Distributive Property to Expanded Form

Choose the correct expanded form of the distributive property

*** Watch the signs***

• (2 + 5) + (2 + 4)

• (2 + 5) x (2 + 4)

• (2 x 5) + (2 x 4)

12(3 + 4) =

• 36 + 48

• 15 + 16

• 123 + 124

• 0.84

Rewrite using distributive property and GCF.  
24 + 30

• 6(4+5)

• 8(3+4)

• 6(4) + 6(2)

• 6x2+5

Find the missing number using the distributive property.
10 + 20  =  2(5 +  __)

• 2

• 4

• 5

• 10

7(x + 4)

Find the equivalent expression for5(a + 6)

• 5a+6

• 5a+30

• a+30

• 5a-30

Fill in the blank:
2(x + 7) = 2x + __

• 7

• 14

• 7x

• 14x

Answer explanation

To simplify the expression, distribute the 2 to both terms inside the parentheses: 2(3x) + 2(4) + x = 6x + 8 + x = 7x + 8. Therefore, the correct choice is 7x + 8.

The

​ (a)   Property can be used to state that (x + 2)7 + 3x is equivalent to 7x + 14 + 3x.

• Distributive

• Commutative

• Associative

Simplify   2(3x + 5)