Combining Like Terms math worksheet with eight algebraic expressions to simplify.

Absolutely! Let’s solve each problem step by step by combining like terms. “Like terms” are terms that have the same variable raised to the same power (or are just constants). We can add or subtract their coefficients.

---

#1: -7 + 13x + 2x + 8

- Combine the x terms: 13x + 2x = 15x
- Combine the constants: -7 + 8 = 1
✔ Final Answer: 15x + 1

---

#2: 9 + 7y - 2 - 5y

- Combine the y terms: 7y - 5y = 2y
- Combine the constants: 9 - 2 = 7
✔ Final Answer: 2y + 7

---

#3: 2 + 3x - 4x + 6

- Combine the x terms: 3x - 4x = -x
- Combine the constants: 2 + 6 = 8
✔ Final Answer: -x + 8 (or 8 - x)

---

#4: 5 + 2x + 2

- Combine the constants: 5 + 2 = 7
- The x term is just 2x (no other x terms)
✔ Final Answer: 2x + 7

---

#5: 2(4x - 1) + x

- First, distribute the 2:
→ 2 * 4x = 8x
→ 2 * (-1) = -2
So we get: 8x - 2 + x
- Now combine like terms:
→ 8x + x = 9x
→ Constant: -2
✔ Final Answer: 9x - 2

---

#6: 6x + 2(x + 4)

- First, distribute the 2:
→ 2 * x = 2x
→ 2 * 4 = 8
So we get: 6x + 2x + 8
- Combine like terms:
→ 6x + 2x = 8x
→ Constant: 8
✔ Final Answer: 8x + 8

---

#7: 3(x + 5) - 10

- First, distribute the 3:
→ 3 * x = 3x
→ 3 * 5 = 15
So we get: 3x + 15 - 10
- Combine constants: 15 - 10 = 5
✔ Final Answer: 3x + 5

---

#8: 15x - (x - 4)

- First, distribute the minus sign (which is like multiplying by -1):
→ -(x - 4) = -x + 4
So we get: 15x - x + 4
- Combine like terms:
→ 15x - x = 14x
→ Constant: +4
✔ Final Answer: 14x + 4

---

## ✔ Final Answers Summary:

1. 15x + 1
2. 2y + 7
3. -x + 8
4. 2x + 7
5. 9x - 2
6. 8x + 8
7. 3x + 5
8. 14x + 4

Let me know if you’d like to see these explained with visuals or more examples!