Help/support somebody
Back up (Don't worry, I'll back you up)
Happen soon
Come up (The Olympic games are coming up)
Do something fast enough/Understand
Keep up (I can't keep up with my teacher)
Finish your meal
Eat up (Eat up your vegetables)
In conclusion
Sum up (To sum up, we had a really nice day)
hit/kick somebody repeatedly
Beat up (The bully beat up the other children)
Finally do this thing
End up (We always end up eating fast food)
look for information/check
look up (If you don't understand, look it up)
Talk louder
Speak up (Please speak up, I can't hear you)
To get better from an injury
Heal up (It took me some time to heal up from the accident)
Explode
Blow up (Terrorists tried to blow up the station)
Get out of bed
Get up (I usually get up early)
Start a new activity or hobby
Take up (You should take up a new sport)
Go faster
Speed up (Speed up or we'll be late)
to finish a supply of something
Use up (We are using up the planet's resources)
End a relationship
Break up (Why did he break up with me?)
Stop a habit
Give up (I tried to give up eating chocolate)
Arrive
Turn up (Don't turn up late on a first date)
Put things in their place
Tidy up (Your room is a mess, you should tidy it up)
To approach rapidly
Run up (The players ran up to the referree to demand a penalty)
Mention something
Bring up (You mustn't bring up his divorce)
Become older/an adult
Grow up (Children grow up quickly nowadays)
Be sick/vomit
Throw up (Please don't throw up on the sofa)
To discover something
Dig up (The archeologists dug up some ancient ruins)
To get separated
Split up (The band split up after many years)