### All ACT Math Resources

## Example Questions

### Example Question #51 : Variables

Solve for x when 6x – 4 = 2x + 5

**Possible Answers:**

9/4

0

1/4

3

**Correct answer:**

9/4

Solve by simplifying:

6x – 4 = 2x + 5

6x = 2x + 9

4x = 9

x = 9/4

### Example Question #1 : Simplifying

What is the value of the following equation if and ?

**Possible Answers:**

**Correct answer:**

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

### Example Question #21 : Binomials

Simplify the following binomial:

**Possible Answers:**

**Correct answer:**

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, :

Then you have arrived at your final answer.

### Example Question #31 : Polynomials

Simplify the following binomial:

**Possible Answers:**

**Correct answer:**

The equation presented in the problem is:

First you have to combine the like terms, i.e. combining all instances of and :

Then, you must reduce to find your answer:

### Example Question #51 : Variables

Simplify the following binomial expression:

**Possible Answers:**

**Correct answer:**

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

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