Equivalent Expressions and Properties

Fill in the blank with the value that will make the expressions equivalent

8n + ____ = 8n

Answer explanation

Use the Identity Property to fill in the blank

Fill in the blank with the value that will make the expressions equivalent

6g + 6h = ____ (g + h)

Answer explanation

Use the Distributive Property to fill in the blank

Are these two expressions equivalent?
6 + 3 and 3 + 6

• 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

Are  these two expressions equivalent?
2 • (3 • 7) and  (2 • 3) • 7 

• Yes, because of the associative property

• Yes, because of the commutative property

• Yes, because of the distributive property

• No, these two expressions are not exquivalent

Which property states when adding or multiplying numbers can be grouped together in any combination?

• Identity

• Commutative

• Associative

• Distributive

• Identity

• Commutative

• Associative

• Distributive

Answer explanation

The associative property allows the grouping (parentheses) to change

Are these expressions equivalent?

(4 x 5) x 7 = 4 x (5 x 7)

• Yes because of the commutative property

• Yes because of the associative property

• Yes because of the distributive property

• No, they are not equivalent.

Are these two expressions equivalent?
6 – (4 – 1) and (6 – 4) – 1

• 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

Are these two expressions equivalent?
40 ÷ 10 and 10 ÷ 40

• 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

Are these two expressions equivalent?
7(3+2)  and (3+2)7

• 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