There are many questions to do with screen brightness on Linux Mint (this and this refer to default brightness being zero, and this to there being only two brightness levels.)
My problem is a bit different: I have too few brightness levels to choose from when using the function keys.
There are only three settings between full and completely off! If I'm working in a dark room, I need a very low brightness, but it still needs to be more than off!
I have Linux Mint 17 running on an HP Envy 14. The brightness settings in Screensaver and Lock Settings works better than the function keys do (I can get a dimmer level there) but it's still not brilliant.