Let's solve each problem 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)
---
1. (25 + 5) × 3 - 13
- First: Parentheses → (25 + 5) = 30
- Then: Multiplication → 30 × 3 = 90
- Then: Subtraction → 90 - 13 =
77
✔ Answer: 77
---
2. 19 + 12 × 2 - 4
- First: Multiplication → 12 × 2 = 24
- Now: 19 + 24 - 4
- Left to right: 19 + 24 = 43, then 43 - 4 =
39
✔ Answer: 39
---
3. 42 + 32 ÷ 4
- First: Division → 32 ÷ 4 = 8
- Then: Addition → 42 + 8 =
50
✔ Answer: 50
---
4. 12 + 34 × 2 ÷ 2
- First: Multiplication and Division (left to right)
- 34 × 2 = 68
- 68 ÷ 2 = 34
- Then: Addition → 12 + 34 =
46
✔ Answer: 46
---
5. (4 + 3) × (2 + 5)
- First: Parentheses
- (4 + 3) = 7
- (2 + 5) = 7
- Then: Multiplication → 7 × 7 =
49
✔ Answer: 49
---
6. 2 + 14 × 5 - 5
- First: Multiplication → 14 × 5 = 70
- Now: 2 + 70 - 5
- Left to right: 2 + 70 = 72, then 72 - 5 =
67
✔ Answer: 67
---
7. 22 + 4 × 5 - 13
- First: Multiplication → 4 × 5 = 20
- Now: 22 + 20 - 13
- Left to right: 22 + 20 = 42, then 42 - 13 =
29
✔ Answer: 29
---
8. 13 - 42 ÷ 7 + 2
- First: Division → 42 ÷ 7 = 6
- Now: 13 - 6 + 2
- Left to right: 13 - 6 = 7, then 7 + 2 =
9
✔ Answer: 9
---
9. 15 + 2 - 14 ÷ 7
- First: Division → 14 ÷ 7 = 2
- Now: 15 + 2 - 2
- Left to right: 15 + 2 = 17, then 17 - 2 =
15
✔ Answer: 15
---
10. (18 - 7) × 2
- First: Parentheses → 18 - 7 = 11
- Then: Multiplication → 11 × 2 =
22
✔ Answer: 22
---
✔ Final Answers:
1.
77
2.
39
3.
50
4.
46
5.
49
6.
67
7.
29
8.
9
9.
15
10.
22
Let me know if you'd like this formatted as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of 6th grade order of operations with exponents worksheet.
