Order of Operations Introduction — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. A pizza is cut into 8 slices. Two friends each eat 3 slices. Which expression shows slices left?
A) 8 - 2 x 3
B) (8 - 2) x 3
C) 8 - 2 - 3
D) 8 / 2 - 3
Two friends eating 3 slices each is 2 x 3 = 6, and 8 - 6 = 2 slices remain.
2. Evaluate: (5 + 7) / 4 + 2 x 3
A) 7
B) 9
C) 11
D) 13
5 + 7 equals 12, 12 / 4 equals 3, 2 x 3 equals 6, and 3 + 6 equals 9.
3. Sara packs 4 boxes with 5 cookies each, plus 2 extra boxes of 3 cookies. Which expression matches?
A) 4 + 5 x 2 + 3
B) (4 + 2) x (5 + 3)
C) 4 x 5 + 2 x 3
D) 4 x (5 + 2) x 3
First group is 4 x 5 = 20 cookies, second is 2 x 3 = 6, combined as 4 x 5 + 2 x 3.
4. Evaluate: 3 x (12 / 4) + (8 - 5)
A) 9
B) 10
C) 11
D) 12
12 / 4 equals 3, 8 - 5 equals 3, then 3 x 3 equals 9, and 9 + 3 equals 12.
Part B: Fill in the Blank
Write the correct answer on each line.
1. Evaluate: 50 - (4 + 6) x 3 = 20
4 + 6 equals 10, then 10 x 3 equals 30, and 50 - 30 equals 20.
2. A baker makes 4 trays with 6 muffins each, then sells 9. The expression 4 x 6 - 9 equals 15
4 x 6 equals 24, and 24 - 9 equals 15 muffins remaining following PEMDAS.
3. Evaluate: (15 + 5) / (2 + 3) = 4
15 + 5 equals 20, and 2 + 3 equals 5, so 20 / 5 equals 4.
4. Evaluate: 6 + 2 x (9 - 4) - 3 = 13
9 - 4 equals 5, 2 x 5 equals 10, 6 + 10 equals 16, and 16 - 3 equals 13.
5. Evaluate: 100 / (5 x 2) + 4 x 3 = 22
5 x 2 equals 10, 100 / 10 equals 10, 4 x 3 equals 12, and 10 + 12 equals 22.