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Neither McGraw-Hill Education nor its licensors shall be liable to you or anyone else for any inaccuracy, error or omission, regardless of cause, in the work or for any damages resulting therefrom. McGraw-Hill Education has no responsibility for the content of any information accessed through the work. Under no circumstances shall McGraw-Hill Education and/or its licensors be liable for any indirect, incidental, special, punitive, consequential or similar damages that result from the use of or inability to use the work, even if any of them has been advised of the possibility of such damages. This limitation of liability shall apply to any claim or cause whatsoever whether such claim or cause arises in contract, tort or otherwise. CONTENTS About the Authors Exciting ACT Updates! Introduction About the ACT Structure of the ACT How to Use This Book General Test-Taking Information and Strategies What to Do on Test Day What’s Next? PART I    The ACT Mathematics Test Chapter 1   Format and Scoring Format Scoring What’s Next? Chapter 2   ACT Mathematics Diagnostic Test Chapter 3   Strategies and Techniques Apply Logic Draw Pictures Answer the Question That You Are Asked Don’t Quit Early Let the Answer Choices Guide You Substitute Numbers for the Variables Read the Questions Carefully What’s Next? PART II   ACT Mathematics Test Content Areas Chapter 4   Content Areas Tested Concepts What’s Next? Chapter 5   Applying Strategies, Building Skills Pre-Algebra Elementary Algebra Intermediate Algebra Coordinate Geometry Plane Geometry Trigonometry Answers and Explanations What’s Next? PART III  Practice Tests Chapter 6   Practice Test 1 with Explanations Chapter 7   Practice Test 2 with Explanations Chapter 8   Practice Test 3 with Explanations Chapter 9   Practice Test 4 with Explanations PART IV  The ACT Science Test Chapter 10   Format and Scoring Format Scoring What’s Next? Chapter 11   ACT Science Diagnostic Test Chapter 12   Strategies and Techniques Prioritize Apply Logic and Common Sense Be “Trendy” Ignore “Sciency” Language Read the Questions Carefully Predict Answers The Scientific Method Practice Questions Answers and Explanations What’s Next? PART V   Practice Tests Chapter 13   Practice Test 1 with Explanations Chapter 14   Practice Test 2 with Explanations Chapter 15   Practice Test 3 with Explanations Chapter 16   Practice Test 4 with Explanations PART VI  Appendices Appendix A   Glossary of Mathematics Terms and Formulas Appendix B   Glossary of Scientific Terms Appendix C   Quick Review Sheet General Test-Taking Strategies Math Concepts and Strategies Science Concepts and Strategies Appendix D   Additional Resources ACT, Inc. Textbooks and Human Resources ABOUT THE AUTHORS Steven W. Dulan has been helping students prepare for success on the ACT and other standardized exams since 1989. He attended the Thomas M. Cooley Law School on a full honors scholarship after achieving a 99th percentile score on his Law School Admission Test (LSAT). In fact, Steve scored in the 99th percentile on every standardized test he has ever taken. While attending law school, Steve continued to teach standardized test prep classes (including ACT, SAT, PSAT, GRE, GMAT, and LSAT) an average of thirty hours each week, and tutored some of his fellow law students in a variety of subjects and in essay exam-writing techniques. Since 1997, Steve has served as president of Advantage Education®, a company dedicated to providing unparalleled test preparation. Thousands of students have benefited from his instruction, coaching, and admissions consulting and have gone on to their colleges of choice. Steve’s students have gained admission to some of the most prestigious institutions in the world, and received many scholarships of their own. A few of them even beat his ACT score! Amy Dulan put her analytical skills and nurturing personality to work as an ACT coach after receiving a psychology degree from Michigan State University in 1991. During forays into the corporate world over the next several years, Amy continued to tutor part time, eventually helping to found Advantage Education® in 1997. Since then, Amy has worked with thousands of high school students in both private and classroom settings, helping them to maximize their ACT scores. Her sense of humor and down- to-earth style allow Amy to connect with her students and make learning fun. The techniques included in this book are the result of Steve’s and Amy’s experiences with students at all ability and motivation levels over many years. “After working with Steve I was able to crack the ACT and got a 36 composite score! His help made all the difference in getting those last few points for a perfect score!” C. S. (Student) “Amy, thanks to you my daughter was able to get a 35 composite score on her ACT with a perfect 36 on the English test! Thank you for your time and commitment to her success.” J. Q. (Parent)