I did it before and remembered it being a little chaotic, so I didn't set my expectations high. Therefore, it went better than anticipated.
Here is the worksheet of multiplying and dividing rational expressions. Speed Dating with Multiplying and Dividing Rationals
Basically, the kids get white boards and put their desks facing each other. I give a little piece of paper with one problem to each student to simplify. They have to become an expert at their problem, meaning they need to do it until they get it right and check it with the teacher. This is the chaotic part with 26 kids trying to get my attention. (numbered problems and a clear answer key will help speed this up). Once they are all experts, the fun can begin. The students trade papers with the person across from them and try to work out the problem. They are to ask the expert if they got it right. A lot were still asking me and I told them to ask their partner. From here it was pretty self sufficient. Once the students were done with that problem, one row shifted and they had a new partner and a new problem.
The kids enjoyed it. I took one picture without them knowing, but then they caught on and posed.
A little fun after a morning of state testing.