Beginning Algebra Workbook
by George M. Alexander
Table of Contents
Lesson #1 Integers and Symbols
Lesson #2 Variable Expressions
Lesson #3 Fraction Arithmetic
Lesson #4 Solving Linear Equations
Lesson #5 More on Solving Equations
Lesson #6 Solving Linear Inequalities
Lesson #7 Percents and Rates
Lesson #8 Exponents:
Lesson #9 Geometry: Angle Facts
Lesson #10 Geometric Figures
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.