care to...?

(would you) care to join me/us

An invitation for one to engage in a particular action or activity with someone else (or a group). I'm going out for a jog—care to join me? Would you care to join us for dinner tonight?
See also: care, join

care to (do something)

1. To be interested in doing a particular action or activity. Often used in the negative to mean the opposite. No thanks, I don't care to jog today—my legs still hurt from yesterday's trip to the gym.
2. Would you like to (do a particular action or activity)? I'm going out for a jog—care to join me?
See also: care
Farlex Dictionary of Idioms.

(Would you) care to...?

a polite phrase introducing an inquiry as to whether someone wishes to do something. John: Would you care to step out for some air? Jane: Oh, I'd love it. Sue: Care to go for a swim? Mary: Not now, thanks.
See also: care
McGraw-Hill Dictionary of American Idioms and Phrasal Verbs.
See also:
  • (would you) care to join me/us
  • care to join us?
  • join
  • (Do you) care if I join you?
  • care
  • if
  • see if I care
  • See if I care!
  • like I care
  • take care of someone