Sure! Let’s evaluate each expression
step by step, following the
order of operations (PEMDAS/BODMAS):
>
Parentheses /
Brackets
>
Exponents /
Orders
>
Multiplication and
Division (left to right)
>
Addition and
Subtraction (left to right)
---
13) 7 + 10 × 5 + 10
- Multiply first: `10 × 5 = 50`
- Now: `7 + 50 + 10`
- Add left to right: `7 + 50 = 57`, then `57 + 10 = 67`
✔ Answer: 67
---
14) (6 + 25 − 7) ÷ 6
- Inside parentheses: `6 + 25 = 31`, then `31 − 7 = 24`
- Now: `24 ÷ 6 = 4`
✔ Answer: 4
---
15) (6 − 4) × 49 ÷ 7
- Parentheses: `6 − 4 = 2`
- Now: `2 × 49 ÷ 7`
- Left to right: `2 × 49 = 98`, then `98 ÷ 7 = 14`
✔ Answer: 14
---
16) (7 × 5) ÷ 5
- Parentheses: `7 × 5 = 35`
- Then: `35 ÷ 5 = 7`
✔ Answer: 7
---
17) (43 − 1)/(4 + 2) + 10
- Numerator: `43 − 1 = 42`
- Denominator: `4 + 2 = 6`
- So: `42 ÷ 6 = 7`
- Then: `7 + 10 = 17`
✔ Answer: 17
---
18) (8 + 5) × 35/5 + 6
- Parentheses: `8 + 5 = 13`
- Fraction: `35 ÷ 5 = 7`
- Now: `13 × 7 = 91`
- Then: `91 + 6 = 97`
✔ Answer: 97
---
19) 27/(2 + 3 + 4) + 3
- Denominator: `2 + 3 + 4 = 9`
- So: `27 ÷ 9 = 3`
- Then: `3 + 3 = 6`
✔ Answer: 6
---
20) 45/[8(5 − 4) − 3]
- Inside inner parentheses: `5 − 4 = 1`
- Multiply: `8 × 1 = 8`
- Subtract: `8 − 3 = 5`
- Now: `45 ÷ 5 = 9`
✔ Answer: 9
---
21) 8 × 15/5 − (5 + 9)
- Fraction: `15 ÷ 5 = 3`
- Multiply: `8 × 3 = 24`
- Parentheses: `5 + 9 = 14`
- Subtract: `24 − 14 = 10`
✔ Answer: 10
---
22) 2 × 7 − 10/(9 − 4)
- Multiply: `2 × 7 = 14`
- Denominator: `9 − 4 = 5`
- Fraction: `10 ÷ 5 = 2`
- Subtract: `14 − 2 = 12`
✔ Answer: 12
---
23) (10 + 2 − 2) × 6 − 1
- Inside parentheses: `10 + 2 = 12`, then `12 − 2 = 10`
- Multiply: `10 × 6 = 60`
- Subtract: `60 − 1 = 59`
✔ Answer: 59
---
24) 49/7 × 60/(2 × 5)
- First fraction: `49 ÷ 7 = 7`
- Denominator: `2 × 5 = 10`
- Second fraction: `60 ÷ 10 = 6`
- Multiply: `7 × 6 = 42`
✔ Answer: 42
---
25) (2 + 6 × 2 + 2 − 4) × 2
- Inside parentheses: do multiplication first → `6 × 2 = 12`
- Now: `2 + 12 + 2 − 4`
- Left to right: `2 + 12 = 14`, `14 + 2 = 16`, `16 − 4 = 12`
- Multiply by 2: `12 × 2 = 24`
✔ Answer: 24
---
26) 8/(5 − 1) × (3 + 6) × 3
- Denominator: `5 − 1 = 4` → `8 ÷ 4 = 2`
- Parentheses: `3 + 6 = 9`
- Now: `2 × 9 × 3`
- Left to right: `2 × 9 = 18`, then `18 × 3 = 54`
✔ Answer: 54
---
##
✔ Final Answers:
13)
67
14)
4
15)
14
16)
7
17)
17
18)
97
19)
6
20)
9
21)
10
22)
12
23)
59
24)
42
25)
24
26)
54
Let me know if you’d like a visual breakdown or worksheet version!
Parent Tip: Review the logic above to help your child master the concept of algebra review worksheet.