Free custom combining like terms worksheet templates - Free Printable

Let's solve each problem by combining like terms. Like terms are terms that have the same variables raised to the same powers. We combine them by adding or subtracting their coefficients.

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🔷 Easy

#### 1. $ 3x + 2y + 5x $
- Like terms: $3x$ and $5x$
- Combine: $3x + 5x = 8x$
- $2y$ remains
- ✔ Answer: $8x + 2y$

#### 2. $7p - 3q - 2p + 5q$
- Like terms:
- $7p - 2p = 5p$
- $-3q + 5q = 2q$
- ✔ Answer: $5p + 2q$

#### 3. $4a - 2b + 2a + 3b$
- Like terms:
- $4a + 2a = 6a$
- $-2b + 3b = b$
- ✔ Answer: $6a + b$

#### 4. $6x + 2y + 3x - 4y$
- Like terms:
- $6x + 3x = 9x$
- $2y - 4y = -2y$
- ✔ Answer: $9x - 2y$

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🔷 Medium

#### 1. $3a + 2b - 4a + 5b$
- Like terms:
- $3a - 4a = -a$
- $2b + 5b = 7b$
- ✔ Answer: $-a + 7b$

#### 2. $4x + 2y + 3x - y$
- Like terms:
- $4x + 3x = 7x$
- $2y - y = y$
- ✔ Answer: $7x + y$

#### 3. $5m - 2n + 3m + 2n$
- Like terms:
- $5m + 3m = 8m$
- $-2n + 2n = 0$
- ✔ Answer: $8m$

#### 4. $8c - 2d + 4c - 3d$
- Like terms:
- $8c + 4c = 12c$
- $-2d - 3d = -5d$
- ✔ Answer: $12c - 5d$

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🔷 Hard

#### 1. $2x + 3y - 4x + 5y - 3z$
- Like terms:
- $2x - 4x = -2x$
- $3y + 5y = 8y$
- $-3z$ remains
- ✔ Answer: $-2x + 8y - 3z$

#### 2. $5a^2 + 2b - 3a^2 - 6b$
- Like terms:
- $5a^2 - 3a^2 = 2a^2$
- $2b - 6b = -4b$
- ✔ Answer: $2a^2 - 4b$

#### 3. $4p^3 + 3q - 2p^3 + 5q$
- Like terms:
- $4p^3 - 2p^3 = 2p^3$
- $3q + 5q = 8q$
- ✔ Answer: $2p^3 + 8q$

#### 4. $6ab^2 - 3bc^2 + 5ab^2 + 4bc^2$
- Like terms:
- $6ab^2 + 5ab^2 = 11ab^2$
- $-3bc^2 + 4bc^2 = bc^2$
- ✔ Answer: $11ab^2 + bc^2$

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✔ Final Answers:

#### 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. $2a^2 - 4b$
3. $2p^3 + 8q$
4. $11ab^2 + bc^2$

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Let me know if you'd like a step-by-step explanation for any specific one!