Equivalent Expressions Using Properties

Find an equivalent expression: 
4( x + 3) =

• 4x + 3

• 4x + 12

• 4 + 3x

• x + 12

Find an equivalent expression using the associative property:
7 + ( 8 + 9)

• 7 + 8 + 9

• 8 + ( 7 + 9)

• (7 + 8 ) + 9

• 7 + 10

Find an equivalent expression using the Commutative property:
4 x 3 x 5 = 

• 4 + 3 x 5

• 5 x 4 x 3

• 5 + 4 + 3

• 3x + 5

Find an equivalent expression for 2x + 4 by factoring. 

• 8x

• 2 ( x + 2) 

• 2 (4x)

• 2 ( x + 4)

Find an equivalent expression using the Associative property: 
2 + ( 3 + p ) = 

• 2 x 3 x p

• 2p + 3

• ( 2 + 3 ) + p

• 3 + ( 2 + p )

Find an equivalent expression
x ( 3 + 4)

• 3x + 4x

• 7x

• 3(x) + 4(x)

• all are equivalent expressions

Find an equivalent expression using the Associative property: 
A + ( B + C ) = 

• (A + B) + C

• A + B + C

• (A + B + C)

• none are equivalent

What property allows this statement to be true? 
(A + B) + C = A + ( B + C)

• Associative

• Commutative

• Distributive

• Identity

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

Using the commutative property, what would be the equivalent expression for 
5 + 6 = ?

• 6 + 5

• 5 + 6

• 11