Simplify the Expressions Using Distributive Property

Which of the following expressions is equivalent to: 5(a + 6)

• 5a + 6

• a + 30

• 5a + 30

• 5a - 30

Use the Distributive Property to rewrite the algebraic expression.

8( x + 9)

Which of the following is equivalent to 21x + 28y?

• 3(7x + 4)

• 7(3x + 4)

• 3(7 + 4y)

• 7(3x + 4y)

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

• 7

• 14

• 7x

• 14x

Answer explanation

To simplify, distribute 3 to both terms inside the parentheses: 3x - 12. Then, combine like terms with the 2x term to get 5x - 12.

15(4m + 8n)

• 60 m + 120n

• 60m + 23 n

• 60m + 8n

• 19m +23 n

13a(5 - 6c)

• 18a - 6c

• 65a - 78c

• 65a + 78c

• 65a - 6c

7c(4a -6b)

• 28a - 6c

• 28a - 42b

• 28ac - 42

• 28ac - 42bc

30( 4 - 9a)

• -150a

• 120 - 270a

• 120 - 9a

• 120 + 270a

8- 4x

• 4xa

• 4ax

• 8a - 4ax

• 8a - 4x