identify with:  He identified very much with the main character in the film. (To consider oneself as equivalent to someone else)

improve on:  The second edition greatly improves on the first one. (To produce something better than)

inform against/on:  A member inform against the other members of the armed gang. (To disclose incriminating information to an authority)

inform against/on:  He was summarily arrested when his comrades informed on him. (To reveal incriminating information about someone)

infringe on:  Discussing a politician’s divorce is tantamount to infringing on his personal life. (To encroach on someone or something)

inquire after:  Amy is deeply concerned about you; she’s always inquiring after your health and well-being. (To ask about the state of health of someone)

inquire into:  The police are inquiring into his relationship with the terrorist group.  (To investigate or gather information)
inquire of:  The reporters inquired of the party leader when he would resign for his part in the bribery scandal. (To ask for information)   

interfere with:  Lack of confidence has seriously interfered with his performance at school. (To prevent something from working effectively)

interfere with:  A teacher was arrested for interfering with his young charges. (To sexually molest)

invest in:  The company invests heavily in research and development. (To spend for future benefit)

invest in:  Their old leaking house makes them feel the need to invest in a new one. (To acquire something useful)

invest with:  The party constitution invested the party leader with the power to approve candidates for election. (To provide with power or authority)

invest with:  He was invested with great charisma which few leaders in his country have had. (To endow someone or something with a particular quality or characteristic)

issue forth:  The relatives could hear the groans issuing forth from the dying patient. (To flow or come out from something) 

issue from:  From a long distance, we could see smoke issuing from a lone cottage chimney. (To come out)

jack up:  The storekeepers wouldn’t dare jack up prices because of a new supermarket nearby. (To raise)

jack up:  This is the third time in two years the landlord has jacked up the rents. (To increase)
jack up:  We had to jack up the car to replace its punctured tyre. (To use a jack to lift a heavy object off the ground)

join in:  We join them in clearing up the beach. (To become a member of a group involved in an activity)

join up:  The three sisters thought the army was the right choice for them, and they had joined up. (To become a member of one of the armed forces)  
join up:  We joined up with a vigilante group to patrol the neighbourhood. (To unite with other people to do something)
join with:  They are asking anyone to join with them in their campaign for racial equality. (To come or bring together for a common purpose; to unite)

jot down:  I jotted her telephone number down on my palm. (To write something hastily)

jump at:  He jumped at the chance to join the trip to the Niagara Falls. (To accept eagerly)

jump at:  She jumped at the bargain on offer. (To act quickly as a reaction to something)
jump at:  The supervisor jumped at me for making the mistake. (To make a verbal attack)

jump in:  That was not the first time he jumped in when I was still talking. (To interrupt someone)

jump on:  Her mother never failed to jump on her whenever she was home late. (To express disapproval of)
jump out at:  The luminous billboard really jumped out at us especially when we pass by it in the dark. (To appear highly noticeable)

keep at:  We kept at it until we completed it ahead of schedule. (To persist)

keep at:  The employer kept the foreign workers at it until late at night. (To force someone to persist)

keep away:  You should keep away from that fast-flowing river. (To avoid going to a place)

keep away:  The villagers kept their children away from outsiders who happened to be there. (To prevent someone from seeing someone else)

keep back:  I think she is keeping something back that she does not want us to know. (To not tell everything)

keep back:  We can’t use all our savings to buy the car; we have to keep some back for emergency use. (To not use all)

keep down:  Last night, I overate and couldn’t keep my food down. (To stop oneself from vomiting)  

keep down:  Something has to be done to keep global population down. (To prevent something from growing)
keep down:  We are now in a library; please keep your voice down. (To bring under control)

keep from:  He has only two months to live, so should we keep him from knowing? (To not tell about something)

keep from:  Some spectators couldn’t keep from booing loudly at the referee for not giving a free kick. (To stop oneself from doing something)

keep in with:  He is keeping in with his former business mentor who he believes could one day help in steering his new business to success. (To maintain friendly contact with someone that could prove beneficial in the future)

keep off:  Keep your hands off my pizza. (To not move into an area)

keep off:  His doctor advised him to keep off excessive smoking in order to stay healthy. (To refrain from doing or eating something that is harmful to one’s health)
keep off:  Why is he walking on the grass when the notice in front of him says ‘keep off the grass’? (To stay away from)

keep on:  She keeps harping on the one little mistake I made. (To carry on doing or saying the same thing)

keep on:  I was informed that they might not keep me on in the new year as the company will be downsizing. (To retain the employment of an employee)

keep out:  She should keep the baby monkey out instead of sleeping with it. (To stop someone or something from being in a place)

keep out:  At the construction site, there’s a big sign that read ‘keep out’. (To tell people to stay away)
keep out of:  It’s not our business, so we had better keep out of it. (To not get involved)

keep to:  Why do you beat about the bush? Keep to what you want to say. (To stick to a subject)

keep to:  Keep what I just told you to yourself, or I will never tell you anything again. (To maintain a secret)
keep to:  Keep to this street for the time being, or we will get lost again. (To stay in a particular area, etc)
keep to:  If we keep to our plan, nothing will go wrong. (To adhere to)
keep to:  If you keep to yourself all the time, you won’t know anybody or have any friend. (To not talk to or mix with other people)

keep up:  The furious barking of the neighbour’s dog kept me up the whole night. (To keep someone awake)

keep up:  It’s really tough to keep up the monthly payments for the house.  (To continue to pay off)
keep up: The boss likes to tell me to keep up the good work, but I have not got an increment for two years. (To continue doing something)
keep up: The factory is maintaining double shifts to keep up the volume of production. (To prevent a high level from falling)

keep up with:  She’s always trying to keep up with her siblings. (To be equal with someone else’s success or lifestyle)

keep up with:  He knows he has to work very hard to keep up with the rest of the class. (To be as good as someone else)
keep up with:  We only watch the news on television to keep up with what’s goes on in the outside world. (To keep abreast of)

knock around/about:  This big bully would knock the smaller kids about. (To treat with violence)    

knock around/about:  I too would like to knock around the different countries on the Continent. (To travel through different places)
knock around/about:  We have been meeting to knock around the idea of starting our own business. (To discuss or think carefully about something)
knock around/about:  After we bought a new lock, we found the one we were looking for knocking about in the storeroom. (To be lying somewhere that is not exactly known)

knock back:  He knocked back his drink in one go and ordered another one. (To swallow a drink quickly)

knock back:  We are getting a second-hand car; a new one will knock us back a large sum of money. (To cost a lot)

knock down:  The speeding car knocked down a villager’s goat. (To hit with a vehicle)

knock down:  The old building was knocked down to make way for a block of apartments. (To demolish)
knock down:  She bought a new dress which was knocked down to nearly half of its original price.(To reduce price)

knock off:  My dad can’t knock off work at the same time every day. (To stop working or doing something)

knock off:  The seller knocked off thirty dollars because of a slight dent. (To reduce price by an amount)
knock off:  He knocked off someone else’s invention and claimed it as his own. (To steal or imitate)

knock out:  The underdog knocked out his opponent in the last round. (To defeat an opponent in sports)

knock out:  The tourist was knocked out by a coconut that dropped on his head. (To become unconscious)
knock out:  The storm knocked out the power lines. (To cause something to be not working)

knock over:  His dog got knocked over by a car as it ran across the street. (To be hit by a vehicle)

knock together:  He knocked together a birdhouse with whatever he could find in the storeroom. (To assemble) 
knock up:  He doesn’t own an alarm clock, but depends on the landlady to knock him up in the morning. (To wake someone up by knocking at the door)