Combining Like Terms worksheet for algebra practice.

Sure! Let’s solve each problem by combining like terms.

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🔍 What are “like terms”?

Like terms are terms that have the same variable raised to the same power. You can add or subtract their coefficients (the numbers in front).

Examples:
- `8n` and `-n` → both have `n` → like terms
- `4r` and `-5r` → both have `r` → like terms
- Constants (numbers with no variable) are also like terms with each other.

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Let’s go one by one:

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1) `8n - n`

- Both terms have `n`
- Coefficients: 8 and -1 (since `-n = -1n`)
- Combine: `8 - 1 = 7`
✔ Answer: `7n`

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2) `-6 + 8n + 9 - 7n`

Group like terms:
- Variables: `8n - 7n = 1n = n`
- Constants: `-6 + 9 = 3`
✔ Answer: `n + 3`

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3) `c + 3c`

- Both have `c`
- Coefficients: 1 and 3 → `1 + 3 = 4`
✔ Answer: `4c`

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4) `4r - 5r`

- Both have `r`
- `4 - 5 = -1`
✔ Answer: `-r`

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5) `3p + p`

- `p` is the same as `1p`
- `3 + 1 = 4`
✔ Answer: `4p`

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6) `9r + 3r + 4`

- `9r + 3r = 12r`
- Constant `+4` stays as is
✔ Answer: `12r + 4`

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7) `4z + 9 + 5z - 2`

Group:
- Variables: `4z + 5z = 9z`
- Constants: `9 - 2 = 7`
✔ Answer: `9z + 7`

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8) `5 - 4m - 9`

Group constants: `5 - 9 = -4`
Variable: `-4m`
✔ Answer: `-4m - 4`

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9) `7 + 4s + 9`

Constants: `7 + 9 = 16`
Variable: `4s`
✔ Answer: `4s + 16`

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10) `-7n + 8 + 6 + 2n`

Group:
- Variables: `-7n + 2n = -5n`
- Constants: `8 + 6 = 14`
✔ Answer: `-5n + 14`

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## ✔ 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`

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Let me know if you’d like to see these explained visually or with step-by-step boxes! 😊