Bob Miller - Math for the ACT 2nd Ed., Bob Millers

Research & Education Association 61 Ethel Road West Piscataway, New Jersey 08854 E-mail: BOB MILLERSMath for the ACT, 2nd Edition Published 2016 Copyright 2013 by Research & Education Association, Inc. Prior edition copyright 2009 by Research & Education Association, Inc. All rights reserved. No part of this book may be reproduced in any form without permission of the publisher. Printed in the United States of America Library of Congress Control Number 2012936640 ISBN-13: 978-0-7386-1096-2 ISBN-10:0-7386-1096-8 LIMIT OF LIABILITY/DISCLAIMER OF WARRANTY: Publication of this work is for the purpose of test preparation and related use and subjects as set forth herein. While every effort has been made to achieve a work of high quality, neither Research & Education Association, Inc., nor the authors and other contributors of this work guarantee the accuracy or completeness of or assume any liability in connection with the information and opinions contained herein and in REAs software and/or online materials.

REA and the authors and other contributors shall in no event be liable for any personal injury, property or other damages of any nature whatsoever, whether special, indirect, consequential or compensatory, directly or indirectly resulting from the publication, use or reliance upon this work. All trademarks cited in this publication are the property of their respective owners. ACT is a registered trademark of ACT, Inc., which does not endorse this book.

I have many people to thank. I thank my wife, Marlene, who makes life worth living, who is truly the wind under my wings. I thank the rest of my family: children Sheryl and Eric and their spouses Glenn and Wanda (who are also like my children); grandchildren Kira, Evan, Sean, Sarah, Ethan and Noah; my brother Jerry; and my parents, Cele and Lee; and my in-law parents, Edith and Siebeth.

I thank Larry Kling and Michael Reynolds and Mel Friedman for making this book possible. I thank Martin Levine for making my whole writing career possible. I have been negligent in thanking my great math teachers of the past. I thank Mr. Douglas Heagle, Mr. Alexander Lasaka, Mr.

Joseph Joerg, and Ms. Arloeen Griswold, the best math teacher I ever had, of George W. Hewlett High School; Ms. Helen Bowker of Woodmere Junior High; and Professor Pinchus Mendelssohn and Professor George Bachman of Polytechnic University. The death of Professor Bachman was an extraordinary loss to our country, which produces too few advanced degrees in math. in math, and even more would receive their M.S. in math. in math.

In addition, he wrote four books and numerous papers on subjects that had never been written about or had been written so poorly that nobody could understand the material. His teachings and writings were clear and memorable. As usual, the last three thanks go to three terrific people: a great friend, Gary Pitkofsky; another terrific friend and fellow lecturer, David Schwinger; and my cousin, Keith Robin Ellis, the sharer of our dreams.

To my wife, Marlene. I dedicate this book and everything else I ever do to you. I received my B.S. in the Unified Honors Program sponsored by the Ford Foundation and my M.S. in math from Polytechnic Institute of NYU. in math from Polytechnic Institute of NYU.

After teaching my first class, as a substitute for a full professor, I heard one student say to another upon leaving the classroom, At least we have someone who can teach the stuff. I was hooked forever on teaching. Since then, I have taught at C.U.N.Y., Westfield State College, Rutgers, and Poly. No matter how I feel, I always feel a lot better when I teach. I always feel great when students tell me they used to hate math or couldnt do math and now they like it more and can do it better. My main blessing is my family.

I have a fantastic wife in Marlene. My kids are wonderful: daughter Sheryl, son Eric, son-in-law Glenn, and daughter-in-law Wanda. My grandchildren are terrific: Kira, Evan, Sean, Sarah, Ethan and Noah. My hobbies are golf, bowling, bridge, crossword puzzles, and Sudoku. My ultimate goals are to write a book to help parents teach their kids math, a high school text that will advance our kids math abilities, and a calculus text students can actually understand. To me, teaching is always a great joy.

I hope that I can give some of that joy to you. I do know this book will help you get the score you need to get into the college of your choice.

Bob Millers Math for the ACCUPLACER Bob Millers Math for the COMPASS Bob Millers Math for the GMAT Bob Millers Math for the GRE Bob Millers Math for the TABE Bob Millers Basic Math and Pre-Algebra for the Clueless, Second Edition Bob Millers Algebra for the Clueless, Second Edition Bob Millers Geometry for the Clueless, Second Edition Bob Millers Math SAT for the Clueless, Second Edition Bob Millers Pre-Calc with Trig for the Clueless, Third Edition Bob Millers High School Calc for the Clueless Bob Millers Calc 1 for the Clueless, Second Edition Bob Millers Calc 2 for the Clueless, Second Edition Bob Millers Calc 3 for the Clueless F ounded in 1959, Research & Education Association (REA) is dedicated to publishing the finest and most effective educational materialsincluding study guides and test prepsfor students of all ages. Today, REAs wide-ranging catalog is a leading resource for students, teachers, and other professionals. Visit www.rea.com to see a complete listing of all our titles. I n addition to our author, we would like to thank Larry B.

Kling, Vice President, Editorial, for his overall direction; Pam Weston, Publisher, for setting the quality standards for production integrity and managing the publication to completion; Michael Reynolds, Managing Editor, for project management; Mel Friedman, Lead Mathematics Editor, for editorial contributions; and Aquent Publishing Services, for typesetting this edition. Cover photo by Eric L. Miller.

C ongratulations!!!! You are about to enter the second part of your education, and for you, the ACT is the first step toward college. Ive written this book as if you were in front of me and I was teaching you personally. I teach some of the areas in greater detail than others because I have found many students have problems with these topics.

They include factoring, algebraic fractions, trig, and, yes, percentage problems. presents four sample practice tests, each of which contains 60 questionsthe same number of questions youll see on the actual ACT Math test. Carefully check your answers against my answer explanations so you can see your skills improve. If you want any topics explained more fully than this book presents, you might want to check one of my other books. If you want any questions explained or something added to the book, please send your question to REA along with your e-mail address, and Ill respond to you. E-mail me at .

Now, enjoy the book and learn!!