Equal Expressions with Distributive Property

Find an equivalent expression for the given expression: 36x + 24

• 4(9x + 7)

• 4(9x + 8)

• 2(18x + 12)

• 12(3x + 3)

Which expression is equivalent to 2(5x + 4)?

• 10x - 8

• 10x + 8

• 10x + 4

• 10x - 4

Simplify the expression:

8(5 + w)

• 40 + w

• 40+8w

• 85 + 8w

• 13+8w

Which expression is equivalent to 9(p + 4)?

• 9p - 36

• 9p + 36

• 9p + 4

• 9p - 4

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

• 10x + 30

• 10x + 6

• 40x

• 2x + 30

Find the equivalent expression for5(a + 6)

• 5a+6

• 5a+30

• a+30

• 5a-30

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

• 10x + 30

• 10x + 6

• 40x

• 2x + 30

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.

Which expression is equivalent to 10(3x + 2)?

• 30x + 2

• 30x - 20

• 30x - 2

• 30x + 20

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.