Combining Like Terms Worksheet 6th Grade | Twinkl USA - Free Printable

It looks like you've uploaded an image of a worksheet titled "Combining Like Terms", which uses icons and symbols (like cupcakes, stars, apples, etc.) to represent variables in algebraic expressions. The goal is to combine like terms — that is, add or subtract terms that have the same variable (or symbol) — just as we do in algebra.

Let’s solve each problem step by step, using the icons as placeholders for variables.

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🔹 Left Worksheet (Black & White)

We'll interpret each icon as a variable:

- 🍪 = x
- 🍎 = y
- ⭐ = z
- 🍕 = w
- 🌟 = v
- 🍒 = u
- 🍓 = t

But actually, since these are visual representations, we can treat each icon as a variable. For example:

- 🍪 + 4🍪 = ?
- This is like: x + 4x = 5x → so answer is 5🍪

Let's go through each one:

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#### Left Worksheet – Solutions

1. 🍪 + 4🍪 =
→ 1🍪 + 4🍪 = 5🍪

2. 6🍎 - 🍎 =
→ 6🍎 - 1🍎 = 5🍎

3. 3⭐ + 5🌟 + ⭐ =
→ Combine ⭐ terms: 3⭐ + ⭐ = 4⭐
→ So: 4⭐ + 5🌟

4. 3🌟 + 6⭐ =
→ Different icons → cannot combine
→ 3🌟 + 6⭐

5. 8🍒 + 11🍒 =
→ 8🍒 + 11🍒 = 19🍒

6. 12🍓 - 8🍓 + 3🍓 =
→ (12 - 8 + 3)🍓 = 7🍓

7. 8🍕 + 8🍕 - 2🍕 =
→ (8 + 8 - 2)🍕 = 14🍕

8. 6🍉 - 🍉 + 2🍉 =
→ (6 - 1 + 2)🍉 = 7🍉

9. 7🍊 - 3🍊 - 4🍊 =
→ (7 - 3 - 4)🍊 = 0🍊 → or just 0

10. 3🍒 + (-2)🍒 + 4🍒 =
→ (3 - 2 + 4)🍒 = 5🍒

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🔹 Right Worksheet (Color Version)

Same logic applies. Let’s solve it too.

1. 🥤 + 4🥤 =
→ 1🥤 + 4🥤 = 5🥤

2. 6🚗 - 🚗 =
→ 6🚗 - 1🚗 = 5🚗

3. 3☕ + 5🥤 + ☕ =
→ Combine ☕: 3☕ + ☕ = 4☕
→ So: 4☕ + 5🥤

4. 3🌟 + 6✨ - ✨ =
→ 6✨ - 1✨ = 5✨
→ So: 3🌟 + 5✨

5. 8🎈 + 11🎈 - 🎈 =
→ (8 + 11 - 1)🎈 = 18🎈

6. 12❤️ - 8❤️ + 3❤️ =
→ (12 - 8 + 3)❤️ = 7❤️

7. 8⚽ + 8⚽ - 2⚽ =
→ (8 + 8 - 2)⚽ = 14⚽

8. 6🎮 - 🎮 + 2🎮 =
→ (6 - 1 + 2)🎮 = 7🎮

9. 7🎯 - 3🎯 - 4🎯 =
→ (7 - 3 - 4)🎯 = 0🎯 → or 0

10. 3🍒 + (-2)🍒 + 4🍒 =
→ Same as left: (3 - 2 + 4)🍒 = 5🍒

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✔ Final Answers Summary

| Problem | Answer |
|--------|--------|
| 1. 🍪 + 4🍪 | 5🍪 |
| 2. 6🍎 - 🍎 | 5🍎 |
| 3. 3⭐ + 5🌟 + ⭐ | 4⭐ + 5🌟 |
| 4. 3🌟 + 6⭐ | 3🌟 + 6⭐ |
| 5. 8🍒 + 11🍒 | 19🍒 |
| 6. 12🍓 - 8🍓 + 3🍓 | 7🍓 |
| 7. 8🍕 + 8🍕 - 2🍕 | 14🍕 |
| 8. 6🍉 - 🍉 + 2🍉 | 7🍉 |
| 9. 7🍊 - 3🍊 - 4🍊 | 0 |
| 10. 3🍒 + (-2)🍒 + 4🍒 | 5🍒 |

And for the right side (same pattern):

| Problem | Answer |
|--------|--------|
| 1. 🥤 + 4🥤 | 5🥤 |
| 2. 6🚗 - 🚗 | 5🚗 |
| 3. 3☕ + 5🥤 + ☕ | 4☕ + 5🥤 |
| 4. 3🌟 + 6✨ - ✨ | 3🌟 + 5✨ |
| 5. 8🎈 + 11🎈 - 🎈 | 18🎈 |
| 6. 12❤️ - 8❤️ + 3❤️ | 7❤️ |
| 7. 8⚽ + 8⚽ - 2⚽ | 14⚽ |
| 8. 6🎮 - 🎮 + 2🎮 | 7🎮 |
| 9. 7🎯 - 3🎯 - 4🎯 | 0 |
| 10. 3🍒 + (-2)🍒 + 4🍒 | 5🍒 |

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💡 Explanation: What Is "Combining Like Terms"?

In algebra, like terms are terms that have the same variable raised to the same power. For example:
- 3x and 5x are like terms → can be combined: 8x
- 3x and 5y are not like terms → cannot combine

Here, the icons represent variables. So:
- All 🍪 terms are like terms
- 🍎 and 🍏 are different → not like terms

So, when you see:
> 6🍎 - 🍎

You’re doing: 6a - a = 5a → 5🍎

This visual method helps students understand combining like terms without getting distracted by letters.

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✔ Conclusion: This worksheet teaches combining like terms using fun visuals. The key is to add or subtract only the coefficients of the same icon.

Let me know if you'd like a printable version or want to convert this into actual algebra problems!