This worksheet provides ten practice problems for students to rewrite and solve expressions using the distributive property of multiplication.

Let's solve each problem on the Distributive Property Worksheet step by step.

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🔷 Distributive Property of Multiplication:

The distributive property states:
> $ a \times (b + c) = (a \times b) + (a \times c) $

We'll apply this rule to each expression, rewrite it using the distributive property, and then simplify.

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✔ Problem 1: $ 2 \times (7 + 4) $

- Distribute: $ 2 \times 7 + 2 \times 4 $
- Calculate: $ 14 + 8 = 22 $
- ✔ Answer: $ 2 \times 7 + 2 \times 4 = 22 $

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✔ Problem 2: $ 6 \times (9 + 2) $

- Distribute: $ 6 \times 9 + 6 \times 2 $
- Calculate: $ 54 + 12 = 66 $
- ✔ Answer: $ 6 \times 9 + 6 \times 2 = 66 $

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✔ Problem 3: $ 9 \times (9 + 5) $

- Distribute: $ 9 \times 9 + 9 \times 5 $
- Calculate: $ 81 + 45 = 126 $
- ✔ Answer: $ 9 \times 9 + 9 \times 5 = 126 $

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✔ Problem 4: $ 4 \times (6 + 3) $

- Distribute: $ 4 \times 6 + 4 \times 3 $
- Calculate: $ 24 + 12 = 36 $
- ✔ Answer: $ 4 \times 6 + 4 \times 3 = 36 $

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✔ Problem 5: $ 2 \times (6 + 2) $

- Distribute: $ 2 \times 6 + 2 \times 2 $
- Calculate: $ 12 + 4 = 16 $
- ✔ Answer: $ 2 \times 6 + 2 \times 2 = 16 $

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✔ Problem 6: $ 9 \times (9 + 4) $

- Distribute: $ 9 \times 9 + 9 \times 4 $
- Calculate: $ 81 + 36 = 117 $
- ✔ Answer: $ 9 \times 9 + 9 \times 4 = 117 $

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✔ Problem 7: $ 6 \times (2 + 7) $

- Distribute: $ 6 \times 2 + 6 \times 7 $
- Calculate: $ 12 + 42 = 54 $
- ✔ Answer: $ 6 \times 2 + 6 \times 7 = 54 $

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✔ Problem 8: $ 4 \times (5 + 5) $

- Distribute: $ 4 \times 5 + 4 \times 5 $
- Calculate: $ 20 + 20 = 40 $
- ✔ Answer: $ 4 \times 5 + 4 \times 5 = 40 $

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✔ Problem 9: $ 6 \times (4 + 3) $

- Distribute: $ 6 \times 4 + 6 \times 3 $
- Calculate: $ 24 + 18 = 42 $
- ✔ Answer: $ 6 \times 4 + 6 \times 3 = 42 $

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✔ Problem 10: $ 5 \times (4 + 7) $

- Distribute: $ 5 \times 4 + 5 \times 7 $
- Calculate: $ 20 + 35 = 55 $
- ✔ Answer: $ 5 \times 4 + 5 \times 7 = 55 $

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📝 Final Answers (Rewritten & Solved):

1. $ 2 \times (7 + 4) = 2 \times 7 + 2 \times 4 = 14 + 8 = 22 $
2. $ 6 \times (9 + 2) = 6 \times 9 + 6 \times 2 = 54 + 12 = 66 $
3. $ 9 \times (9 + 5) = 9 \times 9 + 9 \times 5 = 81 + 45 = 126 $
4. $ 4 \times (6 + 3) = 4 \times 6 + 4 \times 3 = 24 + 12 = 36 $
5. $ 2 \times (6 + 2) = 2 \times 6 + 2 \times 2 = 12 + 4 = 16 $
6. $ 9 \times (9 + 4) = 9 \times 9 + 9 \times 4 = 81 + 36 = 117 $
7. $ 6 \times (2 + 7) = 6 \times 2 + 6 \times 7 = 12 + 42 = 54 $
8. $ 4 \times (5 + 5) = 4 \times 5 + 4 \times 5 = 20 + 20 = 40 $
9. $ 6 \times (4 + 3) = 6 \times 4 + 6 \times 3 = 24 + 18 = 42 $
10. $ 5 \times (4 + 7) = 5 \times 4 + 5 \times 7 = 20 + 35 = 55 $

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✔ All problems solved using the distributive property and simplified correctly! Let me know if you'd like this in printable format or with visual models.