Understanding Algebra
by James Brennan
Boise State University

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Chapter 1- The Numbers of Arithmetic

1-1 The Real Number System
1-2 Addition and Subtraction of Real Numbers
1-3 Multiplication and Division
1-4 Positive Integer Exponents
1-5 Order of Operations
1-6 Fractions
1-7 Percents
1-8 Decimals
1-9 Properties of Real Numbers

Chapter 2- Introduction to Algebra

2-1 Algebraic Expressions
2-2 Simplifying Algebraic Expressions
2-3 Solutions of Algebraic Equations
2-4 Addition Principle
2-5 Multiplication Principle
2-6 Using the Principles Together

Chapter 3- Word Problems

3-1 Problem Solving Strategies
3-2 Words for Operations
3-3 General Word Problems

Chapter 4- Graphing and Straight Lines

4-1 Rectangular Coordinates
4-2 Graphing Functions
4-3 Straight Lines

Chapter 5- Systems of Linear Equations

5-1 The Solutions of a System of Equations
5-2 Addition Method
5-3 Substitution Method

Chapter 6- Polynomials

6-1 Polynomials
6-2 Addition and Subtraction of Polynomials
6-3 Multiplication of Polynomials
6-4 Special Products of Binomials
6-5 Factoring Polynomials
6-6 Factoring a Quadratic Trinomial by Grouping
6-7 Summary of Steps to Factor Quadratic Trinomials

Chapter 7- Rational Expressions

7-1 Rational Expressions
7-2 Simplifying Rational Expressions

Chapter 8- Exponents and Roots

8-1 Exponents
8-2 Roots
8-3 Simplifying Radical Expressions
8-4 Rationalizing the Denominator

Chapter 9- Quadratic Equations

9-1 Quadratic Equations 
9-2 Solving by Square Roots
9-3 Solving by Factoring
9-4 Completing the Square
9-5 The Quadratic Formula

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