Is there something called smart Alex?
What does smart Alex mean?
I'm more familiar with "smart Alec" than "smart Alex," and it's a euphemism for "smart a**" -- a know-it-all, a "wisecracker," perhaps someone being a bit sassy.
a smart alec - Idioms - by the Free Dictionary, Thesaurus and Encyclopedia.
I'm not a teacher, but I write for a living. Please don't ask me about 2nd conditionals, but I'm a safe bet for what reads well in (American) English.