Where X is a variable and C is a constant, which of the following equations is true?
A) S (X+C) = S X + C
B) S (X+C) = S C + X
C) S CX = X S C
D) S CX = C S X

Question

Quizplus · Accepted Answer

This equation follows the distributive property of multiplication over addition, which states that the product of a constant and the sum of two variables is equal to the sum of the product of the constant with each variable separately. Therefore, S (CX) = (SC) X. This is equivalent to option D, S CX = C S X. Options A and B do not follow the distributive property, and option C uses the commutative property of multiplication which does not apply here.

Where X Is a Variable and C Is a Constant