Easy FOIL forward
The computer scrambles the numbers you put in. You get to expand the expression it comes up with.

Easy FOIL backward
Just like FOIL forward except that you factor the expression. The object of the exercise is to find out which way the computer scrambled your numbers.

Not so easy FOIL forward
In this exercise, the computer multiplies two of your numbers by -1, and scrambles all your numbers.

Not so easy FOIL backward
Again, the computer multiplies two of your numbers by -1 and scrambles all your numbers. It's up to you to figure out what the computer did.

Rocket science FOIL forward
This time, you don't know which of your numbers are multiplied by -1. It might be all of them, or none of them, or ...

Rocket science FOIL backward
Same idea as rocket science FOIL forward. If you get 20 in a row right in this section, maybe you should be teaching the class.