Check if working in US before taking to Europe + getting Greek SIM car

Check if working in US before taking to Europe + getting Greek SIM car

I have an unlocked Nokia 3310 I bought about 8 years ago and used several summers in Greece. The SIM card has obviously expired, and wouldn't work here in US anyway. When I plug the phone into a power source, it beeps but no screen display ever comes on. How can I tell if it still works? Or if the battery should be changed? (I last used it about 5 years ago).