# ACT Math : How to simplify binomials

## Example Questions

### Example Question #1 : Simplifying

Solve for x when 6x – 4 = 2x + 5

1/4

9/4

3

0

9/4

Explanation:

Solve by simplifying:

6x – 4 = 2x + 5

6x = 2x + 9

4x = 9

x = 9/4

### Example Question #31 : Polynomials

What is the value of the following equation if  and ?

Explanation:

Substitute the numbers 3 and –4 for t and v, respectively.

### Example Question #1 : How To Simplify Binomials

Simplify the following binomial:

Explanation:

The equation that is presented is:

To get the correct answer, you first need to combine all of the like terms. So, you can subtract the  from the , leaving you with:

From there, you can reduce the numbers by their greatest common denominator, in this case, :

### Example Question #4 : How To Simplify Binomials

Simplify the following binomial expression:

Explanation:

First, combine all of the like terms that you are able:

Then, reduce by the greatest common denominator (in this case, ):

### Example Question #5 : How To Simplify Binomials

Simplify the following binomial: