IAAT - Iowa Algebra Aptitude Order of Operations Questions and Answers

Question 1

What is the value of the expression 48 ÷ 2(9 + 3)?

Accepted Answer

288

Answer

2

Answer

4

Answer

72

Question 2

A student was asked to evaluate the expression 60 - 4² ÷ 2 × 3. Their work is shown below.

Step 1: 60 - 16 ÷ 2 × 3
Step 2: 44 ÷ 2 × 3
Step 3: 22 × 3
Step 4: 66

In which step did the student make their first mistake?

Accepted Answer

Step 2

Answer

Step 1

Answer

Step 3

Answer

Step 4

Question 3

Where should parentheses be placed in the expression 5 + 3 × 8 - 2² to make its value equal to 60?

Accepted Answer

(5 + 3) × 8 - 2²

Answer

5 + 3 × (8 - 2²)

Answer

(5 + 3 × 8) - 2²

Answer

5 + (3 × 8 - 2²)

Question 4

What is the value of the expression: 3 × [20 - (2 + 4)² ÷ 9]?

Accepted Answer

48

Answer

12

Answer

52

Answer

16

Question 5

A family buys 4 adult movie tickets for $12 each and 3 child tickets for $8 each. They also buy a large popcorn for $10 and use a coupon for $5 off the entire purchase. Which expression correctly calculates their total cost?

Accepted Answer

4 × 12 + 3 × 8 + 10 - 5

Answer

4 + 3 × 12 + 8 + 10 - 5

Answer

4 × (12 + 8) + 3 × 10 - 5

Answer

(4 + 3) × (12 + 8) + 10 - 5

Question 6

Which of the following expressions has a value of 20?

Accepted Answer

8 + 3 × 4

Answer

(8 + 3) × 4

Answer

40 ÷ 5 - 3 × 2

Answer

2 + (9 - 1) × 2