This worksheet guides students through rewriting multiplication problems using the distributive property to find the solution.

Here are the solutions for each problem using the Distributive Property. This property lets you multiply the number outside the parentheses by each number inside separately, then add or subtract the results.

1. 5 x (7 + 3)
* Multiply 5 by 7: $5 \times 7 = 35$
* Multiply 5 by 3: $5 \times 3 = 15$
* Add them together: $35 + 15 = 50$
* Also: $(5 \times 7) + (5 \times 3) = 35 + 15 = 50$

2. 9 x (4 + 2)
* Multiply 9 by 4: $9 \times 4 = 36$
* Multiply 9 by 2: $9 \times 2 = 18$
* Add them together: $36 + 18 = 54$
* Also: $(9 \times 4) + (9 \times 2) = 36 + 18 = 54$

3. (3x8) + (3x7)
* This is already distributed. You can factor out the 3.
* Inside parentheses: $8 + 7 = 15$
* Multiply: $3 \times 15 = 45$
* Also: $3 \times (8 + 7) = 3 \times 15 = 45$

4. (5x5) + (5x2)
* Factor out the 5.
* Inside parentheses: $5 + 2 = 7$
* Multiply: $5 \times 7 = 35$
* Also: $5 \times (5 + 2) = 5 \times 7 = 35$

5. 2 x (6 + 3)
* Multiply 2 by 6: $2 \times 6 = 12$
* Multiply 2 by 3: $2 \times 3 = 6$
* Add them together: $12 + 6 = 18$
* Also: $(2 \times 6) + (2 \times 3) = 12 + 6 = 18$

6. (8x3) - (8x1)
* Factor out the 8. Note the subtraction sign.
* Inside parentheses: $3 - 1 = 2$
* Multiply: $8 \times 2 = 16$
* Also: $8 \times (3 - 1) = 8 \times 2 = 16$

7. 7 x (9 - 4)
* Multiply 7 by 9: $7 \times 9 = 63$
* Multiply 7 by 4: $7 \times 4 = 28$
* Subtract: $63 - 28 = 35$
* Also: $(7 \times 9) - (7 \times 4) = 63 - 28 = 35$

8. 4 x (4 - 2)
* Multiply 4 by 4: $4 \times 4 = 16$
* Multiply 4 by 2: $4 \times 2 = 8$
* Subtract: $16 - 8 = 8$
* Also: $(4 \times 4) - (4 \times 2) = 16 - 8 = 8$

9. (2 x 2) - (2 x 1)
* Factor out the 2.
* Inside parentheses: $2 - 1 = 1$
* Multiply: $2 \times 1 = 2$
* Also: $2 \times (2 - 1) = 2 \times 1 = 2$

10. 9 x (3 - 0)
* Multiply 9 by 3: $9 \times 3 = 27$
* Multiply 9 by 0: $9 \times 0 = 0$
* Subtract: $27 - 0 = 27$
* Also: $(9 \times 3) - (9 \times 0) = 27 - 0 = 27$

Final Answer:
1. (5 x 7) + (5 x 3) = 35 + 15 = 50
2. (9 x 4) + (9 x 2) = 36 + 18 = 54
3. 3 x (8 + 7) = 3 x 15 = 45
4. 5 x (5 + 2) = 5 x 7 = 35
5. (2 x 6) + (2 x 3) = 12 + 6 = 18
6. 8 x (3 - 1) = 8 x 2 = 16
7. (7 x 9) - (7 x 4) = 63 - 28 = 35
8. (4 x 4) - (4 x 2) = 16 - 8 = 8
9. 2 x (2 - 1) = 2 x 1 = 2
10. (9 x 3) - (9 x 0) = 27 - 0 = 27