8th Grade Order of Operations (PEMDAS) Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 8th Grade order of operations worksheet.
8th Grade Order of Operations (PEMDAS) Worksheet — Level 3 — Practice Set 3 — Answers
Parentheses, then Exponents, then Multiplication/Division (left to right), then Addition/Subtraction (left to right).
1.7 × 5 − 6 × 4
Answer: 11
- 7 × 5 = 35 and 6 × 4 = 24
- 35 − 24 = 11
2.87 − 24 ÷ 4
Answer: 81
- Divide first: 24 ÷ 4 = 6
- 87 − 6 = 81
3.52 + 6 × (8 − 4)
Answer: 49
- Parentheses: 8 − 4 = 4
- Exponent: 52 = 25
- Multiply: 6 × 4 = 24
- 25 + 24 = 49
4.9 × 6 − 3 × 2
Answer: 48
- 9 × 6 = 54 and 3 × 2 = 6
- 54 − 6 = 48
5.22 − 24 ÷ 3
Answer: 14
- Divide first: 24 ÷ 3 = 8
- 22 − 8 = 14
6.(5 + 9)2 ÷ 14
Answer: 14
- Parentheses: 5 + 9 = 14
- Exponent: 142 = 196
- 196 ÷ 14 = 14
7.(4 + 9)2 ÷ 13
Answer: 13
- Parentheses: 4 + 9 = 13
- Exponent: 132 = 169
- 169 ÷ 13 = 13
8.37 − 36 ÷ 4
Answer: 28
- Divide first: 36 ÷ 4 = 9
- 37 − 9 = 28
9.22 + 7 × (8 − 5)
Answer: 25
- Parentheses: 8 − 5 = 3
- Exponent: 22 = 4
- Multiply: 7 × 3 = 21
- 4 + 21 = 25
10.18 − 8 ÷ 4
Answer: 16
- Divide first: 8 ÷ 4 = 2
- 18 − 2 = 16
11.62 + 9 × (6 − 3)
Answer: 63
- Parentheses: 6 − 3 = 3
- Exponent: 62 = 36
- Multiply: 9 × 3 = 27
- 36 + 27 = 63
12.82 + 6 × (5 − 4)
Answer: 70
- Parentheses: 5 − 4 = 1
- Exponent: 82 = 64
- Multiply: 6 × 1 = 6
- 64 + 6 = 70
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.
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