﻿ Understanding Algebra by James Brennan

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## Understanding Algebra by James Brennan

Chapter 1- The Numbers of Arithmetic

• 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