Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Lesson: Distributive Property of Multiplication

Sample Question Videos

Worksheet • 25 Questions • 1 Video

Q1:

Find the area of the rectangle using the distributive property.

Q2:

The diagram shows a rectangle of sides π‘Ž and 𝑏 + 𝑐 . Its area is thus π‘Ž Γ— ( 𝑏 + 𝑐 ) , also written as π‘Ž ( 𝑏 + 𝑐 ) . Work out the area of the two rectangles that make up the bigger rectangle to find an equivalent expression to π‘Ž ( 𝑏 + 𝑐 ) .

  • A π‘Ž 𝑏 + π‘Ž 𝑐
  • B π‘Ž 𝑏 Γ— π‘Ž 𝑐
  • C π‘Ž 𝑏 + 𝑐
  • D π‘Ž + 𝑏 + 𝑐
  • E 𝑏 + π‘Ž 𝑐

Q3:

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

  • A 7 ( π‘₯ + 2 ) , 7 π‘₯ + 1 4
  • B 2 ( π‘₯ + 7 ) , 2 π‘₯ + 9
  • C 7 ( π‘₯ + 2 ) , 7 π‘₯ + 9
  • D 2 ( π‘₯ + 7 ) , 2 π‘₯ + 1 4
  • E 7 ( π‘₯ + 2 ) , π‘₯ + 1 4

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 8 5 Γ— 9 .

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 3 Γ— 1 7 .

What expression is missing?

  • A 3 Γ— 7
  • B 7 Γ— 1 0
  • C 3 Γ— 3
  • D 3 Γ— 1 0

What is 3 Γ— 1 7 ?

Q9:

Nader is learning to multiply by breaking apart factors and then adding.

For 6 Γ— 1 2 , he draws a 6-by-12 rectangle and splits it into two parts.

What expression is missing?

  • A 6 Γ— 8
  • B 6 Γ— 1 0
  • C 6 Γ— 9
  • D 6 Γ— 7

What is 6 Γ— 1 2 ?

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?

  • AThey are both correct.
  • BOnly Mona’s method is correct.
  • CThey are both wrong.
  • DOnly Amir’s method is 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 ( 1 0 0 Γ— 8 + 1 0 Γ— 8 0 ) Γ— 3 0 using the distributive property.

Q14:

Ramy split 6 into 3 + 3 to find 6 Γ— 9 .

Farida split 6 into 5 + 1 to find 6 Γ— 9 .

Whose method is correct?

  • AThey are both correct.
  • BOnly Ramy’s method is correct.
  • CThey are both wrong.
  • DOnly Farida’s method is correct.

What is 6 Γ— 9 ?

Q15:

The number bond shows that 7 = 1 0 βˆ’ 3 .

What expression is missing?

  • A 1 0 Γ— 8
  • B 4 Γ— 8
  • C 4 Γ— 1 6
  • D 1 0 Γ— 1 6

Fill in the blank: 7 Γ— 8 = βˆ’ 2 4 .

Hint: Use the number bond and that 3 Γ— 8 = 2 4 .

Q16:

The number bond shows that 1 2 = 8 + 4 .

What expression is missing?

  • A 8 Γ— 5
  • B 1 6 Γ— 5
  • C 8 Γ— 4
  • D 3 Γ— 5

Find the missing number in

Hint: Use the number bond and the fact that 4 Γ— 5 = 2 0 .

Q17:

Fill in the blank: 4 Γ— 1 0 = 4 Γ— 5 + 4 Γ— .

Q18:

Evaluate 1 , 0 0 0 Γ— ( 5 5 + 9 1 2 βˆ’ 4 5 ) using the distributive property.

Q19:

Complete:

Q20:

Write the subtraction expression that is missing:

  • A 1 6 βˆ’ 4
  • B 1 6 βˆ’ 1 4
  • C 1 8 βˆ’ 4
  • D 2 6 βˆ’ 1 4

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.