7th Grade Order of Operations (PEMDAS) Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 7th Grade order of operations worksheet.
7th 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).
1.21 − 15 ÷ 3
Answer: 16
- Divide first: 15 ÷ 3 = 5
- 21 − 5 = 16
2.3 × 9 − 5 × 5
Answer: 2
- 3 × 9 = 27 and 5 × 5 = 25
- 27 − 25 = 2
3.(7 + 7)2 ÷ 14
Answer: 14
- Parentheses: 7 + 7 = 14
- Exponent: 142 = 196
- 196 ÷ 14 = 14
4.(5 + 7)2 ÷ 12
Answer: 12
- Parentheses: 5 + 7 = 12
- Exponent: 122 = 144
- 144 ÷ 12 = 12
5.9 − 25 ÷ 5
Answer: 4
- Divide first: 25 ÷ 5 = 5
- 9 − 5 = 4
6.(5 + 6)2 ÷ 11
Answer: 11
- Parentheses: 5 + 6 = 11
- Exponent: 112 = 121
- 121 ÷ 11 = 11
7.82 + 4 × (9 − 5)
Answer: 80
- Parentheses: 9 − 5 = 4
- Exponent: 82 = 64
- Multiply: 4 × 4 = 16
- 64 + 16 = 80
8.62 + 8 × (7 − 5)
Answer: 52
- Parentheses: 7 − 5 = 2
- Exponent: 62 = 36
- Multiply: 8 × 2 = 16
- 36 + 16 = 52
9.(4 + 7)2 ÷ 11
Answer: 11
- Parentheses: 4 + 7 = 11
- Exponent: 112 = 121
- 121 ÷ 11 = 11
10.35 − 10 ÷ 2
Answer: 30
- Divide first: 10 ÷ 2 = 5
- 35 − 5 = 30
11.72 + 8 × (7 − 5)
Answer: 65
- Parentheses: 7 − 5 = 2
- Exponent: 72 = 49
- Multiply: 8 × 2 = 16
- 49 + 16 = 65
12.3 × 3 − 7 × 4
Answer: −19
- 3 × 3 = 9 and 7 × 4 = 28
- 9 − 28 = −19
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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