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500 ACT Math Questions to Know by Test Day PDF

209 Pages·2013·6.907 MB·English
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McGraw-Hill’s 500 ACT Math Questions to know by test day 00-FM.indd 1 09/09/13 10:09 AM Also in McGraw-Hill’s 500 Questions Series McGraw-Hill’s 500 ACT English and Reading Questions to Know by Test Day McGraw-Hill’s 500 ACT Science Questions to Know by Test Day McGraw-Hill’s McGraw-Hill’s 500 American Government Questions: Ace Your College Exams McGraw-Hill’s 500 College Algebra and Trigonometry Questions: Ace Your College Exams McGraw-Hill’s 500 College Biology Questions: Ace Your College Exams McGraw-Hill’s 500 College Calculus Questions: Ace Your College Exams McGraw-Hill’s 500 College Chemistry Questions: Ace Your College Exams McGraw-Hill’s 500 College Physics Questions: Ace Your College Exams McGraw-Hill’s 500 Differential Equations Questions: Ace Your College Exams McGraw-Hill’s 500 European History Questions: Ace Your College Exams McGraw-Hill’s 500 French Questions: Ace Your College Exams McGraw-Hill’s 500 Linear Algebra Questions: Ace Your College Exams McGraw-Hill’s 500 Macroeconomics Questions: Ace Your College Exams McGraw-Hill’s 500 Microeconomics Questions: Ace Your College Exams McGraw-Hill’s 500 Organic Chemistry Questions: Ace Your College Exams McGraw-Hill’s 500 Philosophy Questions: Ace Your College Exams McGraw-Hill’s 500 Physical Chemistry Questions: Ace Your College Exams McGraw-Hill’s 500 Precalculus Questions: Ace Your College Exams McGraw-Hill’s 500 Psychology Questions: Ace Your College Exams McGraw-Hill’s 500 SAT Critical Reading Questions to Know by Test Day McGraw-Hill’s 500 SAT Math Questions to Know by Test Day McGraw-Hill’s 500 Spanish Questions: Ace Your College Exams McGraw-Hill’s 500 Statistics Questions: Ace Your College Exams McGraw-Hill’s 500 U.S. History Questions, Volume 1: Ace Your College Exams McGraw-Hill’s 500 U.S. History Questions, Volume 2: Ace Your College Exams McGraw-Hill’s 500 World History Questions, Volume 1: Ace Your College Exams McGraw-Hill’s 500 World History Questions, Volume 2: Ace Your College Exams McGraw-Hill’s 500 MCAT Biology Questions to Know by Test Day McGraw-Hill’s 500 MCAT General Chemistry Questions to Know by Test Day McGraw-Hill’s 500 MCAT Organic Chemistry Questions to Know by Test Day McGraw-Hill’s 500 MCAT Physics Questions to Know by Test Day 00-FM.indd 2 09/09/13 10:09 AM McGraw-Hill’s 500 ACT Math Questions to know by test day Jerimi Ann Walker New York Chicago San Francisco Athens London Madrid Mexico City Milan New Delhi Singapore Sydney Toronto 00-FM.indd 3 09/09/13 10:09 AM Jerimi Ann Walker is an assistant professor of mathematics at Moraine Valley Community College and a regular contributor to mathbootcamps.com. Copyright © 2014 by McGraw-Hill Education. 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: 978-0-07-182018-9 MHID: 0-07-182018-3 eBook conversion by Cenveo® Publisher Services Version 1.0 The material in this eBook also appears in the print version of this title: ISBN: 978-0-07-182017-2, MHID: 0-07-182017-5. 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. 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. Information has been obtained by McGraw-Hill Education from sources believed to be reliable. However, because of the possibility of human or mechanical error by our sources, McGraw-Hill Education, or others, McGraw-Hill Education does not guarantee the accuracy, adequacy, or completeness of any information and is not responsible for any errors or omissions or the results obtained from the use of such information. ACT is a registered trademark of ACT, Inc., which was not involved in the production of, and does not endorse, this product. Interior illustrations by Cenveo 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 Introduction vii Chapter 1 Numbers 1 Questions 1–71 Chapter 2 Algebra 21 Questions 72–142 Chapter 3 Probability, Statistics, and Sequences 39 Questions 143–213 Chapter 4 Coordinate Geometry 61 Questions 214–285 Chapter 5 Geometry 87 Questions 286–358 Chapter 6 Proportions 115 Questions 359–428 Chapter 7 Functions 137 Questions 429–500 Answers 159 ❮ v 00-FM.indd 5 09/09/13 10:09 AM This page has been intentionally left blank 00-FM.indd 6 09/09/13 10:09 AM INTRODUCTION Congratulations! You’ve taken a big step toward ACT success by purchasing McGraw-Hill’s 500 ACT Math Questions to Know by Test Day. We are here to help you take the next step and score high on your ACT exam so you can get into the college or university of your choice! Th is book gives you 500 ACT-style multiple-choice questions that cover all the most essential math material. Each question is clearly explained in the answer key. Th e questions will give you valuable independent practice to supplement your regular textbook and the ground you have already covered in your math class. Th is book and the others in the series were written by expert teachers who know the ACT inside and out and can identify crucial information as well as the kinds of questions that are most likely to appear on the exam. You might be the kind of student who needs to study extra a few weeks before the exam for a fi nal review. Or you might be the kind of student who puts off preparing until the last minute before the exam. No matter what your preparation style, you will benefi t from reviewing these 500 questions, which closely parallel the content, format, and degree of diffi culty of the math questions on the actual ACT exam. Th ese questions and the explanations in the answer key are the ideal last-minute study tool for those fi nal weeks before the test. If you practice with all the questions and answers in this book, we are certain you will build the skills and confi dence needed to excel on the ACT. Good luck! —Th e Editors of McGraw -Hill Education ❮ vii 00-FM.indd 7 09/09/13 10:09 AM This page has been intentionally left blank 00-FM.indd 8 09/09/13 10:09 AM 1 Chapter Numbers 1. What is the greatest common factor of 30, 90, and 130? (A) 2 (B) 3 (C) 5 (D) 10 (E) 30 2. Which of the following is an irrational number? 100 (A) 169 1 (B) 4 (C) 16 (D) 81 (E) 99 3. Which of the following must be true whenever a, b, and c are integers such that a < 0 and b > c > 0? (A) a - c > 0 (B) c - b < 0 (C) a + c > 0 (D) -a - c < 0 (E) a + b > 0 ❮ 1 01-ch01.indd 1 13/09/13 5:25 PM

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