**Conquering Act Math and Science, Fifth Edition**

By Steven W Dulan and Amy Dulan

**Contents:**

About the Authors ix

ACT Computer-Based Testing xi

Introduction 1

About the ACT 1

Structure of the ACT 1

How to Use This Book 3

General Test-Taking Information and Strategies 4

What to Do on Test Day 11

What’s Next? 12

PART I The ACT Mathematics Test 13

Chapter 1 Format and Scoring 15

Format 15

Scoring 16

What’s Next? 16

Chapter 2 ACT Mathematics Diagnostic Test 17

Answer Key 36

Scoring Worksheet 36

Answers and Explanations 37

Chapter 3 Strategies and Techniques 43

Apply Logic 43

Draw Pictures 44

Answer the Question That You Are Asked 45

Don’t Quit Early 45

Let the Answer Choices Guide You 46

Substitute Numbers for the Variables 47

Read the Questions Carefully 48

What’s Next? 49

PART II ACT Mathematics Test Content Areas 51

Chapter 4 Content Areas Tested 53

Concepts 53

What’s Next? 78

Chapter 5 Applying Strategies, Building Skills 79

Pre-Algebra 79

Elementary Algebra 83

Intermediate Algebra 84

Coordinate Geometry 86

Plane Geometry 89

Trigonometry 93

Matrices and Vectors 95

Answers and Explanations 97

What’s Next? 106

PART III Practice Tests 107

Chapter 6 Practice Test 1 with Explanations 109

Answer Key 128

Scoring Worksheet 128

Answers and Explanations 129

Chapter 7 Practice Test 2 with Explanations 137

Answer Key 155

Scoring Worksheet 155

Answers and Explanations 156

Chapter 8 Practice Test 3 with Explanations 165

Answer Key 183

Scoring Worksheet 183

Answers and Explanations 184

Chapter 9 Practice Test 4 with Explanations 191

Answer Key 209

Scoring Worksheet 209

Answers and Explanations 210

PART IV The ACT Science Test 219

Chapter 10 Format and Scoring 221

Format 221

Scoring 222

What’s Next? 223

Chapter 11 ACT Science Diagnostic Test 225

Answers and Explanations 238

Chapter 12 Strategies and Techniques 241

Prioritize 241

Apply Logic and Common Sense 242

Be “Trendy” 242

Ignore “Sciency” Language 242

Read the Questions Carefully 242

Predict Answers 243

The **Scientific Method** 243

Practice Questions 244

Answers and Explanations 250

What’s Next? 252

PART V Practice Tests 253

Chapter 13 Practice Test 1 with Explanations 255

Answers and Explanations 270

Chapter 14 Practice Test 2 with Explanations 273

Answers and Explanations 287

Chapter 15 Practice Test 3 with Explanations 291

Answers and Explanations 305

Chapter 16 Practice Test 4 with Explanations 309

Answers and Explanations 324

PART VI Appendixes 327

Appendix A Glossary of Mathematics Terms and Formulas 329

Appendix B Glossary of Scientific Terms 353

Appendix C Quick Review Sheet 359

General Test-Taking Strategies 359

Math Concepts and Strategies 360

Science Concepts and Strategies 361

Appendix D Additional Resources 363

ACT, Inc. 363

Textbooks and Human Resources 363