To respond angrily or rudely at an inappropriate or unwelcome time. Don't argue back to me, young lady.Your students don't respect you, that's why they always argue back when you try to discipline them.
to argue with or oppose someone; to answer back (to someone); to talk back (to someone). (Usually said of persons who are supposed to listen and obey without comment.) Please don't argue back all the time.I wish you children did not argue back so much.