Beginning Algebra Workbook

by George M. Alexander

UW Colleges

1999

Table of Contents

Introduction

Lesson #1 Integers and Symbols

Lesson #2 Variable Expressions

Lesson #3 Fraction Arithmetic

Lesson #4 Solving Linear Equations

Lesson #5 More on Solving Equations

Review for Lessons 1 through 5

Exam 1

Lesson #6 Solving Linear Inequalities

Lesson #7 Percents and Rates

Lesson #8 Exponents:
Rules and Order of Operations

Lesson #9 Geometry: Angle Facts

Lesson #10 Geometric Figures

Review for Lessons 6 through 10

Exam 2

Lesson #11 Polynomials

Lesson #12 Factoring (GCF and Grouping)  

Lesson #13 Factoring (Trinomials)

Lesson #14 Graphing Lines

Appendix A Answers to All Lesson Exercises

Appendix B Using Your Calculator

Appendix C Post Test

 

This workbook is written as an aid to learn the skills necessary for success in college level Algebra classes. You may use a single lesson to help review a particular topic, or you may want to work your way through the entire workbook. Topics presented here are at the level of Math 091 (Elementary Algebra), as taught in the UW Colleges, but the workbook does not include all topics that would be covered in the course. For the best preparation for Intermediate Algebra (Math 105), you should take and complete the Math 091 course (or one of its equivalents).

Whether you are reviewing previously learned material or studying Algebra for the first time, this material should help you build a mathematical foundation for any further studies. The concepts presented here are not intended to cover all possible course topics, but rather only to strengthen foundations. You should strive for a mastery of all topics in this workbook, for later successes will depend on these basic skills. By 'mastery', I expect that you can not only do most of the exercises correctly, but also that you can recognize mistakes in your own work.

The single most important factor for success will be your own personal effort. Math is not a mystical subject; rather it is based on common sense. With practice and guidance, you should soon be able to judge your own work for correctness. Indeed, one of the best signs of mathematical mastery is the ability to find and correct your own errors.

A final few words of advice will get you off to a good start in learning Algebra: Take responsibility for your own learning by working carefully through the entire workbook. Ask questions whenever you do not understand a concept. Attend classes regularly. Remember, at all times, that learning is an active process that requires your participation.

Last Update: 1/22/2004.