• Algebraic Notation

• Algebraic Expressions

• Algebraic Equations

• Algebraic Expressions and Word Problems

• Collecting Like Terms

• Algebraic Products

• Section Review

Random Variables

Expressions, Equations, Like Terms

Expansion

• The Distributive Law

• Product Law (FOIL)

• Difference of Squares Expansion

• Perfect Square Expansion

• Product Rule with 5 Terms (Jumbo FOIL1)

• Product Rule with 5 Terms (Jumbo FOIL 2)

• Expansion Review 1

• Expansion Review 2

A set of foundational algebra lessons designed to build confidence with expressions, word problems, basic equations, and other core ideas that prepare you for future topics.

Learn how algebraic notation works, how to write and simplify expressions, and how to set up and solve basic equations — including translating word problems into algebra.

Practice using the distributive law and FOIL to expand products, including special patterns like perfect squares and differences of squares, then collect like terms and review expansion skills in mixed problems.

Radicals (Roots)

Methods for reducing a radical to simplest form, and for simplifying expressions.

• Radicals and SURDs

• More Work Simplifying Radicals

• Simplest Radical Form

• Adding / Subtracting Radicals

• Multiplying Radicals

• Dividing Radicals

• Review

Indices (Powers, Exponents)

Learn how to perform operations on variables with exponents, and reduce expressions based on rules.

• Evaluating Indices

• Negative Bases

• Index Laws Part I

• Index Laws Part II

• Complex Problems with Indices

• Rational Indices

• Review

Factoring

Methods for reducing a radical to simplest form, and for simplifying expressions.

• Greatest Common Factors

• Factoring Difference of Squares

• More Factoring with Difference of Squares

• Factoring with Perfect Squares

• Factoring with Four Terms

• Factoring Quadratic Trinomials

• Factoring By Splitting the Middle Term 1

• Factoring By Splitting the Middle Term 2

• Factoring Review

• Factoring and Expansion Review