This section is designed specifically for those who are beginning Algebra, but will be useful for reference if you're learning Intermediate or Advanced algebra topics. You'll find a list of topics followed by a brief description.

How do you use these pages? If you're starting out, I recommend that you start with Algebraic Expressions, Algebraic Equations, Algebraic Factoring and Exponents. These will give you the foundation needed to understand the other basic algebra topics.

If you just want to find information to solve a problem, go to the topic that is most obviously relevant to your problem, and read. What if you can't solve a problem with the knowledge from one topic? Recognize that some problems might need a combination of different techniques from Pre Algebra and basic Algebra. Identify the techniques and you'll solve the problem easily.

Unit Conversion

Cancelling Basic Units

Cancelling Compound Units

Monomials

Addition and Subtraction of Monomials

Multiplying Monomials

Dividing Monomials

Polynomials

Addition and Subtraction of Polynomials

Multiplication of Polynomials

Dividing polynomials by monomials

Dividing polynomials by polynomials

Algebraic Terms and Expressions

Unknowns and coefficients

Like and unlike terms

Multiplication and division of 2 or more algebraic terms

Algebraic Expressions

Simplify Algebra Expressions

Factorizing and Expanding Algebraic Expressions

A list of 4 algebra factoring methods

Method I: Common factor

Method II: Difference between two squares

Method III: By Inspection

Method IV: By Grouping & Rearrangement

Equations

2 techniques to solve algebraic equations

Equations

Axioms of Equality

Solving Equations

Literal Equations

Linear Equations: What are Linear Equations?

Solving Linear Equations

Simultaneous Linear Equations

What are Linear Inequalities?

Solving Linear Inequalities

Definition of algebraic fractions

Addition and Subtraction of algebraic fractions

Multiplication of algebraic fractions

Division of algebraic fractions

Algebraic fractions exercises

Answers to the exercise

Basics of Solving Radical Equations

Examples of Solving Radical Equations

Solving Literal Equations

Exponents: Exponentiation and Indices

Basic index notation

Expressing numbers in index notation

Multiplication of numbers in index notation

Division of numbers in index notation

Raising the Power of Numbers in Index Notation

Negative exponents

Fractional Indices

Examples of computing exponents

Simplifying Exponential Expressions

Roots and Radicals

Simplifying Square Roots

Operation with Square Roots

Square Roots and Cube Roots

Useful list of radicals to remember

Roots & Radicals: Exercise

Ratios and Proportion

Ratios in 2 quantities

Ratios in 3 quantities

Proportion

Is there a topic here that you'd like to see, but isn't included? Be sure to leave a comment below, and I'll see if I can work it into this page.

Return from Basic Algebra to Algebra-by-Example.com

Attention: If you're viewing this material to prepare for home schooling, or to get an idea of what it takes, head on over to homeschool-life-situations.com (opens new window or tab). You'll find some great pointers to help you get started.

If you know a topic that should be in this section, make a request here!