Trigger conditions ignored?

Like Kelly says, it's practically impossible to know what's going wrong without seeing the actual project. Attach the .story file (or at least the offending slide) here, so someone can take a look at it.

While you're doing that, there are a couple of things to check. The last trigger in the attached graphic is not helping. If its conditions are true, it doesn't change the value opf Q1Answer in time to be considered. Triggers are executed in the order they appear in the list, from top to bottom. So the layer is shown before this trigger decides whether to set the variable or not.

Secondly, layers show one at a time. They default to hiding other layers when shown, so if you are seeing two of them, that setting has been changed. The way the three "Show layer" triggers are written, only one (or none) is shown, depending on the content of the variable. It is, unless there are other triggers lower that we can't see. So if you are seeing two layers at the same time, the most likely way for that to happen is if you are running through the list, changing the variable, and running through the list again  without hiding the first layer. This is something that can easily happen with testing, and choosing different answers.

At any rate, if the variable content is correct, the problem is not with the AND conditions, the problem is with the Show Layer triggers. Actually, I think it sounds like the problem is that the previous layer is not being hidden.

Of course, there is a possibility that you are clicking Check Button 1 one time and two layers are showing. That can happen if there are more triggers lower that mimic the triggers that are showing, but with different logic.  It might also happen if there is some corruption in the slide, in which case you would have to rebuilt the entire slide from scratch, at a minimum.

But again, without seeing it, who knows?