8th Grade Order of Operations (PEMDAS) Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers
Parentheses, then Exponents, then Multiplication/Division (left to right), then Addition/Subtraction (left to right).
1.51 − 18 ÷ 2
Answer: 42
- Divide first: 18 ÷ 2 = 9
- 51 − 9 = 42
2.92 + 3 × (5 − 3)
Answer: 87
- Parentheses: 5 − 3 = 2
- Exponent: 92 = 81
- Multiply: 3 × 2 = 6
- 81 + 6 = 87
3.52 + 6 × (3 − 5)
Answer: 13
- Parentheses: 3 − 5 = (−2)
- Exponent: 52 = 25
- Multiply: 6 × (−2) = (−12)
- 25 − 12 = 13
4.8 × 4 − 5 × 2
Answer: 22
- 8 × 4 = 32 and 5 × 2 = 10
- 32 − 10 = 22
5.9 × 4 − 6 × 2
Answer: 24
- 9 × 4 = 36 and 6 × 2 = 12
- 36 − 12 = 24
6.44 − 32 ÷ 4
Answer: 36
- Divide first: 32 ÷ 4 = 8
- 44 − 8 = 36
7.42 + 4 × (7 − 2)
Answer: 36
- Parentheses: 7 − 2 = 5
- Exponent: 42 = 16
- Multiply: 4 × 5 = 20
- 16 + 20 = 36
8.(4 + 7)2 ÷ 11
Answer: 11
- Parentheses: 4 + 7 = 11
- Exponent: 112 = 121
- 121 ÷ 11 = 11
9.(4 + 3)2 ÷ 7
Answer: 7
- Parentheses: 4 + 3 = 7
- Exponent: 72 = 49
- 49 ÷ 7 = 7
10.(6 + 8)2 ÷ 14
Answer: 14
- Parentheses: 6 + 8 = 14
- Exponent: 142 = 196
- 196 ÷ 14 = 14
11.21 − 12 ÷ 4
Answer: 18
- Divide first: 12 ÷ 4 = 3
- 21 − 3 = 18
12.3 × 3 − 2 × 2
Answer: 5
- 3 × 3 = 9 and 2 × 2 = 4
- 9 − 4 = 5
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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