My son is in the review section of chaper 11 of Art of Problem Solving’s Introduction to Algebra book. I asked him to chose a problem for our movie today and he chose a “greater than / less than” problem that connects to factoring. It is a nice way for kids to see a connection between arithmetic and algebra:

Since that problem went fairly quickly, I grabbed one of the example problems from earlier in the chapter that had caught my attention. This one is a really neat example of how algebra can help solve an arithmetic problem:

A fun morning – I really love the problems in the Art of Problem Solving books!