Distributive Property and Factors

Which of the expressions below is equal to 6 (2 + 2)? Select all that apply

• (6 x 2) + (6 x 2)

• 6 x 2 + 2

• 12 + 2

• 6 x 4

What is another way to write (12)(45) ? Select ALL that apply

• 560

• (10 + 2)(40) + 5

• (10 + 2)(45)

• 12(40 + 5)

• 57

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)

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

• Distributive

• Commutative

• Associative

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

• Distributive

• Commutative

• Associative

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.

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

• 7

• 14

• 7x

• 14x

Simplify   2(3x + 5)