# Understanding Algebra

An online algebra text by James W. Brennan

## Book Contents

• The Real Number System
• Addition and Subtraction of Real Numbers
• Multiplication and Division
• Positive Integer Exponents
• Order of Operations
• Fractions
• Percents
• Decimals
• Properties of Real Numbers
• Chapter 2- Introduction to Algebra
• Algebraic Expressions
• Simplifying Algebraic Expressions
• Solutions of Algebraic Equations
• Multiplication Principle
• Using the Principles Together
• Chapter 3- Word Problems
• Problem Solving Strategies
• Words for Operations
• General Word Problems
• Chapter 4- Graphing and Straight Lines
• Rectangular Coordinates
• Graphing Functions
• Straight Lines
• Chapter 5- Systems of Linear Equations
• The Solutions of a System of Equations
• Substitution Method
• Chapter 6- Polynomials
• Polynomials
• Addition and Subtraction of Polynomials
• Multiplication of Polynomials
• Special Products of Binomials
• Factoring Polynomials
• Factoring a Quadratic Trinomial by Grouping
• Summary of Steps to Factor Quadratic Trinomials
• Chapter 7- Rational Expressions
• Rational Expressions
• Simplifying Rational Expressions
• Chapter 8- Exponents and Roots
• Exponents
• Roots
• Rationalizing the Denominator
• Solving by Square Roots
• Solving by Factoring
• Completing the Square
• The complete contents of this algebra textbook are available here online. This text is suitable for high-school Algebra I, preparing for the GED, a refresher for college students who need help preparing for college-level mathematics, or for anyone who wants to learn introductory algebra. I am especially pleased to help homeschoolers. I am paying for this website out of my own pocket, and I would like to be able to leave it up as long as people find it helpful. If you find it useful and you are able to help out by donating a few bucks, please click on the link above. The payment is processed by Amazon.com, so you can be confident that it is safe and secure. Thanks.

## News

You can now download the entire book as an Adobe Acrobat file formatted for printing. Click on the link at the upper-right to find out more.

## Extras

Graphing Applet (Java applet for exploring slope and intercepts of straight lines)

Prime Factorization Machine

Prime Number List