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Understanding Algebra by James W. Brennan




Understanding Algebra - Table of Contents

1. The Number System of Arithmetic
2. Introduction to Algebra
3. Word Problems
4. Graphing and Linear Equations
5. Systems of Linear Equations
6. Polynomials
7. Rational Expressions
8. Exponents and Roots
9. Quadratic Equations

What You Will Learn in Understanding Algebra

"Understanding Algebra" by "James W. Brennan" is a beginner-friendly algebra book written to help learners truly understand how algebra works. It is designed for high school students, early college learners, and adults returning to math. The book explains ideas step by step, focusing on clarity and reducing math anxiety through simple language and relatable examples. The content starts with a review of arithmetic and gradually introduces "variables", "expressions", and "equations". Topics such as word problems, graphing, straight lines, exponents, and polynomials are explained carefully, with attention to common mistakes. Brennan emphasizes "conceptual understanding", showing not just how to solve problems but why each method works. A key strength of the book is its accessibility. It supports "self-study" and classroom learning, and it is widely known for being available online at no cost. With its focus on "foundations", practical explanations, and learner confidence, "Understanding Algebra" is an excellent resource for anyone building or rebuilding core algebra skills.

Book Details & Specifications

Title: Understanding Algebra by James W. Brennan
Publisher: James Brennan
Year: 2011
Pages: 106
Type: PDF
Language: English
ISBN-10 #: B004WLOLYY
ISBN-13 #: N\A
License: External Educational Resource
Amazon: Amazon

About the Author: James W. Brennan

The author James W. Brennan is a dedicated mathematics educator known for creating *Understanding Algebra*, a free and accessible textbook designed for students at the introductory level. With a focus on clarity and step-by-step explanations, Brennan’s work supports high school, college prep, and adult learners in building a strong foundation in algebra. His teaching style emphasizes practical understanding, visual tools, and real-world problem solving. Brennan personally maintains and funds the online availability of his book, reflecting his commitment to open, high-quality education. His work continues to benefit self-learners, homeschoolers, and educators seeking reliable, easy-to-follow algebra resources.


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Calculus
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