# Distributive Property Worksheet Pdf

# Distributive Property Worksheet

Here are 20 questions related to the distributive property, along with their answers:

****Questions:****

- What is the distributive property in mathematics?
- Use the distributive property to simplify: 3(4x + 2).
- Simplify the expression: 2(3x – 5).
- Apply the distributive property to simplify: 5(2a + 3b).
- Simplify: 4(2x – 7).
- Expand the expression: 6(2x + 4).
- Use the distributive property to simplify: 8(x + 2y).
- Simplify: 3(5a – 2b).
- Expand the expression: 7(3x – 2y).
- What is the distributive property often called in multiplication?
- Simplify: 9(2a + 3b – c).
- Apply the distributive property to simplify: 4(2x + 5) – 3(3x – 2).
- Use the distributive property to simplify: 2(x – 3) + 4(2x + 1).
- Simplify: 5(4a – 2b) + 3(2a + 7b).
- Expand the expression: 2(3x – 4y) – 6(2x + y).
- Simplify: 7(2x – 3y) + 2(4x + 5y).
- Apply the distributive property to simplify: 3(2x – y) + 6(x + 4y).
- Use the distributive property to simplify: 4(3x – 2) – 2(2x + 1).
- Simplify: 6(2a + 3b) – 2(4a – 5b).
- Expand the expression: 5(3x – 2y) – 2(4x – y).

****Answers:****

- The distributive property in mathematics states that multiplication distributes over addition or subtraction, which means you can multiply each term inside parentheses by a common factor outside the parentheses.
- 12x + 6
- 6x – 10
- 10a + 15b
- 8x – 28
- 12x + 24
- 8x + 16y
- 15a – 6b
- 21x – 14y
- The distributive property is often called “the distributive property of multiplication over addition (or subtraction).”
- 18a + 27b – 9c
- 8x + 20 – 9x + 6
- 2x – 6 + 8x + 4
- 20a + 35b
- 6x – y – 12x – 6y
- 14x – 21y + 8x + 10y
- 6x – 3y + 6x + 24y
- 12x – 8 – 4x – 2
- 12a + 18b – 8a + 10b
- 15x – 10y – 8x + 2y

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