ACT Computer-Based Testing xi

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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 2 / 4

vi CONTENTS 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 3 / 4

CONTENTS vii 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

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