Equivalent Expressions and Properties

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

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

• Identity

• Commutative

• Associative

• Distributive

Answer explanation

Commutative property allows the order of the numbers to change or flip flop

Identify the property use to make the expressions equivalent

• Identity

• Commutative

• Associative

• Distributive

Answer explanation

The Identity Property of Multiplication states multiplying a value by 1 does not change the value

• Identity

• Commutative

• Associative

• Distributive

Answer explanation

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

Identify the property use to make the expressions equivalent

• Identity

• Commutative

• Associative

• Distributive

Answer explanation

The Commutative Property allows the order of the terms to change - the numbers flip flopped

Identify the property use to make the expressions equivalent

• Identity

• Commutative

• Associative

• Distributive

Answer explanation

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

Fill in the blank with the correct value to make the expressions equivalent

7 + 9 + ____ = k + 7 + 9

• 7

• 9

• k

• 16

Answer explanation

Use the Commutative Property to fill in the blank - the order of the numbers changed

Fill in the blank with the correct value to make the expressions equivalent

6 • (y • b) = (6 •___) • b

• 6

• y

• b

• yb

Answer explanation

Use the Associative Property to fill in the blank - the grouping (parentheses change)

Fill in the blank with the correct value to make the expressions equivalent

9 (5 - 3a) = (9 • ____) - (9 • 3a)

• 5

• 45

• 3

• 3a

• 27

Answer explanation

Use the Distributive Property to fill in the blank