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

Tags

CCSS.7.NS.A.1D

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

Tags

CCSS.3.OA.B.5

• Identity

• Commutative

• Associative

• Distributive

Answer explanation

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

Tags

CCSS.6.EE.A.3

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

Tags

CCSS.6.EE.A.2C

• Identity

• Commutative

• Associative

• Distributive

Answer explanation

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

Tags

CCSS.6.EE.A.3

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

Tags

CCSS.6.EE.A.4

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

Tags

CCSS.6.EE.A.2C

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

Tags

CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2

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)

Tags

CCSS.6.EE.A.4

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

Tags

CCSS.6.EE.A.3