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Christopher Monahan - The Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English!

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Christopher Monahan The Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English!
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Whether you need help solving equations or determining the slope of a line, this guide gives you the tools you need to find your answers! Beginning with the basics, you will learn and practice all the skills needed to enhance your algebra expertise.
This comprehensive guide covers all the key concepts, including:
  • Variables and expressions
  • Linear equations and inequalities
  • Monomials and polynomials
  • Exponents
  • Rational expressions
  • The Pythagorean theorem
  • Area and perimeter
  • Graphs and charts
Inside youll find hundreds of examples to illustrate the basics and plenty of exercises to ensure mastery of these fundamentals. No matter if youre a student looking for a companion to your textbook, or a curious learner whos been away from the classroom too long, this will be your indispensable algebra primer.

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THE

GUIDE TO ALGEBRA Dear Reader I first heard the joke Q Define aftermath A - photo 1

GUIDE TO
ALGEBRA

Dear Reader,

I first heard the joke Q: Define aftermath. A: Algebra. very early in my teaching career, when the only people who studied elementary algebra were the college-bound students, and the only ones likely to take intermediate algebra were those who were headed toward physics, engineering, or mathematics.

The times have changed. Since the introduction of the scientific calculator, the personal computer, and the graphing calculator, the changes in educational expectations have become much more intense. The PC did not quite live up to its claim that users would have more free time. Instead, the amount of data that was available to the general public grew exponentially. Employers expected that more of their employees would access and analyze the data. With this increase in expectations came a significant increase in the number of students taking more than elementary algebra.

You will find that this book uses the graphing calculator with some regularity. This text also contains traditional symbol manipulation, because these skills are the building blocks for more advanced topics.

I hope that this book helps you better understand some of these basic principles of algebra and that you enjoy working through the material.

Chris Monahan

Welcome to the

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series!

These handy, accessible books give you all you need to tackle a difficult project, gain a new hobby, comprehend a fascinating topic, prepare for an exam, or even brush up on something you learned back in school but have since forgotten.

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PUBLISHER Karen Cooper
DIRECTOR OF ACQUISITIONS AND INNOVATION Paula Munier
MANAGING EDITOR, EVERYTHING SERIES Lisa Laing
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Visit the entire Everything series at www.everything.com

THE

The Everything Guide to Algebra A Step-by-Step Guide to the Basics of Algebra - in Plain English - image 4

GUIDE TO
ALGEBRA

A step-by-step guide to the basics
of algebrain plain English!

Christopher Monahan

Former President, Association of Mathematics Teachers of New York State

The Everything Guide to Algebra A Step-by-Step Guide to the Basics of Algebra - in Plain English - image 5

To my family
dht, kem-s, rmm-s, kmm, art, bht, sast, and crt

Copyright 2011 by F+W Media, Inc. All rights reserved.
This book, or parts thereof, may not be reproduced
in any form without permission from the publisher; exceptions
are made for brief excerpts used in published reviews.

An Everything Series Book.
Everything and everything.com are registered trademarks of F+W Media, Inc.

Published by Adams Media, a division of F+W Media, Inc.
57 Littlefield Street, Avon, MA 02322 U.S.A.
www.adamsmedia.com

ISBN 10: 1-4405-0458-X
ISBN 13: 978-1-4405-0458-7
eISBN 10: 1-4405-0459-8
eISBN 13: 978-1-4405-0459-4

Printed in the United States of America.

10 9 8 7 6 5 4 3 2 1

Library of Congress Cataloging-in-Publication Data
is available from the publisher.

This publication is designed to provide accurate and authoritative information with regard to the subject matter covered. It is sold with the understanding that the publisher is not engaged in rendering legal, accounting, or other professional advice. If legal advice or other expert assistance is required, the services of a competent professional person should be sought.

From a Declaration of Principles jointly adopted by a Committee of the
American Bar Association and a Committee of Publishers and Associations

Many of the designations used by manufacturers and sellers to distinguish their products are claimed as trademarks. Where those designations appear in this book and Adams Media was aware of a trademark claim, the designations have been printed with initial capital letters.

This book is available at quantity discounts for bulk purchases.
For information, please call 1-800-289-0963.

Contents
Acknowledgments

The material and examples used in this book are drawn from the interaction with the thousands of students who sat in my classes every day for more than thirty years. I thank you for all you taught me about teaching, and I hope this book makes you proud.

Thanks go to Dave Bock, who put me in contact with my agent, Grace Freedson. I also must thank Lisa Laing for her expertise in editing this text and Matt LeBlanc for his advice on the graphics. I especially want to thank my wife Diane. Without her support and encouragement, this book would not have been written.

Top 10 Reasons WhyAnd How
You Should Study Algebra

Mathematicians Are The Original Texters. There Really Is No Difference Between Using Statements Like Lol And Bff To Save Space And Using x For The Number That Is Unknown. DonT Let The Use Of Symbols Scare You.

Mathematics Is Not As Rigid As People Think. There Are Many Ways To Solve Problems. Algebraic, Graphical, And Tabular Approaches Are Often Equally Good Options For Getting To The Answer.

Algebra Has Many Applications Outside Of The Mathematics Classroom.

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