Success TutoringWorksheets

8th Grade Order of Operations (PEMDAS) Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the 8th Grade order of operations worksheet.

Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Order of Operations

8th Grade Order of Operations (PEMDAS) Worksheet — Level 3 — Answers

Parentheses, then Exponents, then Multiplication/Division (left to right), then Addition/Subtraction (left to right).

1.92 + 3 × (4 − 5)

Answer: 78

  1. Parentheses: 4 − 5 = (−1)
  2. Exponent: 92 = 81
  3. Multiply: 3 × (−1) = (−3)
  4. 81 − 3 = 78
2.8 × 5 − 5 × 5

Answer: 15

  1. 8 × 5 = 40 and 5 × 5 = 25
  2. 40 − 25 = 15
3.3 × 2 − 9 × 5

Answer: −39

  1. 3 × 2 = 6 and 9 × 5 = 45
  2. 6 − 45 = −39
4.6 × 5 − 3 × 5

Answer: 15

  1. 6 × 5 = 30 and 3 × 5 = 15
  2. 30 − 15 = 15
5.(6 + 3)2 ÷ 9

Answer: 9

  1. Parentheses: 6 + 3 = 9
  2. Exponent: 92 = 81
  3. 81 ÷ 9 = 9
6.6 × 5 − 7 × 3

Answer: 9

  1. 6 × 5 = 30 and 7 × 3 = 21
  2. 30 − 21 = 9
7.2 × 2 − 4 × 2

Answer: −4

  1. 2 × 2 = 4 and 4 × 2 = 8
  2. 4 − 8 = −4
8.4 × 5 − 9 × 4

Answer: −16

  1. 4 × 5 = 20 and 9 × 4 = 36
  2. 20 − 36 = −16
9.71 − 24 ÷ 3

Answer: 63

  1. Divide first: 24 ÷ 3 = 8
  2. 71 − 8 = 63
10.32 + 6 × (5 − 3)

Answer: 21

  1. Parentheses: 5 − 3 = 2
  2. Exponent: 32 = 9
  3. Multiply: 6 × 2 = 12
  4. 9 + 12 = 21
11.5 × 5 − 8 × 5

Answer: −15

  1. 5 × 5 = 25 and 8 × 5 = 40
  2. 25 − 40 = −15
12.11 − 35 ÷ 5

Answer: 4

  1. Divide first: 35 ÷ 5 = 7
  2. 11 − 7 = 4
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

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.