Expanded Form to Factored Form Distributive Property

Use the distributive property to fill in the blank below with a number that makes the equation true.

Answer explanation

We need to think about 4 times what number equals 16.

$4\cdot4=16$
So 4 is the answer!

Use the distributive property to fill in the blank below with a number that makes the equation true.

Use the distributive property to fill in the blank with a number that makes the statement true.

^{Hint: Think, "What number times 9 equals 27? What number times 3 equals 9?"}

Answer explanation

3 is the number we are distributing in this problem.

$3\cdot9=27\ and\ 3\cdot3=9$
So 3 belongs in the blank!

Use the distributive property to fill in the blank with a number that makes the statement true.

^{Hint: Think, "What number times 4 equals 20? What number times 7 equals 35?"}

Which of the following shows the area model written in EXPANDED form?

• 5(3) + 5(4)

• 4(3) + 4(5)

• 3(4) + 3(5)

Ms. Yang, Ms. Nam, and Ms. Gregory go out to lunch. Each teacher places the same order: one salad and one cheesecake. Which expression below represents the total cost of the order in factored form?

• 3(3 + 7)

• 2(3 + 7)

• 5(3 + 7)

• 7(3 + 2)

Re-write the following expression using the distributive property:
8 (2 + 7)

• 8 x 7 + 2

• (2 x 8) + (7)

• (2 x 8)+(2x7)

• (8 x 2)+(8 x 7)

Re-write the following expression using the distributive property:
(8 x 2) + (8 x 7)

• 8 x 7 + 2

• (2 x 8) + (7)

• (2 x 8)+(2x7)

• 8 (2+7)

What form of the distributive property is shown below?
4(3+2)

• Expanded

• Standard

• Factored

• Multiple

What form of the distributive property is shown below?
(4 x 9) + (4 x 13)

• Expanded

• Factored

• LCM

• Exponent