# Understanding Algebra

by Ron Kurtus (updated 16 March 2023)

Algebra is a branch of mathematics that uses letters of the alphabet to represent objects, numbers or even groups of numbers or expressions. In many cases, algebra uses shorthand mathematical notation to simplify complex or very large terms. A major goal in algebra is to solve equations.

I've found that knowing about Algebra has been very useful. Understanding algebraic methods is important in science, computing and other math courses. Algebra is used in so many fields that the subject can even help in your career.

The purpose of these lessons is to help you gain understanding the basics of Algebra, such that you do well in school and become a champion in the subject.

## Basics

What is Algebra?

Purpose of Algebra is to Solve Equations

## Terminolgy

Terminology Used in Algebra

Variables and Constants in Algebra

Algebraic Operations and Symbols

Algebraic Expressions

## Properties

Product of Two Negative Numbers is Positive

Properties or Laws of Addition and Multiplication

Algebra of Objects

Imaginary Numbers

## Working with expressions

Combining Like Terms in an Expression

Multiplying Binomial Expressions

## Exponents and roots

Exponents

Exponent Rules

Multiplication with Exponents

Division with Exponents

Exponents to the Power of 10

Square Roots

Newton's Square Root Approximation

## Solving equations

Linear Equations

Solving a Linear Equation with One Variable

Completing the Square Method

## Resources

Algebra Resources

Arithmetic

Author's Credentials

## Survey results

See results of survey questions

## My books

School for Champions

## Subjects in website

### Let's make the world a better place

Be the best that you can be.

Use your knowledge and skills to help others succeed.

Don't be wasteful; protect our environment.

### Live Your Life as a Champion:

Seek knowledge and gain skills

Do excellent work

Be valuable to others

Have utmost character

#### Be a Champion!

The School for Champions helps you become the type of person who can be called a Champion.