Question

Variable g is 5 more than variable w. Variable g is also 2 less than w. Which pair of equations best models the relationship between g and w?
g = w + 5
g = w − 2

g = w − 5
g = w + 2

w = 5g
w = g − 2

w = 5g
w = g + 2

Answer 1

G=w+5
g=w-2
This confused me at first as well, but just try and make a picture in your mind, anyway, if you add 5 to W, then it is equal to g because "Variable g is 5 more than variable w" 
If you subtract 2 from w it is equal to g because Variable g is also 2 less than w."

Answer 2

Your answer is the first choice, g = w + 5    &    g = w − 2, because if variable g is 5 MORE THAN variable w, that would mean you would have to add 5 to w in order to get g, (g = w + 5), but if it said it was 5 TIMES MORE THAN, THHHHEEEENNNNN that would mean w times 5.
Now da second problem is g = w - 2, because they said that g is 2 LESS THAN w, so you would have to subtract 2 from w to get g, also known as g = w - 2.
I hope I helped! =D