In this worksheet, we will practice using the distributive property of multiplication to perform mental calculations.

**Q1: **

Find the area of the rectangle using the distributive property.

**Q3: **

Write two equivalent expressions for the area of the following rectangle.

- A ,
- B ,
- C ,
- D ,
- E ,

**Q4: **

Shady used to solve .

Use his method to answer these questions.

**Q5: **

Calculate .

Use Nehal’s multiplication fact to help you.

**Q6: **

This area model can be used to solve .

Find the missing partial product.

**Q7: **

A teacher has 34 children in her class. They each need 7 pieces of homework a week. By using the diagram, find how many pieces she will have to set altogether.

**Q8: **

Dina drew this to help her calculate .

What expression is missing?

- A
- B
- C
- D

What is ?

**Q10: **

Shady and Dalia want to use area to find .

Dalia splits this rectangle in half, but she can’t finish because she doesn’t know .

Shady says it is easier to use the 10 times table. How would he split the rectangle?

- A
- B

Pick the next step in Shady’s calculation.

- A
- B
- C
- D

Add the areas of the two parts to figure out .

**Q11: **

Mona used to find .

Amir used to find .

Whose method is correct?

- AOnly Amir’s method is correct.
- BOnly Mona’s method is correct.
- CThey are both wrong.
- DThey are both correct.

What is ?

**Q12: **

Sherif is using this model to find .

He split 16 into . What did he split 12 into?

- A
- B
- C
- D

Finish his equation by writing the missing addition expression.

- A
- B
- C
- D

What is ?

**Q13: **

Evaluate using the distributive property.

**Q14: **

Ramy split 6 into to find .

Farida split 6 into to find .

Whose method is correct?

- AOnly Farida’s method is correct.
- BOnly Ramy’s method is correct.
- CThey are both wrong.
- DThey are both correct.

What is ?

**Q15: **

The number bond shows that .

What expression is missing?

- A
- B
- C
- D

Fill in the blank: .

*Hint*: Use the number bond and that .

**Q16: **

The number bond shows that .

What expression is missing?

- A
- B
- C
- D

Find the missing number in

*Hint:* Use the number bond and the fact that .

**Q17: **

Fill in the blank: .

**Q18: **

Evaluate using the distributive property.

**Q19: **

Complete:

**Q20: **

Write the subtraction expression that is missing:

- A
- B
- C
- D

**Q21: **

Dalia is learning about different strategies to multiply.

She drew this to help her calculate .

What expression is missing?

- A
- B
- C
- D

What is ?

**Q22: **

Use this multiplication fact to find the missing numbers.