To put things into a container or bag, especially when preparing to leave a place. We need to pack up our belongings before the movers arrive.
To stop working or doing an activity, often because it is time to leave or because something is not functioning properly. The computer packed up just as I was about to finish my report.
To leave a place, especially in a hurry or when something is finished. After the concert, the band packed up and headed to their next venue.