Sure! Let’s solve each algebraic expression by substituting the given value for the variable and simplifying step by step.
---
1. Evaluate `6w - 8`, if `w = 6`
Substitute `w = 6`:
→ `6 × 6 - 8 = 36 - 8 = 28`
✔ Answer: 28
---
2. Evaluate `7n - 2`, if `n = 8`
Substitute `n = 8`:
→ `7 × 8 - 2 = 56 - 2 = 54`
✔ Answer: 54
---
3. Evaluate `5c - 3`, if `c = 7`
Substitute `c = 7`:
→ `5 × 7 - 3 = 35 - 3 = 32`
✔ Answer: 32
---
4. Evaluate `4r + 9`, if `r = 3`
Substitute `r = 3`:
→ `4 × 3 + 9 = 12 + 9 = 21`
✔ Answer: 21
---
5. Evaluate `8 + 3z`, if `z = 2`
Substitute `z = 2`:
→ `8 + 3 × 2 = 8 + 6 = 14`
✔ Answer: 14
---
6. Evaluate `15/d - 2`, if `d = 5`
Substitute `d = 5`:
→ `15 ÷ 5 - 2 = 3 - 2 = 1`
✔ Answer: 1
---
7. Evaluate `8c + 6`, if `c = 3`
Substitute `c = 3`:
→ `8 × 3 + 6 = 24 + 6 = 30`
✔ Answer: 30
---
8. Evaluate `7 + 3s`, if `s = 4`
Substitute `s = 4`:
→ `7 + 3 × 4 = 7 + 12 = 19`
✔ Answer: 19
---
9. Evaluate `9 - 2h`, if `h = 4`
Substitute `h = 4`:
→ `9 - 2 × 4 = 9 - 8 = 1`
✔ Answer: 1
---
10. Evaluate `19 - 21/h`, if `h = 3`
Substitute `h = 3`:
→ `19 - 21 ÷ 3 = 19 - 7 = 12`
✔ Answer: 12
---
✔ Final Answers (in order):
1.
28
2.
54
3.
32
4.
21
5.
14
6.
1
7.
30
8.
19
9.
1
10.
12
Let me know if you’d like to see these written out in a worksheet format or need explanations for any specific step!
Parent Tip: Review the logic above to help your child master the concept of algebraic expressions worksheet.
