If
you have little or no algebra background, you may read the lessons
in the order listed below. If
you have some algebra background,
you can usually skip to any topic that you need to learn or review.

Algebra Basics

Equation Basics The equation and its relationship with a balance.

Factoring Completely Combine the methods of factoring a GCF, Difference Between
Two Squares, and Trinomial to determine the most factored form of
more complex expressions.

Sample Problem

12x^{4} - 3x^{2} - 54

Solution

3(2x + 3)(2x - 3)(x^{2} + 2)

Equations - Advanced Solving

Solve By Factoring Solve equations by moving terms to the left side, factoring,
and solving several subproblems.

Sample Problem

x^{2} + 3x = 8x - 6

Solution

x = 2, 3

Completing the Square Solve equations which cannot be factored by Completing
the Square.

Sample Problem

10x^{2} + 22x + 12.1 = 0

Solution

x = -1.1 (double root)

Solving Using the Quadratic Formula Solve second degree equations, without factoring or
completing the square, by using the quadratic formula.