In this video, we will be learning how to use the order of operations (**PEMDAS**) in word problems involving substitution. In this video we will be learning how to declare variables in word problems. After you finish this lesson, view all of our Algebra 1 lessons and practice problems.

## Example of Order of Operations with Substitution

Let

Substitute first into parenthesis:

Evaluate the exponent:

Multiply:

Addition/Subtraction:

Simplify:

## Examples of Order Of Operations With Substitution

### Example 1

Let , ,

Substitute first into parenthesis:

Evaluate the exponent:

Multiply:

Addition/Subtraction:

Simplify:

### Example 1

Let , ,

Substitute first into parenthesis:

Evaluate the exponent:

Multiply:

Addition/Subtraction:

Simplify:

## Video-Lesson Transcript

Let’s go over the order of operations with substitution.

We all know that it is PEMDAS.

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

For example:

Let , , and

In order to evaluate this, we have to substitute these values using parenthesis.

Let’s solve the exponent part first.

Then, let’s multiply.

Now, our answer is .

So the key is to substitute using parenthesis. Then follow the rules in PEMDAS.