To make an attempt or effort to do something. She will try to finish her homework before dinner.
To test something to see if it is suitable or effective. He decided to try the new software to see if it improved his workflow.
To subject someone to trial in a court of law. The court will try the defendant for the alleged crimes next month.
To strain or tax the powers of; to put to a severe test. The relentless heat tried the marathon runners' stamina.