PEMDAS Problems - Free Printable
Educational worksheet: PEMDAS Problems. Download and print for classroom or home learning activities.
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Step-by-step solution for: PEMDAS Problems
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Show Answer Key & Explanations
Step-by-step solution for: PEMDAS Problems
Let’s solve each problem step by step using the order of operations:
Parentheses → Exponents → Multiplication & Division (left to right) → Addition & Subtraction (left to right)
We’ll go one by one.
---
1) (4 + 3) x 2 =
→ Parentheses first: 4 + 3 = 7
→ Then multiply: 7 x 2 = 14 ✔ (already given)
---
2) 4 + (3 x 2) =
→ Parentheses: 3 x 2 = 6
→ Then add: 4 + 6 = 10
---
3) (2 + 3) x 5 =
→ Parentheses: 2 + 3 = 5
→ Multiply: 5 x 5 = 25
---
4) 2 + (3 x 5) =
→ Parentheses: 3 x 5 = 15
→ Add: 2 + 15 = 17
---
5) (8 - 3) x 2 =
→ Parentheses: 8 - 3 = 5
→ Multiply: 5 x 2 = 10
---
6) 8 - (3 x 2) =
→ Parentheses: 3 x 2 = 6
→ Subtract: 8 - 6 = 2
---
7) (4 + 2) x 3 =
→ Parentheses: 4 + 2 = 6
→ Multiply: 6 x 3 = 18
---
8) 4 + (2 x 3) =
→ Parentheses: 2 x 3 = 6
→ Add: 4 + 6 = 10
---
9) 5 x 3 + 4 =
→ No parentheses, so do multiplication first: 5 x 3 = 15
→ Then add: 15 + 4 = 19
---
10) 5 + 3 x 4 =
→ Multiplication first: 3 x 4 = 12
→ Then add: 5 + 12 = 17
---
11) 10 ÷ 2 + 3 =
→ Division first: 10 ÷ 2 = 5
→ Then add: 5 + 3 = 8
---
12) 10 - 6 ÷ 2 =
→ Division first: 6 ÷ 2 = 3
→ Then subtract: 10 - 3 = 7
---
13) (4 + 7) x 3 =
→ Parentheses: 4 + 7 = 11
→ Multiply: 11 x 3 = 33
---
14) 4 + 7 x 3 =
→ Multiplication first: 7 x 3 = 21
→ Then add: 4 + 21 = 25
---
15) 10 - 3 x 2 =
→ Multiplication first: 3 x 2 = 6
→ Then subtract: 10 - 6 = 4
---
16) (10 - 3) x 2 =
→ Parentheses: 10 - 3 = 7
→ Multiply: 7 x 2 = 14
---
17) 5 + 2 x 4 =
→ Multiplication first: 2 x 4 = 8
→ Then add: 5 + 8 = 13
---
18) 7 x 2 - 5 =
→ Multiplication first: 7 x 2 = 14
→ Then subtract: 14 - 5 = 9
---
19) 14 - 3 x 3 =
→ Multiplication first: 3 x 3 = 9
→ Then subtract: 14 - 9 = 5
---
20) 8 + (3 x 5) =
→ Parentheses: 3 x 5 = 15
→ Add: 8 + 15 = 23
---
21) 6 x 3 - 7 =
→ Multiplication first: 6 x 3 = 18
→ Then subtract: 18 - 7 = 11
---
22) 12 ÷ 2 + 4 =
→ Division first: 12 ÷ 2 = 6
→ Then add: 6 + 4 = 10
---
23) 9 - 7 + 6 =
→ Left to right for addition/subtraction:
9 - 7 = 2
2 + 6 = 8
---
24) 9 - (7 + 6) =
→ Parentheses first: 7 + 6 = 13
→ Then subtract: 9 - 13 = -4
Wait — let me double-check that last one.
9 - (7 + 6)
= 9 - 13
= -4
Yes, that’s correct. Negative numbers are okay if they come up!
