GMAT Foundations of Math (2020)

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MANHATTAN PrepGMAT Foundations of MathStrategy Guide SupplementThis supplemental guide provides in-depth and easy-to-followexplanations of the fundamental math skills necessary for a strongperformance on the GMAT.

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Table of ContentsGMAT Foundations of MathTitle PageCopyrightWelcome LetterHow to Access Your Online ResourcesYour Online ResourcesChapter 1: ArithmeticIn This ChapterArithmeticQuick-Start DefinitionsPEMDASCheck Your Skills Answers and ExplanationsChapter Review: Drill SetsChapter Review: Drill Sets Answers and ExplanationsChapter 2: DivisibilityIn This ChapterDivisibilityDivisibilityCheck Your Skills Answers and ExplanationsChapter Review: Drill SetsChapter Review: Drill Sets Answers and ExplanationsChapter 3: Exponents and RootsIn This ChapterExponents and RootsCheck Your Skills Answers and ExplanationsChapter Review: Drill SetsChapter Review: Drill Sets Answers and ExplanationsChapter 4: FractionsIn This ChapterFractionsCheck Your Skills Answers and ExplanationsChapter Review: Drill SetsChapter Review: Drill Sets Answers and Explanations

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Chapter 5: Fractions, Decimals, Percents, and RatiosIn This ChapterFractions, Decimals, Percents, and RatiosFour Ways to Express Parts of a WholeCheck Your Skills Answers and ExplanationsChapter Review: Drill SetsChapter Review: Drill Sets Answers and ExplanationsChapter 6: EquationsIn This ChapterEquationsSystems of EquationsCheck Your Skills Answers and ExplanationsChapter Review: Drill SetsChapter Review: Drill Sets: Answers and ExplanationsChapter 7: Quadratic EquationsIn This ChapterQuadratic EquationsMechanics of Quadratic EquationsOther Instances of QuadraticsCheck Your Skills Answers and ExplanationsChapter Review: Drill SetsChapter Review: Drill Sets Answers and ExplanationsChapter 8: Beyond Equations: Inequalities and Absolute ValueIn This ChapterBeyond Equations: Inequalities and Absolute ValueCheck Your Skills Answers and ExplanationsChapter Review: Drill SetsChapter Review: Drill Sets Answers and ExplanationsChapter 9: Word ProblemsIn This ChapterWord ProblemsSolve Word Problems: Follow Four Steps To Turn Words IntoMathCheck Your Skills Answers and ExplanationsChapter Review: Drill SetsChapter Review: Drill Sets: Answers and ExplanationsChapter 10: Geometry

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In This ChapterGeometryCirclesTrianglesQuadrilateralsGeometry: “Word” Problems with PicturesCoordinate Plane—Position Is a Pair of NumbersCheck Your Skills Answers and ExplanationsChapter Review: Drill SetsChapter Review: Drill Sets Answers and ExplanationsAbout This BookGlossaryGo Beyond BooksPrep Made Personalmba Mission

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GMAT® Foundations of Math, Sixth Edition10-digit International Standard Book Number: 1-5062-0764-213-digit International Standard Book Number: 978-1-5062-0764-3eISBN: 978-1-5062-1245-6Copyright © 2016 MG Prep, Inc.ALL RIGHTS RESERVED. No part of this work may be reproduced or used inany form or by any means—graphic, electronic, or mechanical, includingphotocopying, recording, taping, Web distribution—without the priorwritten permission of the publisher, MG Prep Inc.Note:GMAT,Graduate Management Admission Test,Graduate ManagementAdmission Council, andGMACare all registered trademarks of the GraduateManagement Admission Council, which neither sponsors nor is affiliated inany way with this product.Layout Design: Derek FrankhouserCover Design: Andrew Au and Frank CallaghanCover Photography: Alli Ugosoli

