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Solving Linear Systems Using Matrix Algebra

One of the most common applications of square matrices is to solve systems of linear equations. Solving linear systems using matrix algebra is more efficient than hand calculating the systems using...

Simplifying Radicals

When simplifying square roots, we give the positive and negative answer if solving an equation that did not originally have a square root. Otherwise, we give only the principal root. Square roots of...

Solving Equations with Variables on Both Sides

It takes practice and a few useful methods to decide where to start when solving equations with a variable on both sides of the equals sign. There are many methods we use to solve for the variable when it...

Factoring Trinomials, a=1

When you are given a trinomial, or a quadratic equation, it can be useful to factor the equation for the purposes of canceling and simplifying. Factoring trinomials is easiest when the leading coefficient...

Simplifying Complex Fractions

When you simplifying complex fractions, factor the numerator and denominator into terms multiplying each other and look for equivalents of one (something divided by itself). Include parenthesis around any...

Augmented Matrices

To solve a system of linear equations, we can use substitution, elimination or something we call augmented matrices. To use matrices to solve a system of linear equations, we first enter the values...

Solving a Quadratic Equations by Completing the Square

Solving quadratics can be difficult. Completing the square is one method for solving a quadratic equation. A quadratic equation can also be solved by factoring, using the square roots, or using the...

Introduction to Equations-Defining Variables

Variables are used throughout Algebra, Geometry, and Calculus. Variables are therefore very important to understand. A variable is a symbol, such as x, that is used to describe an unknown number. In functions...

Graphing Linear Equations- Table of Values

We often use a table of values to plot and connect points when we are graphing a line. Sometimes graphing lines using an equation involves the same methods as using a table of values. There are several...

Solving Linear Equations

Equations are fundamental to Algebra, and solving linear equations is necessary for you to learn how to solve two-step equations, and other multi-step equations. Solving linear equations involves finding...
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