noun

• (law) An invitation to enter into a binding contract communicated to another party which contains terms sufficiently definite to create an enforceable contract if the other party accepts the invitation.
  "His first letter was not a real offer, but an attempt to determine interest."

verb

• (intransitive) To propose or express one's willingness (to do something).
  "She offered to help with her homework."
• (transitive) To present in words; to proffer; to make a proposal of; to suggest.
  "Everybody offered an opinion."
• (transitive) To place at someone’s disposal; to present (something) to be either accepted or turned down.
  "He offered use of his car for the week.  He offered his good will for the Councilman's vote."
• (transitive) To place at someone’s disposal; to present (something) to be either accepted or turned down.

noun

• (used in combinations from phrasal verbs) agent noun of off
  "Once you finally discover yourself a dismember-er, a de-limber, a fucking head-cutter-offer, the most simple of tasks — enjoying a long walk outside, seeing a movie, conversing with a stranger in the library — all become prized and over-inflated moments of elation."