Question

Kailey plays video games for x hours a month. Trent plays video games four hours more than Kailey and Megan plays two times more than Trent. Which expression represents the amount of time Megan spends playing video games?
A). 2(4x)
B). 2x + 4
C). 2x - 4
D). 2(x + 4)

Answer 1

D. 2(x + 4)
Now you get that answer by working the problem. For instance, Kailey plays x hours per month, so we get
K = x
Now Trent plays 4 more hours than Kailey, so we get
T = K + 4.
Since we know that K = x, we can substitute x for K and get
T = x + 4
Now Megan plays two times as much as Trent. So we get
M = 2T
But since T = x + 4 we can subsitute x + 4 for T, getting
M = 2(x + 4)
We need the parenthesis because multiplication has a higher priority than addition and without the parenthesis the multiply by 2 wouldn't have affected the addition of 4.