### All ACT Math Resources

## Example Questions

### Example Question #1 : Negative Numbers

What is 1 + (–1) – (–3) + 4 ?

**Possible Answers:**

9

6

1

7

3

**Correct answer:**

7

You simplify the expression to be 1 – 1 + 3 + 4 = 7

### Example Question #2 : Negative Numbers

Solve the following equation for :

**Possible Answers:**

**Correct answer:**

To begin, we need to recall how to subtract negative numbers. Remember, when subtracting a negative number, the two negatives cancel out, creating a positive.

So, this:

Becomes this:

We can combine like terms on the left to get:

Then, we can subtract from both sides in order to get by itself:

In this case, we are subtracting from a negative number, which is just like adding two negative numbers, or subtracting from a positive number. The result will be more negative, because we will be moving further to the left on the number line.

### Example Question #1 : The Number System

Compute the following:

**Possible Answers:**

**Correct answer:**

Convert all the double signs to a single sign before solving. Remember, two minus (negative) signs combine to form a plus (positive) sign, and a plus (positive) sign and a minus (negative) sign combine to form a minus (negative) sign.