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October 4, 2016Dear Student,Thank you for picking up a copy ofGMAT Foundations of Math. I hope thisbook provides just the guidance you need to get the most out of yourstudies.At Manhattan Prep, we continually aspire to provide the best instructorsand study resources possible. We hope that you will find our commitmentmanifest in this book. If you have any questions or comments, please emailus at gmat@manhattanprep.com. Our Student Services and curriculumteams are very interested to hear what you have to say.Many people were involved in the creation of this book. First and foremostis Zeke Vanderhoek, the founder of Manhattan Prep. Zeke was a lone tutorin New York when he started the company in 2000. Now, more than adecade and a half later, the company serves the needs of thousands ofstudents each year.Our books are based on the continuing experiences of our instructors andstudents. Stacey Koprince led the rewriting ofGMAT Foundations of Math,resulting in this new edition. Numerous other instructors have madecontributions to this title over the years. For this edition, I’d like to send

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particular thanks to Whitney Garner, Andrea Pawliczek, Emily MeredithSledge, and Ryan Starr.Our colleagues at Kaplan Publishing managed the production process andmade sure all the moving pieces came together at just the right time.At Manhattan Prep, we are proud of this book and of the people who haveworked hard to bring it to you.Thanks again for trusting us to help you prepare for the GMAT. Best of luck!Sincerely,Chris RyanVice President of AcademicsManhattan Prep

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How to Access Your Online ResourcesIF YOU ARE A REGISTERED MANHATTAN PREPSTUDENTand have received this book as part of your course materials, you haveautomatic accesstoallof our online resources. This includes all practiceexams, Question Banks, and online updates to this book. To access theseresources, follow the instructions in the Welcome Guide provided to you atthe start of your program.

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IF YOU PURCHASED THIS BOOK FROMMANHATTANPREP.COM OR AT ONE OF OUR CENTERS1.Go to: www.manhattanprep.com/gmat/studentcenter2.Log in with the username and password you chose when setting up youraccount.

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IF YOU PURCHASED THIS BOOK AT A RETAILLOCATION1.Create an account with Manhattan Prep at this website:www.manhattanprep.com/gmat/register2.Follow the instructions on the screen.Your one year of online access begins on the day that you register yourbook at the above URL.You only need to register your product once at the above URL. To use youronline resources any time after you have completed the registrationprocess, log in at the following URL:www.manhattanprep.com/gmat/studentcenterPlease note that online access is nontransferable. This means that onlynewandunregisteredcopies of the book will grant you online access.Previously used books will not provide any online resources.

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IF YOU PURCHASED AN EBOOK VERSION OF THISBOOK1.Create an account with Manhattan Prep at this website:www.manhattanprep.com/gmat/register2.Email a copy of your purchase receipt to gmat@manhattanprep.com toactivate your resources. Please be sure to use the same email address tocreate an account that you used to purchase the eBook.Emailgmat@manhattanprep.comor call800-576-4628with anyquestions.Please refer to the following page for a description of the online resourcesthat come with this book.

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Your Online ResourcesYOUR PURCHASE INCLUDES ONLINE ACCESS TO THEFOLLOWING:GMAT Foundations of Math Question BankThis bank consists of extra practice questions (with detailed explanations)that test the variety of foundational math concepts and skills covered inthis book. These questions provide you with extra practice beyond theproblem sets contained in this book. You may use our online timer topractice your pacing by setting time limits for each question in the bank.GMAT Math Readiness AssessmentsKnow when you're ready to move on to GMAT Math. These four onlineassessments—designed to be taken during and at the end of yourfundamental math prep—test your readiness for higher-level GMAT Math.5 Free Interact™ LessonsInteract™ is a comprehensive self-study program that is fun, intuitive, anddirected by you. Each interactive video lesson is taught by an expertManhattan Prep instructor and includes dozens of individual branchingpoints. The choices you make determine the content you see. This bookcomes with access to the first five lessons of GMAT Interact. Lessons are

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available on your computer or iPad so you can prep where you are, whenyou want. For more information on the full version of this program, visitwww.manhattanprep.com/gmat/interact.Online Updates to Content in This BookThe content presented in this book is updated periodically to ensure that itreflects the GMAT’s most current trends. You may view all updates,including any known errors or changes, upon registering for online access.The above resources can be found in your Student Center atmanhattanprep.com/gmat/studentcenter.

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