### All ACT Math Resources

## Example Questions

### Example Question #24 : Integers

Tom has twice as many chores as Jeff, who has 3 less than Steve. Steve has 10 chores. How many chores does Tom have?

**Possible Answers:**

**Correct answer:**

If Steve has 10 chores, Jeff has 7 chores (3 less than Steve). Tom has twice as many as Steve, so Tom has 14 chores.

### Example Question #1 : How To Subtract Odd Numbers

Your mom made cookies. You ate , your brother ate twice as many as you did, and your sister ate . How many are left?

**Possible Answers:**

**Correct answer:**

Create an equation for the situation described and solve:

### Example Question #1 : How To Subtract Odd Numbers

Your mom gives out total presents each year to your cousins. If your cousin Sally received and your cousin Billy received times as many as Sally, how many did your cousin, Becky get?

**Possible Answers:**

**Correct answer:**

Create an equation to decribe the above situation and solve.

Total presents given out is represented by .

Presents given to Sally is represented by .

Presents given to Billy is represented by .

Thus our equation becomes,

### Example Question #27 : Integers

**Possible Answers:**

**Correct answer:**

Always start by gathering your facts. You know that if is odd, then *neither* of those numbers are even. (If either were, then the product would be even.) Now, the rules for subtracting are just like adding. If the difference of two numbers is even, then they must either both be odd or both be even. Thus if is even and we know that is odd, then we know that must be odd. Thus if is odd, it is also true that is even, for both and are even.