"Bad" is what I used growing up. I think it's by analogy to food--you would say that food has "gone bad" after a while. Similarly with batteries. You might also

"Bad" is what I used growing up. I think it's by analogy to food--you would say that food has "gone bad" after a while. Similarly with batteries. You might also ask "are these batteries (still) any good?" to question not their quality in general, but their state. It's almost certainly a regional thing.