Applying Distributive Property to Simplify Expressions

Which of the following is equivalent to 5(2x + 6)?

• 10x + 30

• 10x + 6

• 40x

• 2x + 30

Simplify: 2(3v - 8)

• 6v-16

• 6v-8

• 6v-6

• 6v+8

8h +7(2 + 4h)

HINT! Combine like terms after using the distributive property.

• 90h

• 12h + 14

• 50h

• 36h +14

7(a + 8) - 5a + 4

• 2a + 60

• -5a + 60

• 2a + 56

• 7a + 4

7a(3b - 2c + 4)

• 10ab + 5ac + 11a

• 10ab + 5ac + 28a

• 21ab + 14ac + 28a

• 21ab - 14ac + 28a

-5a + -2(a - 1) Hint: Apply the Distributive Property first.

• -7a + 2

• -9a

• -7a - 2

• 12a - 2

Simplify using distributive property.

2(x+3)

• 2x-6

• 2x+3

• 2x+6

• 2x-3

Simplify using distributive property.

3(x-6)

• 3x+18

• 3x-6

• 3x+6

• 3x-18

3(9 + 2d) + 4d 

• 18d+10d

• 18d-10d

• 27+10d

• 37d

Fill in the blank: 5(2x + 4) = 10x + _____