### All ACT Math Resources

## Example Questions

### Example Question #1 : How To Subtract Integers

On an airline flight of 250 people there is a choice of pasta, salad, or pizza for dinner. If 113 passengers choose pasta and 30% choose salad, how many passengers choose pizza?

**Possible Answers:**

53

75

62

100

**Correct answer:**

62

30% of 250 is 75. Therefore, 250 – 75 – 113 = 62

### Example Question #3 : Operations

At a store, a t-shirt costs . If Shane bought t-shirts and shoes from the store for , how much were the shoes?

**Possible Answers:**

**Correct answer:**

If one shirt costs , then two shirts must cost . The difference of the total and this number is the cost of the the shoes.

### Example Question #3 : How To Subtract Integers

is equivalent to which of the following?

**Possible Answers:**

**Correct answer:**

To answer this question, we must remember how to distribute a negative when we are subtracting an entire expression.

To distribute a negative, you change the sign of everything within the expression being subtracted from positive to negative or negative to positive. You then add the resulting expression. So, for this data:

We can then add the like expressions normally (combine with , with , and with ). Therefore, for this data:

Therefore, our answer is .

Certified Tutor