give something a try informal
give something a shot informal , auch: give something a whirl informal
give something a go BrE informal

Stay a year and give our relationship a real shot?

I asked him why he didn't want to give me a shot.

He gave me a hard shot across the side of the face with his open hand.

Her eyes told him she had given herself a shot.

The plan was to give him a shot at talking to us.

All he'll do is give me a shot of something.

I can give them my outside shot and run the floor the way they like.

By doing so, he gave Bush his best shot of the night.

They would be here soon to give her another shot.

I don't like the idea of giving myself a shot.