Question

Which equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number”?

6 + 2(x + 4) = 6 plus 2 left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis 3 minus x right-parenthesis.(3 – x)
6 + 2(x + 4) = 6 plus 2 left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
(6 + 2)(x + 4) = left-parenthesis 6 plus 2 right-parenthesis left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis 3 minus x right-parenthesis.(3 – x)
(6 + 2)(x + 4) = left-parenthesis 6 plus 2 right-parenthesis left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)

Answer 1

6 + 2(x + 4) = (1/2)(3 - x)

Reason: "twice the sum of a number and four" is 2(x + 4), add six gives 6 + 2(x + 4), and "one-half of the difference of three and the number" is (1/2)(3 - x).