Question

Apply the distributive property to create an equivalent expression.

A) 42 - 24n
B) 42n - 24
C) 6 - 24n
D) 6n - 24

Answer 1

To apply the distributive property, multiply each term inside the parentheses by the term outside the parentheses.

Step-by-step explanation:

To apply the distributive property to create an equivalent expression, we multiply each term inside the parentheses by the term outside the parentheses. In this case, the term outside the parentheses is 42, so:

A) 42 - 24n = 42 * 1 - 42 * (-24n) = 42 - (-1008n) = 42 + 1008n

B) 42n - 24 = 42n * 1 - 42n * (-24) = 42n - (-1008) = 42n + 1008

C) 6 - 24n = 6 * 1 - 6 * (-24n) = 6 - (-144n) = 6 + 144n

D) 6n - 24 = 6n * 1 - 6n * (-24) = 6n - (-144) = 6n + 144