School and Work: algebraic

Open Question: Is there a difference between saying f(a) is algebraic over F and saying a is algebraic over F?

Here is some more information if it helps to undertstand the circumstance.
let f(x) be a nonconstant element of F[x]
a belongs to some extension of F

If they are different can someone please explain to me how becasue they seem like the absolute same to me...

Thank you!

6n+n^2

I wrote 6n + n (square)

Thats all, I think the equation is incomplete...

Sorry, I could not read the content fromt this page.

Solve using linear combinations
-3x+3y=12
4x+2y=20

x>-1
y<3
y>-3 (i have no idea what to do for this one lol)

solve by substitution
-4x+7y=-2
x=(-y-5)

please answer atleast one of them.!