# What expressions express

9 videos
4 skills
Using the combined powers of Chuck Norris and polar bears (which are much less powerful than Mr. Norris) to better understand what expressions represent and how we can manipulate them. Great tutorial if you want to understand that expressions are just a way to express things!

### Combining like terms introduction

VIDEO 4:33 minutes
In simple addition we learned to add all the numbers together to get a sum. In algebra, numbers are sometimes attached to variables and we need to make sure that the variables are alike before we add the numbers.

VIDEO 1:14 minutes

### How to combine like terms

VIDEO 3:06 minutes
Another good explanation (minus Chuck Norris) on the how we combine like terms in algebra. This will totally make sense.

### How to simplify a big expression by combining like terms

VIDEO 3:43 minutes
We're going to simplify this expression together putting to use our new knowledge of how to combine like terms. Ok? Let's do it!

### Combining like terms, but more complicated

VIDEO 4:39 minutes
This example of combining like terms in an expression get a little hairy. Listen closely.

### Combining like terms with negative coefficients

PRACTICE PROBLEMS
Simplify algebraic expressions by combining like terms. Coefficients on some terms are negative.

### How to simplify an expression by combining like terms and the distributive property

VIDEO 4:07 minutes
We've learned about order of operations and combining like terms. Let's layer the distributive property on top of this.

### Combining like terms with distribution and negative numbers

PRACTICE PROBLEMS
Practice combining like terms using the distributive property. These problems involve adding and subtracting negative numbers.

### How to expand an expressions using the distributive property

VIDEO 1:05 minutes
Learn how to expand the following expression that has rational coefficients: 6(-4w + 1/2)

### Factoring algebraic expressions using the distributive property

VIDEO 6:14 minutes
Learn how to apply the distributive property to factor out the greatest common factor from an algebraic expression like 2+4x.

### Combining like terms with rational coefficients

PRACTICE PROBLEMS
Practice combining like terms for expressions that have rational coefficients. This requires adding and subtracting fractions.

### Equivalent forms of expressions

VIDEO 5:32 minutes
We're looking to find the expressions that are equivalent to a given expression that can be simplified. Give it a try with us.

### Equivalent expressions with distribution and combining like terms

PRACTICE PROBLEMS
Practice determining whether or not two algebraic expressions are equivalent by manipulating the expressions. These problems require you to combine like terms and apply the distributive property.