David A. Santos - Algebra Essentials

ALGEBRAESSENTIALSLICENSE, DISCLAIMER OF LIABILITY, AND LIMITED WARRANTY By purchasing or using this book (the Work), you agree that this license grants permission to use the contents contained herein, but does not give you the right of ownership to any of the textual content in the book or ownership to any of the information or products contained in it. This license does not permit uploading of the Work onto the Internet or on a network (of any kind) without the written consent of the Publisher. Duplication or dissemination of any text, code, simulations, images, etc. contained herein is limited to and subject to licensing terms for the respective products, and permission must be obtained from the Publisher or the owner of the content, etc., in order to reproduce or network any portion of the textual material (in any media) that is contained in the Work. MERCURY LEARNING AND INFORMATION (MLI or the Publisher) and anyone involved in the creation, writing, or production of the companion disc, accompanying algorithms, code, or computer programs (the software), and any accompanying Web site or software of the Work, cannot and do not warrant the performance or results that might be obtained by using the contents of the Work. The author, developers, and the Publisher have used their best efforts to insure the accuracy and functionality of the textual material and/or programs contained in this package; we, however, make no warranty of any kind, express or implied, regarding the performance of these contents or programs.

The Work is sold as is without warranty (except for defective materials used in manufacturing the book or due to faulty workmanship). The author, developers, and the publisher of any accompanying content, and anyone involved in the composition, production, and manufacturing of this work will not be liable for damages of any kind arising out of the use of (or the inability to use) the algorithms, source code, computer programs, or textual material contained in this publication. This includes, but is not limited to, loss of revenue or profit, or other incidental, physical, or consequential damages arising out of the use of this Work. The sole remedy in the event of a claim of any kind is expressly limited to replacement of the book, and only at the discretion of the Publisher. The use of implied warranty and certain exclusions vary from state to state, and might not apply to the purchaser of this product. Files on the companion disc are also available by writing to the publisher at .ALGEBRAESSENTIALSDavid A.

SantosOlgha B. Davis Copyright 2016 by MERCURY LEARNING AND INFORMATION LLC. All rights reserved. This publication, portions of it, or any accompanying software may not be reproduced in any way, stored in a retrieval system of any type, or transmitted by any means, media, electronic display or mechanical display, including, but not limited to, photocopy, recording, Internet postings, or scanning, without prior permission in writing from the publisher. Publisher: David Pallai
MERCURY LEARNING AND INFORMATION
22841 QUICKSILVER DRIVE
Dulles, VA 20166
www.merclearning.com
(800) 232-0223 David A. Santos and Olgha B. Algebra Essentials.
ISBN: 978-1-937585-22-8 The publisher recognizes and respects all marks used by companies, manufacturers, and developers as a means to distinguish their products. Algebra Essentials.
ISBN: 978-1-937585-22-8 The publisher recognizes and respects all marks used by companies, manufacturers, and developers as a means to distinguish their products.

All brand names and product names mentioned in this book are trademarks or service marks of their respective companies. Any omission or misuse (of any kind) of service marks or trademarks, etc. is not an attempt to infringe on the property of others. Library of Congress Control Number: 2015934531
161718321 This book is printed on acid-free paper. Our titles are available for adoption, license, or bulk purchase by institutions, corporations, etc.
For additional information, please contact the Customer Service Dept. at 800-232-0223(toll free).

All of our titles are available in digital format at .

Welcome to Algebra Essentials! This book is designed for instructors to introduce algebra to students in approachable and meaningful ways. Algebra Essentials is intended to increase your knowledge and skills needed to succeed in collegiate mathematics courses. The eight chapters in this book present many examples and exerciseswith complete solutionsthat can be used to practice algebraic concepts. You will receive the most benefit from this book if you use all of the components included. For self-correcting exercises, figures from the text (including 4-color), theorem proofs, and additional information, check out the companion disc.

Additional instructor supplements for use as a textbook are available from the publisher. Exercises This self-study text contains hundreds of exercises to supplement the numerous examples and aid in the drill and mastery of the concepts: 1)Supplementary Exercises (End of each section) These are found at the end of each section of every chapter (e.g., after , etc.) Answers to ALL of these exercises may be found in at the end of the book. 2)Review Exercises (End of the book) Over 100 of these exercises (included to reinforce or review concepts) may be found in . Answers to the odd-numbered Review Exercises may be found in Appendix C.3)Self-correcting Mini-Quizzes The companion disc in the back of the book includes seven, multiple-choice, self-correcting mini-quizzes on arithmetic, equations, factoring, inequalities, like-terms, exponents, and word problems. Companion files on the disc are also available by writing to the publisher at

Many people have contributed to this work in very significant ways. First, we would like to thank Margaret Hitczenko, John Majewicz, and Jos Mason for their numerous suggestions and ideas. We also would like to thank Iraj Kalantari, Lasse Skov, and Don Stalk for their editorial suggestions.

It is with great humility and gratitude that Olgha Davis thanks Tuere Bowles, Christine Grants, David Keim, and Roberta Mahatha, who were instrumental in providing support and insightful guidance throughout this project. And last, but far from least, Olgha Davis could not have completed this book without her two beautiful daughters, Dalya and Andreya Davis. David A. Santos
Olgha B. Davis

T his chapter is optional.

---

Mathematicians like to boast about the multiple applications of their discipline to real-world problems, as commonly found in science, business, engineering, etc.

---

Mathematicians like to boast about the multiple applications of their discipline to real-world problems, as commonly found in science, business, engineering, etc.