But let me check again — maybe I misread? The problem is “9 - (7 + 6)” — yes, parentheses mean we add 7 and 6 first → 13, then 9 minus 13 is indeed -4.
However, sometimes in elementary worksheets, negative answers might be unexpected — but mathematically it’s correct. Let me verify all steps once more quickly.
Actually, looking back at the worksheet layout — this is likely Grade 5 level (based on logo). Sometimes they avoid negatives... but the problem is written as is. We must follow math rules.
Alternatively — did I misread the problem? Let me recheck #24:
“24) 9 - (7 + 6) =”
Yes. So:
Step 1: Inside parentheses: 7 + 6 = 13
Step 2: 9 - 13 = -4
That’s correct.
But wait — perhaps there's a typo in my thinking? Let me calculate numerically:
7 + 6 = 13
9 - 13 = -4 → Yes.
Okay, I’ll keep it as -4 unless instructed otherwise. But since the user didn’t specify grade level restrictions, we go with correct math.
Actually — let me cross-verify with another approach: Is there any chance the expression was meant to be 9 - 7 + 6 without parentheses? No — it clearly has parentheses around (7+6).
So final answer for #24 is -4.
But hold on — let me check if any other problems could have similar issues.
Looking at #23: 9 - 7 + 6 → left to right: 2 + 6 = 8 → correct.
All others seem fine.
Now, compiling all answers:
1) 14
2) 10
3) 25
4) 17
5) 10
6) 2
7) 18
8) 10
9) 19
10) 17
11) 8
12) 7
13) 33
14) 25
15) 4
16) 14
17) 13
18) 9
19) 5
20) 23
21) 11
22) 10
23) 8
24) -4
I think that’s all.
Final Answer:
1) 14
2) 10
3) 25
4) 17
5) 10
6) 2
7) 18
8) 10
9) 19
10) 17
11) 8
12) 7
13) 33
14) 25
15) 4
16) 14
17) 13
18) 9
19) 5
20) 23
21) 11
22) 10
23) 8
24) -4
Parentheses → Exponents → Multiplication & Division (left to right) → Addition & Subtraction (left to right)
We’ll go one by one.
---
1) (4 + 3) x 2 =
→ Parentheses first: 4 + 3 = 7
→ Then multiply: 7 x 2 = 14 ✔ (already given)
---
2) 4 + (3 x 2) =
→ Parentheses: 3 x 2 = 6
→ Then add: 4 + 6 = 10
---
3) (2 + 3) x 5 =
→ Parentheses: 2 + 3 = 5
→ Multiply: 5 x 5 = 25
---
4) 2 + (3 x 5) =
→ Parentheses: 3 x 5 = 15
→ Add: 2 + 15 = 17
---
5) (8 - 3) x 2 =
→ Parentheses: 8 - 3 = 5
→ Multiply: 5 x 2 = 10
---
6) 8 - (3 x 2) =
→ Parentheses: 3 x 2 = 6
→ Subtract: 8 - 6 = 2
---
7) (4 + 2) x 3 =
→ Parentheses: 4 + 2 = 6
→ Multiply: 6 x 3 = 18
---
8) 4 + (2 x 3) =
→ Parentheses: 2 x 3 = 6
→ Add: 4 + 6 = 10
---
9) 5 x 3 + 4 =
→ No parentheses, so do multiplication first: 5 x 3 = 15
→ Then add: 15 + 4 = 19
---
10) 5 + 3 x 4 =
→ Multiplication first: 3 x 4 = 12
→ Then add: 5 + 12 = 17
---
11) 10 ÷ 2 + 3 =
→ Division first: 10 ÷ 2 = 5
→ Then add: 5 + 3 = 8
---
12) 10 - 6 ÷ 2 =
→ Division first: 6 ÷ 2 = 3
→ Then subtract: 10 - 3 = 7
---
13) (4 + 7) x 3 =
→ Parentheses: 4 + 7 = 11
→ Multiply: 11 x 3 = 33
---
