Equivalent Expressions

Which mathematical property shown here proves that these two expressions are equivalent?
   6(v+5v)  =   6v+30v 

• Commutative Property multiplication

• Identity Property

• Distributive Property 

• Associative Property of addition

Which answer choice is equivalent to:

3(2x+8)

Select all that apply.

• 6(x+4)

• 6x+24

• 6x+8

• 5x+11

Which answer choice is equivalent to:

18x-9

Select all that apply

• 3(3x-3)

• 9(2x+1)

• 9(2x-1)

• 6(3x + ⅔)

Which answer choice is equivalent to:

4(2x-5)+6x

Select all that apply.

• 2(7x-10)

• 14x-20

• 20-14x

• 14x-5

Which answer choice is equivalent to:

5x+3(x-6)

Select all that apply.

• 8x-18

• 5x+3x-18

• 18+8x

• 18-8x

Which expression is equivalent to:
d + d + d + 3 + 2

• 3d + 5

• d + 5

• 2d + 7

• 3d + 4

Which expression is equivalent to:
4s + 4s

• 8s

• 8

• s

• 9s

Which answer choice is equivalent to:
5(2x-3)-3x

• 10x-6

• 7x-15

• 6-10x

• 15-7x

A restaurant received a shipment of five crates of glasses with g glasses in each crate. The manager dropped one crate, breaking all of the glasses inside of it. Which expression shows how many glasses are left?

• 5g − g

• 5

• 4

• g

Which expression is equivalent to
v + v + v + v + v?

• 5v

• v⁵

• v + 5

• v5