Distributive Property Worksheet

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

**Questions:**

1. What is the distributive property in mathematics?
2. Use the distributive property to simplify: 3(4x + 2).
3. Simplify the expression: 2(3x – 5).
4. Apply the distributive property to simplify: 5(2a + 3b).
5. Simplify: 4(2x – 7).
6. Expand the expression: 6(2x + 4).
7. Use the distributive property to simplify: 8(x + 2y).
8. Simplify: 3(5a – 2b).
9. Expand the expression: 7(3x – 2y).
10. What is the distributive property often called in multiplication?
11. Simplify: 9(2a + 3b – c).
12. Apply the distributive property to simplify: 4(2x + 5) – 3(3x – 2).
13. Use the distributive property to simplify: 2(x – 3) + 4(2x + 1).
14. Simplify: 5(4a – 2b) + 3(2a + 7b).
15. Expand the expression: 2(3x – 4y) – 6(2x + y).
16. Simplify: 7(2x – 3y) + 2(4x + 5y).
17. Apply the distributive property to simplify: 3(2x – y) + 6(x + 4y).
18. Use the distributive property to simplify: 4(3x – 2) – 2(2x + 1).
19. Simplify: 6(2a + 3b) – 2(4a – 5b).
20. Expand the expression: 5(3x – 2y) – 2(4x – y).

**Answers:**

1. 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.
2. 12x + 6
3. 6x – 10
4. 10a + 15b
5. 8x – 28
6. 12x + 24
7. 8x + 16y
8. 15a – 6b
9. 21x – 14y
10. The distributive property is often called “the distributive property of multiplication over addition (or subtraction).”
11. 18a + 27b – 9c
12. 8x + 20 – 9x + 6
13. 2x – 6 + 8x + 4
14. 20a + 35b
15. 6x – y – 12x – 6y
16. 14x – 21y + 8x + 10y
17. 6x – 3y + 6x + 24y
18. 12x – 8 – 4x – 2
19. 12a + 18b – 8a + 10b
20. 15x – 10y – 8x + 2y

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