read into:  You are reading too much into her remarks; she probably didn’t mean it. (To assign a meaning to someone’s words that they just don’t have)
read out:  He read out a list of names of those who died in the disaster. (To read aloud)
read through/over:  I read through the passage for him and discovered some mistakes. (To read from beginning to end)
read up:  Let’s read up on the plumbing in the manual before we do anything. (To find out information by reading)

reason with:  I tried for days to reason with her but she wouldn’t listen. (To urge or persuade by giving good reasons)

reckon in:  If you reckon in the prohibitive cost of repairs, it seems worthwhile to buy a new one. (To include something in a calculation) 

reckon on:  We didn’t reckon on hiring more staff. (To expect)

reckon with:  He made a report against them, and now they have the police to reckon with. (To have someone powerful or something difficult to deal with)

reckon with:  They reckoned without the problem of lack of funds. (To fail to take into account)

relate to:  He is unable to relate to older people.(To understand and share the feelings of another person)

relate to:  He doesn’t relate well to his peers. (To have a friendly relationship with someone)

rely on/upon:  This landlocked country has to rely on its eastern neighbor for its import and export. (To depend on)

rely on:  You can safely rely on his judgment. (To trust someone) 

remark on:  Her friends at the party remarked on her outfit. (To pass comment)

remind of:  The song reminds him of his mates in his prison days. (To make someone remember of someone else)

remind of:  How often do you look at your watch to remind you of the time? (To make someone remember of something)

report back:  He reported back that the violence had escalated. (To bring or send back an account of something, as a journalist or reporter does)

report to:  We were told to report to the new manager tomorrow. (To be responsible t o someone at the workplace)

rest on:  The future of the company rests solely on consumers’ demand. (To depend)

rest on:  His eyes rested on the young girl sitting alone in the corner. (To look steadily and intently)

rest with:  The final decisionto or not torelease the hostages rests with the leader.(To have the responsibility to do something)

resulted from his own negligence. (To be caused by something)

result in:  The accident resulted in the loss of his left leg. (To finish with)

ring back:  She said she would ring back and that was ten hours ago. (To return a telephone call)

ring in:  The boss rang in to inform he had taken the day off.  (To call one’s workplace by telephone)

ring in:  They never fail to ring in the New Year with a brilliant firework display. (To mark the start of something new)

ring off:  After a long conversation, we agreed to ring off. (To end a telephone call)

ring out: A scream rang out from the house across the road in the middle of the night. (To be loud and clear) 

ring up:  The new cashier rang up the wrong amount. (To use a cash register to record an amount)

ring up:  Someone rang up the fire station to report a fire. (To call someone or some place by telephone)

run across:  I ran across my ex and her lover this morning. (To find or meet by chance)

run after:  He is always running after girls with long hair. (To seek the attention of someone with the intention of getting romantically involved)

run after:  He ran after her to return a set of keys which she dropped. (To catch someone up for a purpose)

run against:  He intends to run against his father in the by-election. (To compete for something, especially a position of power) 

run against:  While swimming across the river, we soon found ourselves running against strong current. (To encounter something unexpectedly)   
                                                                                                              
run along:  The children were told to run along so that the two adults could carry on with their conversation. (To tell someone, especially children to go away)
run around:  At your age, you shouldn’t be running around like that. (To busy oneself doing many different things) 

run away:  The husband ran away from his domineering wife. (To leave secretly from someone or some place)

run away with:  She ran away with two gold medals in this year’s swimming competition. (To win easily) 
run away with:  This is the second time he ran away with a neighbour’s wife. (To leave secretly with someone)

run down:  A car ran down a pedestrian while being chased by a patrol car. (To hit and knock down someone or something with a vehicle)

run down:  She often runs herself down as she feels she’s unable to deal with her life. (To represent someone as being of little worth; to criticize unfairly)
run down:  The police have finally run down the leader of the drug traffickers in his new hideout. (To trace and capture someone)
run down:  They are running down their ostrich farm as the demand for ostrich meat and eggs has fallen. (To reduce the size, resources, etc of something)
run down:  We have to run down the list of names to make sure no one is excluded. (To examine something in details; to go over)
run down:  The clock has stopped working; it’s very probable its batteries have run down. (To lose power)

run into:  He lost control of his car and ran it into a bus. (To use a vehicle to hit someone or something by accident)

run into:  We ran into financial difficulties six months after we started the business. (To experience a difficulty)
run into:  This morning I ran into an old colleague. (To meet by chance)
run into:  His wealth is likely to run into seven figures in a few years. (To amount to)

run off:  Her husband ran off with her sister. (To run away secretly to get married)

run off:  He ran off after getting her pregnant. (To run away from someone)
run off:  The new machine can run off fifty copies in a minute. (To print or to duplicate)
run off:  She joined a new gym to run off her excess pounds. (To shed the extra weight)
run off with:  He ran off with a huge sum of his employer’s money. (To secretly escape or to leave hurriedly to avoid arrest)

run on:  The lecture became more boring when it ran on for another hour. (To continue longer than is expected)

run on:  The professor claimed to have invented a car that ran on seawater. (To be powered by something)

run out:  She felt like screaming at him when her patience ran out. (To be used up)

run out:  Our operating licence runs out at the end of the year. (To come to the end of the period of validity; to expire)
run out of:  We can’t post our letters now as we have run out of stamps. (To use up)
run out of:  We are running out of funds at the moment, so we are not going on holiday. (To become used up)
run out on:  She deeply regrets running out on her parents a few months ago.

run over:  His dog died shortly after it was run over by a taxi. (To knock down and pass over someone or something by a vehicle)

run over:  Let’s run over the tables and figures in the report before we leave for the meeting. (To review)
run over:  Someone left the tap on and the water ran over. (To overflow)
run over:  The meeting has run over by nearly an hour; shall we continue tomorrow? (To exceed the expected ending time)

run through:  Let’s run through the solutions to the exercises again. (To go over something)

run through:  She ran through my essay for me and discovered some spelling mistakes. (To examine something)

run to:  How could a bill for a minor repair to my car run to a hundred dollars? (To reach a particular amount or level)

run up:  We ran up a very large hotel bill. (To increase in amount or number)

run up:  With his new machine, the tailor can run up a piece of clothing within hours. (To make something, especially clothes, hurriedly)
run up against:  Construction of a chemical plant had run up against growing local opposition. (To unexpectedly meet or be faced with difficulty)

rush around:  We rushed around informing all the members of the last-minute cancellation. (To act with urgent haste)

rush into:  John begins to regret rushing into that high-risk venture without careful thought. (To get involved without prior consideration)
rush out:  The manufacturer is rushing out the novelties for the festive season. (To quickly produce and distribute something)