Distributive Property

Write 2 equations that match the array.

• ( 4 x 5) + ( 2 x 6)

• (3 x 4) + (3 x 4)

• (4 x 5) x ( 5 x 4)

• (3 x 2) + ( 3 x 7)

How would you break apart the following multiplication problem?
3x17=

• 3x(10+7)=

• 3x(1+7)=

• 3x(10X7)=

• 3+1+7=

Represent using the Distributive Property:
8 x 24

• (2 x 40) + (2 x 3)

• (2 x 90) + (2 x 4)

• (8 x 20) + (8 x 4)

• (8 x 40) + (8 x 9)

12(3 + 4) =

• 36 + 48

• 15 + 16

• 123 + 124

• 0.84

Use the Distributive Property to simplify the expression.
5(57)

• 250

• 285

• 305

• 295

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

• 7

• 14

• 7x

• 14x

Use the Distributive Property to simplify the expression.
6(7g + 4 − g)

• 60g

• 41g + 4

• 36g + 24

• 12g +4

Which expression is equivalent to 6b + 3(a+b)?

• 3a (7b)

• 9b + (a+b)

• 3a + 6b

• 3a + 9b

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.

Find the equivalent expression for5(a + 6)

• 5a+6

• 5a+30

• a+30

• 5a-30