General meaning (continue):
* Keep up the good work!
* I'm trying to keep up with my studies.
* She kept up a steady pace on the treadmill.
* He couldn't keep up with the conversation because it was in Spanish.
Meaning (stay informed):
* I try to keep up with current events by reading the news.
* Keep up with the latest trends in fashion.
* It's hard to keep up with all the new technology.
Meaning (match or equal):
* Can you keep up with me on this bike ride?
* I need to find a job that can keep up with the cost of living.
* The company couldn't keep up with the demand for its product.
Idioms:
* Keep up appearances: to maintain a respectable outward appearance despite difficulties.
* Keep up the good fight: to continue working hard in the face of challenges.
* Keep up with the Joneses: to try to match the lifestyle of your neighbors or peers.
More examples:
* We need to keep up the pressure on the government to address climate change.
* The protesters kept up their chants outside the building.
* I'm trying to keep up a positive attitude, even though things are tough.
The meaning of "keep up" depends on the context of the sentence. I hope these examples help you understand how to use it!