Let's solve each expression step by step using the
order of operations, often remembered by the acronym
PEMDAS:
-
Parentheses
-
Exponents
-
Multiplication and
Division (from left to right)
-
Addition and
Subtraction (from left to right)
We'll go through each problem one by one.
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1) 14 – 2 × 5
- Multiplication first: 2 × 5 = 10
- Then subtraction: 14 – 10 =
4
✔ Answer:
A
---
2) 3 × 4 – 2 × 5
- Multiplications: 3 × 4 = 12, 2 × 5 = 10
- Then subtraction: 12 – 10 =
2
✔ Answer:
B
---
3) 2 + 3 × 4 + 5
- Multiplication: 3 × 4 = 12
- Now: 2 + 12 + 5 =
19
✔ Answer:
B
---
4) 24 – 7 × 3 + 1
- Multiplication: 7 × 3 = 21
- Now: 24 – 21 + 1 = 3 + 1 =
4
✔ Answer:
A
---
5) 20 ÷ 2 + 3
- Division: 20 ÷ 2 = 10
- Then addition: 10 + 3 =
13
✔ Answer:
C
---
6) 15 + 4 × 10 – 5
- Multiplication: 4 × 10 = 40
- Now: 15 + 40 – 5 = 55 – 5 =
50
✔ Answer:
B
---
7) 10 – 7 + 3 × 2
- Multiplication: 3 × 2 = 6
- Now: 10 – 7 + 6 = 3 + 6 =
9
✔ Answer:
A
---
8) 2 + 9 ÷ 3 + 6
- Division: 9 ÷ 3 = 3
- Now: 2 + 3 + 6 =
11
✔ Answer:
C
---
9) 20 – 3 × 4 ÷ 2
- Multiplication and division from left to right:
- 3 × 4 = 12
- 12 ÷ 2 = 6
- Now: 20 – 6 =
14
✔ Answer:
A
---
10) 30 ÷ 5 × 3 + 6
- Division and multiplication left to right:
- 30 ÷ 5 = 6
- 6 × 3 = 18
- Then: 18 + 6 =
24
✔ Answer:
C
---
11) 3 × (9 – 5) + 6
- Parentheses: 9 – 5 = 4
- Multiplication: 3 × 4 = 12
- Addition: 12 + 6 =
18
✔ Answer:
B
---
12) 4 × (6 – 3) × 5
- Parentheses: 6 – 3 = 3
- Now: 4 × 3 = 12
- Then: 12 × 5 =
60
✔ Answer:
C
---
13) 12 – (3 + 4 × 2)
- Inside parentheses: 4 × 2 = 8 → 3 + 8 = 11
- Now: 12 – 11 =
1
✔ Answer:
A
---
14) (7 + 3) × (12 – 5)
- Parentheses: 7 + 3 = 10, 12 – 5 = 7
- Multiply: 10 × 7 =
70
✔ Answer:
B
---
15) 18 + 12 ÷ (15 – 11)
- Parentheses: 15 – 11 = 4
- Division: 12 ÷ 4 = 3
- Addition: 18 + 3 =
21
✔ Answer:
A
---
16) ½ × (4 + 5 – 3)
- Parentheses: 4 + 5 – 3 = 6
- Multiplication: ½ × 6 =
3
✔ Answer:
B
---
17) 4 × 5 – 12 ÷ 2
- Multiplication: 4 × 5 = 20
- Division: 12 ÷ 2 = 6
- Subtraction: 20 – 6 =
14
✔ Answer:
C
---
18) 8 + 20 ÷ 4 + 6
- Division: 20 ÷ 4 = 5
- Now: 8 + 5 + 6 =
19
✔ Answer:
C
---
19) 3 × (12 – 5 × 2)
- Inside parentheses: 5 × 2 = 10 → 12 – 10 = 2
- Then: 3 × 2 =
6
✔ Answer:
A
---
20) (30 – 12) ÷ (9 – 3)
- Parentheses: 30 – 12 = 18, 9 – 3 = 6
- Division: 18 ÷ 6 =
3
✔ Answer:
B
---
✔ Final Answers:
| Problem | Correct Answer |
|--------|----------------|
| 1 | A |
| 2 | B |
| 3 | B |
| 4 | A |
| 5 | C |
| 6 | B |
| 7 | A |
| 8 | C |
| 9 | A |
| 10 | C |
| 11 | B |
| 12 | C |
| 13 | A |
| 14 | B |
| 15 | A |
| 16 | B |
| 17 | C |
| 18 | C |
| 19 | A |
| 20 | B |
You can now circle the correct letters accordingly on your worksheet. Let me know if you'd like a printable version or explanation for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of easy pemdas worksheet.
