8th Grade Order of Operations (PEMDAS) Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers
Parentheses, then Exponents, then Multiplication/Division (left to right), then Addition/Subtraction (left to right).
1.(7 + 3)2 ÷ 10
Answer: 10
- Parentheses: 7 + 3 = 10
- Exponent: 102 = 100
- 100 ÷ 10 = 10
2.2 × 5 − 9 × 4
Answer: −26
- 2 × 5 = 10 and 9 × 4 = 36
- 10 − 36 = −26
3.62 + 5 × (9 − 5)
Answer: 56
- Parentheses: 9 − 5 = 4
- Exponent: 62 = 36
- Multiply: 5 × 4 = 20
- 36 + 20 = 56
4.28 − 8 ÷ 2
Answer: 24
- Divide first: 8 ÷ 2 = 4
- 28 − 4 = 24
5.(4 + 3)2 ÷ 7
Answer: 7
- Parentheses: 4 + 3 = 7
- Exponent: 72 = 49
- 49 ÷ 7 = 7
6.52 + 9 × (5 − 5)
Answer: 25
- Parentheses: 5 − 5 = 0
- Exponent: 52 = 25
- Multiply: 9 × 0 = 0
- 25 + 0 = 25
7.62 + 9 × (5 − 4)
Answer: 45
- Parentheses: 5 − 4 = 1
- Exponent: 62 = 36
- Multiply: 9 × 1 = 9
- 36 + 9 = 45
8.72 + 2 × (2 − 4)
Answer: 45
- Parentheses: 2 − 4 = (−2)
- Exponent: 72 = 49
- Multiply: 2 × (−2) = (−4)
- 49 − 4 = 45
9.8 × 2 − 4 × 3
Answer: 4
- 8 × 2 = 16 and 4 × 3 = 12
- 16 − 12 = 4
10.2 × 7 − 4 × 3
Answer: 2
- 2 × 7 = 14 and 4 × 3 = 12
- 14 − 12 = 2
11.9 × 5 − 5 × 3
Answer: 30
- 9 × 5 = 45 and 5 × 3 = 15
- 45 − 15 = 30
12.5 × 7 − 8 × 4
Answer: 3
- 5 × 7 = 35 and 8 × 4 = 32
- 35 − 32 = 3
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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