Six Meanings of would

1. Used for Request
   :Would you please go to the drugstore for me?
   
2. Used for Invitation (ex: Would you have dinner with us to night?)
3. Used to Express Desire (would like) ==> ex: I'd like another cup of tea
4. Used to Express Preference (would rather) ==>ex: I'd rather live in suburb, not the city
5. Used in Reported Speech ==> ex: He said he would send the report
   
6. Used to Indicate Refusal (past of won't) ==> Ellen wouldn't speak to him for three days

(adapted from Welcome to English by Sheller)