law ......................................................... 100

2.4 The Cosine Law .................................................... 114

Chapter 2 Review ......................................................... 126

Chapter 2 Practice Test ............................................. 129

Unit 1 Project ................................................................. 131

Unit 1 Project Wrap-Up .................... 132

Cumulative Review, Chapters 12 ................................. 133

Unit 1 Test ........................................ 136

Unit 2 Quadratics ............................. 138

Chapter 3 Quadratic Functions ................... 1403.1 Investigating Quadratic Functions in

Vertex Form............................................................ 142

3.2 Investigating Quadratic Functions in Standard Form ....................................................... 163

3.3 Completing the Square ...................................... 180

Chapter 3 Review ......................................................... 198

Chapter 3 Practice Test ............................................. 201

Chapter 4 Quadratic Equations .................. 2044.1 Graphical Solutions of Quadratic

Equations ................................................................. 206

4.2 Factoring Quadratic Equations ....................... 218

4.3 Solving Quadratic Equations by Completing the Square ...................................... 234

4.4 The Quadratic Formula ...................................... 244

Chapter 4 Review .....................................................258

Chapter 4 Practice Test ............................................. 261

Unit 2 Project Wrap-Up .................... 263

Cumulative Review, Chapters 34 ................................. 264

Unit 2 Test ........................................ 266

Unit 3 Functions and Equations ..... 268

Chapter 5 Radical Expressions and Equations ....................................................... 2705.1 Working With Radicals ....................................... 272

5.2 Multiplying and Dividing Radical Expressions ............................................................ 282

5.3 Radical Equations ................................................ 294

Chapter 5 Review ......................................................... 304

Chapter 5 Practice Test ............................................. 306

iv MHR Contents

Chapter 6 Rational Expressions and Equations ....................................................... 3086.1 Rational Expressions .......................................... 310

6.2 Multiplying and Dividing Rational Expressions ............................................................ 322

6.3 Adding and Subtracting Rational Expressions ............................................................ 331

6.4 Rational Equations .............................................. 341

Chapter 6 Review ......................................................... 352

Chapter 6 Practice Test ............................................. 355

Chapter 7 Absolute Value and Reciprocal Functions ....................................................... 3567.1 Absolute Value ...................................................... 358

7.2 Absolute Value Functions ................................ 368

7.3 Absolute Value Equations ................................ 380

7.4 Reciprocal Functions .......................................... 392

Chapter 7 Review ......................................................... 410

Chapter 7 Practice Test ............................................. 413

Unit 3 Project Wrap-Up .................... 415

Cumulative Review, Chapters 57 ................................. 416

Unit 3 Test ........................................ 418

Unit 4 Systems of Equations and Inequalities ............................... 420Chapter 8 Systems of Equations ................ 4228.1 Solving Systems of Equations

Graphically .............................................................. 424

8.2 Solving Systems of EquationsAlgebraically ........................................................... 440

Chapter 8 Review ......................................................... 457

Chapter 8 Practice Test ............................................. 459

Unit 4 Project ................................................................. 461

Chapter 9 Linear and Quadratic Inequalities.................................................... 4629.1 Linear Inequalities in Two Variables............ 464

9.2 Quadratic Inequalities in One Variable ........................................................... 476

9.3 Quadratic Inequalities in Two Variables ........................................................ 488

Chapter 9 Review ......................................................... 501

Chapter 9 Practice Test ............................................. 504

Unit 4 Project ................................................................. 506

Unit 4 Project Wrap-Up .................... 507

Cumulative Review, Chapters 89 ................................. 508

Unit 4 Test ........................................ 510

Answers ............................................. 513

Glossary ............................................. 586

Index .................................................. 592

Credits ............................................... 596

Contents MHR v