Equivalent Expressions with the Distributive Property

Find an equivalent expression for the given expression: 36x + 24

• 4(9x + 7)

• 4(9x + 8)

• 2(18x + 12)

• 12(3x + 3)

Which expression is equivalent to 7(n + 4)?

• 7n - 28

• 7n - 4

• 7n + 4

• 7n + 28

Find the equivalent expression for5(a + 6)

• 5a+6

• 5a+30

• a+30

• 5a-30

What is the missing number in the following area model? 

• 225

• 545

• 50

• 9

Which expression is equivalent to 8(7 + 9) because of the distributive property?

• (8 x 7) - (8 x 9)

• (8 + 7) + (8 + 9)

• (8 x 7) + (8 x 9)

• (8 + 7) - (8 + 9)

Which expressions are equal to the sum of 36 + 24? Choose ALL that apply.

• 6(5 + 4)

• 3(6 + 8)

• 12(3 + 2)

• (12 x 3) + (12 x 2)

• (12 + 3) + (12 + 2)

• Identity

• Commutative

• Associative

• Distributive

Answer explanation

The Distributive Property allows you to multiply each value inside the parentheses separately

Which property states multiplying a number by a group of numbers added or subtracted together is the same as doing each multiplication separately.

• Identity

• Commutative

• Associative

• Distributive

Identify the property use to make the expressions equivalent

• Identity

• Commutative

• Associative

• Distributive

Answer explanation

The Distributive Property allows you to multiply each number separately instead of solving the parentheses first.

Are these two expressions equivalent?
5(3+2) and 5•3 + 5•2

• Yes, because of the associative property

• Yes, because of the commutative property

• Yes, because of the distributive property

• No, these two expressions are not equivalent