501 Algebra Questions 2nd Edition - hchs.henryk12.net

1 501. Algebra Questions 501. Algebra Questions 2nd Edition . NEW YORK. Copyright 2006 LearningExpress, LLC. All rights reserved under International and Pan-American Copyright Conventions. Published in the United States by LearningExpress, LLC, New York. Library of Congress Cataloging-in-Publication Data: 501 Algebra Questions . 2nd ed. p. cm. Rev. ed. of: 501 Algebra Questions / [William Recco]. 1st ed. 2002. ISBN 1-57685-552-X. 1. Algebra Problems, exercises, etc. I. Recco, William. 501 Algebra Questions .

2 II. LearningExpress (Organization). III. Title: Five hundred one Algebra Questions . IV. Title: Five hundred and one Algebra Questions . 2006. 512 dc22. 2006040834. Printed in the United States of America 9 8 7 6 5 4 3 21. Second Edition ISBN 1-57685-552-X. For more information or to place an order, contact LearningExpress at: 55 Broadway 8th Floor New York, NY 10006. Or visit us at: The LearningExpress Skill Builder in Focus Writing Team is comprised of experts in test preparation, as well as educators and teachers who specialize in language arts and math.

3 LearningExpress Skill Builder in Focus Writing Team Brigit Dermott Freelance Writer English Tutor, New York Cares New York, New York Sandy Gade Project Editor LearningExpress New York, New York Kerry McLean Project Editor Math Tutor Shirley, New York William Recco Middle School Math Teacher, Grade 8. New York Shoreham/Wading River School District Math Tutor St. James, New York Colleen Schultz Middle School Math Teacher, Grade 8. Vestal Central School District Math Tutor Vestal, New York Contents Introduction ix 1 Working with Integers 1.

4 2 Working with Algebraic Expressions 12. 3 Combining Like Terms 24. 4 Solving Basic Equations 41. 5 Solving Multi-Step Equations 49. 6 Solving Equations with Variables on Both Sides of an Equation 58. 7 Using Formulas to Solve Equations 72. 8 Graphing Linear Equations 81. 9 Solving Inequalities 110. 10 Graphing Inequalities 119. 11 Graphing Systems of Linear Equations and Inequalities 142. 12 Solving Systems of Equations Algebraically 172. 13 Working with Exponents 186. Contents 14 Multiplying Polynomials 194.

5 15 Factoring Polynomials 206. 16 Using Factoring 215. 17 Solving Quadratic Equations 229. 18 simplifying Radicals 242. 19 Solving radical Equations 250. 20 Solving Equations with the Quadratic Formula 261. viii Introduction This book is designed to provide you with review and practice for Algebra success! It is not intended to teach common Algebra topics. Instead, it provides 501 problems so you can ex your muscles and practice a variety of mathe- matical and algebraic skills. 501 Algebra Questions is designed for many audi- ences.

6 It's for anyone who has ever taken a course in Algebra and needs to refresh and revive forgotten skills. It can be used to supplement current instruc- tion in a math class. Or, it can be used by teachers and tutors who need to rein- force student skills. If, at some point, you feel you need further explanation about some of the Algebra topics highlighted in this book, you can nd them in the LearningExpress publication Algebra Success in 20 Minutes a Day. How to Use This Book First, look at the table of contents to see the types of Algebra topics covered in this book.

7 The book is organized into 20 chapters with a variety of arithmetic, Algebra , and word problems. The structure follows a common sequence of con- cepts introduced in basic Algebra courses. You may want to follow the sequence, as each succeeding chapter builds on skills taught in previous chapters. But if 501 Algebra Questions your skills are just rusty, or if you are using this book to supplement topics you are currently learning, you may want to jump around from topic to topic. Chapters are arranged using the same method.

8 Each chapter has an introduction describing the mathematical concepts covered in the chapter. Second, there are helpful tips on how to practice the problems in each chapter. Last, you are pre- sented with a variety of problems that generally range from easier to more dif cult problems and their answer explanations. In many books, you are given one model problem and then asked to do many problems following that model. In this book, every problem has a complete step-by-step explanation for the solutions.

9 If you nd yourself getting stuck solving a problem, you can look at the answer explanation and use it to help you understand the problem-solving process. As you are solving problems, it is important to be as organized and sequential in your written steps as possible. The purpose of drills and practice is to make you pro- cient at solving problems. Like an athlete preparing for the next season or a musi- cian warming up for a concert, you become skillful with practice. If, after completing all the problems in a section, you feel that you need more practice, do the problems over.

10 It's not the answer that matters most it's the process and the reasoning skills that you want to master. You will probably want to have a calculator handy as you work through some of the sections. It's always a good idea to use it to check your calculations. If you have dif culty factoring numbers, the multiplication chart on the next page may help you. If you are unfamiliar with prime numbers, use the list on the next page so you won't waste time trying to factor numbers that can't be factored. And don't forget to keep lots of scrap paper on hand.