Let’s solve each problem step by step. We’ll combine like terms — that means adding or subtracting terms that have the same variable (like x, y, a, b, etc.) and the same power (like p², ab², etc.).
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Easy Level:
1.
3x + 2y + 5x
→ Combine x terms: 3x + 5x = 8x
→ y term stays: 2y
✔ Final:
8x + 2y
2.
7p - 3q - 2p + 5q
→ p terms: 7p - 2p = 5p
→ q terms: -3q + 5q = 2q
✔ Final:
5p + 2q
3.
4a - 2b + 2a + 3b
→ a terms: 4a + 2a = 6a
→ b terms: -2b + 3b = 1b (or just b)
✔ Final:
6a + b
4.
6x + 2y + 3x - 4y
→ x terms: 6x + 3x = 9x
→ y terms: 2y - 4y = -2y
✔ Final:
9x - 2y
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Medium Level:
1.
3a + 2b - 4a + 5b
→ a terms: 3a - 4a = -1a (or -a)
→ b terms: 2b + 5b = 7b
✔ Final:
-a + 7b
2.
4x + 2y + 3x - y
→ x terms: 4x + 3x = 7x
→ y terms: 2y - y = 1y (or y)
✔ Final:
7x + y
3.
5m - 2n + 3m + 2n
→ m terms: 5m + 3m = 8m
→ n terms: -2n + 2n = 0 → they cancel out!
✔ Final:
8m
4.
8c - 2d + 4c - 3d
→ c terms: 8c + 4c = 12c
→ d terms: -2d - 3d = -5d
✔ Final:
12c - 5d
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Hard Level:
1.
2x + 3y - 4x + 5y - 3z
→ x terms: 2x - 4x = -2x
→ y terms: 3y + 5y = 8y
→ z term: -3z (no other z to combine with)
✔ Final:
-2x + 8y - 3z
2.
5a² + 2b - 3a² - 6b
→ a² terms: 5a² - 3a² = 2a²
→ b terms: 2b - 6b = -4b
✔ Final:
2a² - 4b
3.
4p³ + 3q - 2p³ + 5q
→ p³ terms: 4p³ - 2p³ = 2p³
→ q terms: 3q + 5q = 8q
✔ Final:
2p³ + 8q
4.
6ab² - 3bc² + 5ab² + 4bc²
→ ab² terms: 6ab² + 5ab² = 11ab²
→ bc² terms: -3bc² + 4bc² = 1bc² (or just bc²)
✔ Final:
11ab² + bc²
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Final Answer:
Easy:
1. 8x + 2y
2. 5p + 2q
3. 6a + b
4. 9x - 2y
Medium:
1. -a + 7b
2. 7x + y
3. 8m
4. 12c - 5d
Hard:
1. -2x + 8y - 3z
2. 2a² - 4b
3. 2p³ + 8q
4. 11ab² + bc²
Parent Tip: Review the logic above to help your child master the concept of combining like terms practice worksheet.
![Combining Like Terms Worksheets [PDF] (7.EE.A.1): 7th Grade Math](/images2/combining-like-terms-practice-worksheet/combining-like-terms-practice-worksheet-23.png)
