PEMDAS Math Worksheet Answer Key with solved problems.

Let’s solve each problem step by step using the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).

We’ll go one by one:

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1. (1 + 9) - 2
→ First, do inside parentheses: 1 + 9 = 10
→ Then subtract: 10 - 2 = 8

Wait — the answer key says 7? That can’t be right. Let me double-check.

Actually, looking again:
(1 + 9) = 10 → 10 - 2 = 8, not 7. But the image shows 7 as the answer. Hmm… maybe it’s a typo in the key? Or did I misread?

Wait — let me check all problems carefully. Maybe I should verify each one against PEMDAS and see if any are wrong.

But hold on — perhaps the user wants us to *solve* them correctly, regardless of what the “Answer Key” says? The instruction is: “Solve the problem accurately.” So we must compute correctly, even if the key is wrong.

Let’s proceed with correct math.

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Problem 1: (1 + 9) - 2
= 10 - 2 = 8

Problem 2: 3 + (2 × 3)
→ Multiply first: 2 × 3 = 6
→ Then add: 3 + 6 = 9 ✔ matches key

Problem 3: (9 × 6) + 6
→ 9 × 6 = 54
→ 54 + 6 = 60 ✔ matches key

Problem 4: (1 × 4) - 4
→ 1 × 4 = 4
→ 4 - 4 = 0 ✔ matches key

Problem 5: 8 + (2 × 1)
→ 2 × 1 = 2
→ 8 + 2 = 10 ✔ matches key

Problem 6: (7 × 8) + 1
→ 7 × 8 = 56
→ 56 + 1 = 57 ✔ matches key

Problem 7: 7 + (3 × 1)
→ 3 × 1 = 3
→ 7 + 3 = 10 ✔ matches key

Problem 8: 5 + (5 × 7)
→ 5 × 7 = 35
→ 5 + 35 = 40 ✔ matches key

Problem 9: 9 + (7 × 5)
→ 7 × 5 = 35
→ 9 + 35 = 44 ✔ matches key

Problem 10: 5 + (9 × 8)
→ 9 × 8 = 72
→ 5 + 72 = 77 ← Wait! The key says 86? That’s wrong.

Hold on — 9 × 8 is 72, plus 5 is 77. Not 86. So key has error here.

Problem 11: (5 × 9) + 4
→ 5 × 9 = 45
→ 45 + 4 = 49 ✔ matches key

Problem 12: 6 + (2 × 2)
→ 2 × 2 = 4
→ 6 + 4 = 10 ✔ matches key

Problem 13: 24 - (2 × 4)
→ 2 × 4 = 8
→ 24 - 8 = 16 ✔ matches key

Problem 14: 45 - (2 × 7)
→ 2 × 7 = 14
→ 45 - 14 = 31 ✔ matches key

Problem 15: 8 + (5 × 4)
→ 5 × 4 = 20
→ 8 + 20 = 28 ✔ matches key

Problem 16: 4 + (2 × 3)
→ 2 × 3 = 6
→ 4 + 6 = 10 ✔ matches key

Now back to Problem 1: (1 + 9) - 2 = 10 - 2 = 8, but key says 7 → likely typo.

Problem 10: 5 + (9 × 8) = 5 + 72 = 77, but key says 86 → definitely wrong.

So two errors in the answer key: #1 and #10.

But since the task is to solve accurately, we report correct answers.

Final verified answers:

1. 8
2. 9
3. 60
4. 0
5. 10
6. 57
7. 10
8. 40
9. 44
10. 77
11. 49
12. 10
13. 16
14. 31
15. 28
16. 10

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Final Answer:
The correct solutions are:
1. 8
2. 9
3. 60
4. 0
5. 10
6. 57
7. 10
8. 40
9. 44
10. 77
11. 49
12. 10
13. 16
14. 31
15. 28
16. 10

(Note: The provided answer key contains errors for problems #1 and #10.)