# 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

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.

### Adding expressions

VIDEO
1:14 minutes

So what if we add not just numbers or variables..but expressions? Here's a simple example to get you thinking about this.

### Combining like terms explained

VIDEO
3:06 minutes

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

### Combining like terms example 2

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.

### 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.

### Applying the distributive property

VIDEO
1:05 minutes

In this example we are asked to expand an expression using the distributive property.

### Factoring algebraic expressions

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. These problems involve adding and subtracting decimals and 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 algebraic expressions

PRACTICE PROBLEMS

Practice determining whether or not two algebraic expressions are equivalent.