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Conquering ACT Math and Science PDF

620 Pages·2020·21.64 MB·english
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Copyright © 2020 by McGraw Hill. All rights reserved. Except as permitted under the United States Copyright Act of 1976, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of the publisher. ISBN: 978-1-26-046260-9 MHID:      1-26-046260-9 The material in this eBook also appears in the print version of this title: ISBN: 978-1-26-046259-3, MHID: 1-26-046259-5. eBook conversion by codeMantra Version 1.0 All trademarks are trademarks of their respective owners. Rather than put a trademark symbol after every occurrence of a trademarked name, we use names in an editorial fashion only, and to the benefit of the trademark owner, with no intention of infringement of the trademark. Where such designations appear in this book, they have been printed with initial caps. McGraw-Hill Education eBooks are available at special quantity discounts to use as premiums and sales promotions or for use in corporate training programs. To contact a representative, please visit the Contact Us page at www.mhprofessional.com. ACT is a registered trademark of ACT, Inc., which was not involved in the production of, and does not endorse, this product. TERMS OF USE This is a copyrighted work and McGraw-Hill Education and its licensors reserve all rights in and to the work. Use of this work is subject to these terms. Except as permitted under the Copyright Act of 1976 and the right to store and retrieve one copy of the work, you may not decompile, disassemble, reverse engineer, reproduce, modify, create derivative works based upon, transmit, distribute, disseminate, sell, publish or sublicense the work or any part of it without McGraw-Hill Education’s prior consent. You may use the work for your own noncommercial and personal use; any other use of the work is strictly prohibited. Your right to use the work may be terminated if you fail to comply with these terms. THE WORK IS PROVIDED “AS IS.” McGRAW-HILL EDUCATION AND ITS LICENSORS MAKE NO GUARANTEES OR WARRANTIES AS TO THE ACCURACY, ADEQUACY OR COMPLETENESS OF OR RESULTS TO BE OBTAINED FROM USING THE WORK, INCLUDING ANY INFORMATION THAT CAN BE ACCESSED THROUGH THE WORK VIA HYPERLINK OR OTHERWISE, AND EXPRESSLY DISCLAIM ANY WARRANTY, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO IMPLIED WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE. McGraw-Hill Education and its licensors do not warrant or guarantee that the functions contained in the work will meet your requirements or that its operation will be uninterrupted or error free. 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)

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