I

iron out
-- mutually reach an agreement; mutually resolve difficulties "Yes, I know we disagree on lots of things, Susan, but we can iron them out."

J

K

keep on
-- continue "I'm not ready to stop yet. I think I'll keep on working for a while."

keep on (someone)
-- continue to remind someone to do something until he/she does it (even if this irritates her/him). "Bill's very forgetful. You'll have to keep on him or he'll never do all the things you want him to do."

kick out
-- expel; force someone to leave because of his/her poor performance or unacceptable behavior. "Jim's club kicked him out because he didn't pay his dues or come to meetings."

knock out
-- make unconscious. "The boxing match ended when one boxer knocked the other one out."

knock oneself out
-- work much harder than normal or than what is expected. "We completed the project on timebecause of Chuck. He knocked himself out to be sure we didn't miss the deadline."