In Algebra 2, I teach conics at the end of the year. I always include the section that includes systems of non-linear equations, because I think it’s a good review of systems of linear equations and also includes the new concepts. I love this ladder activity as a wrap up!
I let my students solve each system using any method they prefer. One of my favorite parts is watching them learn to figure out the most efficient method. Since all of the problems link together like dominos, students know if their answer is incorrect. That totally frees me up from answering “is this right?” a zillion and a half times.
I like to copy it on colored paper so I can hang them afterward. :) You can find this ladder activity in my TpT store.