Sure! Let’s solve each problem step by step. The goal is to
combine like terms — that means adding or subtracting terms that have the same variable and exponent.
---
1) `8n - n`
- Both terms have the variable `n`.
- Think of it as: `8n - 1n = (8 - 1)n = 7n`
✔ Answer: `7n`
---
2) `-6 + 8n + 9 - 7n`
- Group like terms:
- Variables: `8n - 7n = 1n = n`
- Constants: `-6 + 9 = 3`
- Combine: `n + 3`
✔ Answer: `n + 3`
---
3) `c + 3c`
- Both are `c` terms.
- `1c + 3c = 4c`
✔ Answer: `4c`
---
4) `4r - 5r`
- Both are `r` terms.
- `4r - 5r = -1r = -r`
✔ Answer: `-r`
---
5) `3p + p`
- `p` is the same as `1p`
- `3p + 1p = 4p`
✔ Answer: `4p`
---
6) `9r + 3r + 4`
- Combine `r` terms: `9r + 3r = 12r`
- Constant `+4` stays as is.
✔ Answer: `12r + 4`
---
7) `4z + 9 + 5z - 2`
- Group `z` terms: `4z + 5z = 9z`
- Constants: `9 - 2 = 7`
- Combine: `9z + 7`
✔ Answer: `9z + 7`
---
8) `5 - 4m - 9`
- Group constants: `5 - 9 = -4`
- Variable term: `-4m`
- Write in standard form (variable first): `-4m - 4`
✔ Answer: `-4m - 4`
---
9) `7 + 4s + 9`
- Constants: `7 + 9 = 16`
- Variable: `4s`
- Combine: `4s + 16`
✔ Answer: `4s + 16`
---
10) `-7n + 8 + 6 + 2n`
- Group `n` terms: `-7n + 2n = -5n`
- Constants: `8 + 6 = 14`
- Combine: `-5n + 14`
✔ Answer: `-5n + 14`
---
##
✔ Final Answers:
1) `7n`
2) `n + 3`
3) `4c`
4) `-r`
5) `4p`
6) `12r + 4`
7) `9z + 7`
8) `-4m - 4`
9) `4s + 16`
10) `-5n + 14`
Let me know if you’d like a printable version or more practice problems!
Parent Tip: Review the logic above to help your child master the concept of simplify each expression algebra 1 worksheet.
