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...

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