Algebra Help: Understanding Algebra - An Online Algebra Help Text

 

 

Chapter 1 - The Numbers of Arithmetic

Chapter 6 - Polynomials

 

• The Real Number System

• Polynomials

 

• Addition and Subtraction of Real Numbers

• Addition and Subtraction of Polynomials

 

• Multiplication and Division

• Multiplication of Polynomials

 

• Positive Integer Exponents

• Special Products of Binomials

• Order of Operations

• Factoring Polynomials

• Fractions

• Factoring a Quadratic Trinomial by Grouping

• Percents

• Summary of Steps to Factor Quadratic Trinomials

• Decimals

 

• Properties of Real Numbers

Chapter 7 - Rational Expressions

 

• Rational Expressions

Chapter 2 - Introduction to Algebra

• Simplifying Rational Expressions

• Algebraic Expressions

 

• Simplifying Algebraic Expressions

Chapter 8 - Exponents and Roots

• Solutions of Algebraic Equations

• Exponents

• Addition Principle

• Roots

• Multiplication Principle

• Simplifying Radical Expressions

• Using the Principles Together

• Rationalizing the Denominator

 

 

Chapter 3 - Word Problems

Chapter 9 - Quadratic Equations

• Problem Solving Strategies

• Quadratic Equations

• Words for Operations

• Solving by Square Roots

• General Word Problems

• Solving by Factoring

 

• Completing the Square

Chapter 4 - Graphing and Straight Lines

• The Quadratic Formula

• Rectangular Coordinates

 

• Graphing Functions

 

• Straight Lines

By: James W. Brennan

 

 

Chapter 5 - Systems of Linear Equations

 

• The Solutions of a System of Equations

 

• Addition Method

 

• Substitution Method

 

 

Algebra Help: Algebra Help Articles

 

 

• Translating Verbal Expressions to Variable Expressions

• Quadratic Equations

• A Geometrical Approach to Completing the Square

• Complex Number Arithmetic

• Using Function Notation

• Polynomial and Rational Inequalities

• How to find Compositions of Functions

• How to find the Inverse of a Function

• Synthetic Division

• Polynomial Equation Examples

• The Inverse Properties of Logarithms

• The Three Big Properties of Logarithms

• Some Techniques for Solving Exponential and Logarithmic Equations

 

 

 

• Getting Rid of Parentheses

 

• Simplifying Exponential Expressions

 

• Linear Equations

 

• Translating Sentences into Equations

 

• How to Solve Percent Increase and Decrease Problems

 

• How to Add, Subtract, Multiply, and Divide Polynomials

 

• Factoring Polynomials

 

• Rational Expressions

 

• How to Rationalize a Denominator