Simplify the Expressions Using Distributive Property

Which Property allows 6(21) to be written as 6(20) + 6(1)?

12(4x -7)

• 132x

• 48x -7

• 48x +12 -7

• 48x - 84

Which expression shows this problem using The Distributive Property: 3(98)

• 3(100 - 2)

• 3(90) - 8

• 3(100) + 3(2)

• 3(90-8)

6(4x -5y)

• 10x -5y

• 24x - 30y

• 24x - 5y

• 6(4x) + 6(5y)

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.

Use the Distributive Property to rewrite the algebraic expression.

9(x + 6)

x + 5

• 2x + 2
  

• 4x + 8
  

• 3x + 15
  

• 3x + 5
  

7(x + 4)

Use the Distributive Property to rewrite the algebraic expression.

6(x + 4)

Which of the following is equivalent to (36x + 72y)?

• 2(18 + 32y)

• 6(6x + 12y)

• 4(9x + 13y)

• 6xy(6 + 12)