Study Guide

Basic Algebra Topics

Arithmetic, Geometric, and Exponential Patterns

Good news: you've actually been working with algebra since you were three and began to notice...

Algebraic Expressions

Let's get down to business. An expression is made up of terms. Terms are the separate values in...

Evaluating Algebraic Expressions

Expressions are made of variables, or letters that take the place of unknown numbers. But what if...

Combining Like Terms

Algebraic terms can, and often should, be combined and simplified. However, only terms that are...

Algebraic Properties

Long ago, and in a guide far, far away, we learned the properties of numbers: commutative,...

Distributive Property

This one is insanely important when working with algebraic expressions. The distributive property...

Multiplying Monomials

A polynomial is an expression that's made up of constants and/or variables. All the expressions...

Multiplying Binomials

This is the last type of multiplication that we're going to look at in this unit. The good news...

Dividing Polynomials

Dividing polynomials starts with dividing monomials, and dividing monomials boils down to...

Solving One-Step Equations

Finally, we're getting into the kinds of problems that most people usually think of when they...

Solving Two-Step Equations

Solving two-step equations isn't much more complicated than solving one-step equations; it just...

Solving More Complex Equations

This multi-step business may be a bit more complicated than what we've already been doing, but...

Solving Equations with Variables on Both Sides

If you encounter a variable on both sides of the equal sign, don't assume it's a typo and move on...

Solving Funky Equations

Sometimes we'll need to solve an equation that has a funky answer, like 10 = 8 or y = y. This...

Dividing by Zero

Let's review a math rule. Remember this one? No dividing by zero. Nuh-uh, no way, never, ever....

Translating Expressions and Equations

Some words can be translated into math, and some math can be translated into words, and neither...

Equations and Word Problems

Audrey II is a man-eating plant living in the Little Shop of Horrors and it needs blood, and lots...

Graphing Inequalities on a Number Line

Inequalities are exactly what they sound like: equations where the sides are "inequal" (not...

Solving Inequalities

Solving inequalities isn't that much different than solving equations. Instead of having an...

Inequality Word Problems

Inequalities, like equations, can be translated and used to solve problems. We use an inequality...

Graphing xy Points

Chances are, we've been graphing points for a long time. However, we've probably been doing so...

Graphing Lines by Plotting Points

Most of the lines we'll be graphing will much more complex than simple vertical and horizontal...

Graphing Horizontal & Vertical Lines

We know that we can graph a linear equation with two variables, such as the famous x and y, as a...

Slope

The slope of a line measures its steepness; the larger the absolute value of the slope, the...

Intercepts

The x- and y-intercepts of a line are the points where the line intercepts, or crosses, either...

Slope-Intercept Form

If the equation of a line is in slope-intercept form, it looks like this: y = mx + bHere's what...

Linear Relationships

We've now worked pretty extensively with equations containing two variables. All the equations...

Solving Multiple Equations by Graphing

Occasionally we'll be given two linear equations, also known as a system of linear equations, and...

Solving Multiple Equations Algebraically

We can find the solution to a system of linear equations by graphing like a boss, but there are...