Translate the sentence.

Question

Translate the sentence into an equation.

Twice the difference of a number and 6 is 8.

Use the variable w for the unknown number.

Answer 1

2(w-6) = 8

2w-12 = 8

2w = 20

w = 10

Unless you really meant

2(6-w) =8

12 -2w =8

2w = 4

w =2

It's a little ambiguous when you the say the "difference" as it could mean 6-w or w-6. both are the difference between 2 numbers. Although generally the absolute value of both would make them the same.

you could write it as 2(absolute value of (6-w)) =8

then 2(4) = 8 whether w=10 or 2

That might be the best way to write it, as twice the absolute value of (6-w) or (w-6) = 8

then you get w =both 10 & 2, instead of just one or the other.

solution is then {10}U{2}, or {10}^{2} not the exclusive or {10}v{2}