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Study Guide

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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