Question

After using the distributive property, what will the coefficient of the x term be? -5(2x - 4).

A. 5
B. -5
C. -10
D. 20.

Answer 1

C

Step-by-step explanation:

given

- 5(2x - 4)

multiply each term in the parenthesis by - 5 , that is the distributive property.

= - 10x + 20

the coefficient of the x- term is the value preceding the variable x

the x- term = - 10x

the coefficient of the x- term is - 10

Answer 2

By applying the distributive property to the expression -5(2x - 4), we find the coefficient of the x term to be -10. The distributive property entails multiplying each term inside the parentheses by -5, resulting in -10x as the term with x. Option C is the correct answer.

Step-by-step explanation:

The question asks us to use the distributive property to find the coefficient of the x term in the expression -5(2x - 4). The distributive property states that to multiply a sum by a number, we multiply each addend of the sum by the number and then sum the products. Therefore, when we distribute the -5 into the parentheses, we get:

• -5 × 2x = -10x
• -5 × -4 = +20

So the full expanded expression is -10x + 20. Looking at the coefficient of the x term which is the number multiplied by x, it is -10. Therefore, the correct answer is C. -10.