14) 4 + 7 x 3 =
→ Multiplication first: 7 x 3 = 21
→ Then add: 4 + 21 = 25
---
15) 10 - 3 x 2 =
→ Multiplication first: 3 x 2 = 6
→ Then subtract: 10 - 6 = 4
---
16) (10 - 3) x 2 =
→ Parentheses: 10 - 3 = 7
→ Multiply: 7 x 2 = 14
---
17) 5 + 2 x 4 =
→ Multiplication first: 2 x 4 = 8
→ Then add: 5 + 8 = 13
---
18) 7 x 2 - 5 =
→ Multiplication first: 7 x 2 = 14
→ Then subtract: 14 - 5 = 9
---
19) 14 - 3 x 3 =
→ Multiplication first: 3 x 3 = 9
→ Then subtract: 14 - 9 = 5
---
20) 8 + (3 x 5) =
→ Parentheses: 3 x 5 = 15
→ Add: 8 + 15 = 23
---
21) 6 x 3 - 7 =
→ Multiplication first: 6 x 3 = 18
→ Then subtract: 18 - 7 = 11
---
22) 12 ÷ 2 + 4 =
→ Division first: 12 ÷ 2 = 6
→ Then add: 6 + 4 = 10
---
23) 9 - 7 + 6 =
→ Left to right for addition/subtraction:
9 - 7 = 2
2 + 6 = 8
---
24) 9 - (7 + 6) =
→ Parentheses first: 7 + 6 = 13
→ Then subtract: 9 - 13 = -4
Wait — let me double-check that last one.
9 - (7 + 6)
= 9 - 13
= -4
Yes, that’s correct. Negative numbers are okay if they come up!
But let me check again — maybe I misread? The problem is “9 - (7 + 6)” — yes, parentheses mean we add 7 and 6 first → 13, then 9 minus 13 is indeed -4.
However, sometimes in elementary worksheets, negative answers might be unexpected — but mathematically it’s correct. Let me verify all steps once more quickly.
Actually, looking back at the worksheet layout — this is likely Grade 5 level (based on logo). Sometimes they avoid negatives... but the problem is written as is. We must follow math rules.
Alternatively — did I misread the problem? Let me recheck #24:
“24) 9 - (7 + 6) =”
Yes. So:
Step 1: Inside parentheses: 7 + 6 = 13
Step 2: 9 - 13 = -4
That’s correct.
But wait — perhaps there's a typo in my thinking? Let me calculate numerically:
7 + 6 = 13
9 - 13 = -4 → Yes.
Okay, I’ll keep it as -4 unless instructed otherwise. But since the user didn’t specify grade level restrictions, we go with correct math.
Actually — let me cross-verify with another approach: Is there any chance the expression was meant to be 9 - 7 + 6 without parentheses? No — it clearly has parentheses around (7+6).
So final answer for #24 is -4.
But hold on — let me check if any other problems could have similar issues.
Looking at #23: 9 - 7 + 6 → left to right: 2 + 6 = 8 → correct.
All others seem fine.
Now, compiling all answers:
1) 14
2) 10
3) 25
4) 17
5) 10
6) 2
7) 18
8) 10
9) 19
10) 17
11) 8
12) 7
13) 33
14) 25
15) 4
16) 14
17) 13
18) 9
19) 5
20) 23
21) 11
22) 10
23) 8
24) -4
I think that’s all.
Final Answer:
1) 14
2) 10
3) 25
4) 17
5) 10
6) 2
7) 18
8) 10
9) 19
10) 17
11) 8
12) 7
13) 33
14) 25
15) 4
16) 14
17) 13
18) 9
19) 5
20) 23
21) 11
22) 10
23) 8
24) -4
Parent Tip: Review the logic above to help your child master the concept of 5th grade math worksheet order of operations.
