I am teaching a student basic equations.
For now, I want him to drill:
- Exponentiation (by exponents 2, 3, 4 and 5)
- Substituting values in first degree equations (what is $(x-2)(5x+3)+3x+5$ when $x=0,1,2,3$)
- Simplifying first degree equations (take the same expression and convert it to the shortest 2 degree polynomial available)
For now this is my strategy for the student. This question is not about whether this a good idea or not, though I intend to ask that good or bad question in the future.
My question is: where can I find auto-grading drills for those skills, that I can pass to my student to do? I want the computer to say right away if he got it right or wrong.
I looked at Khan Academy, but they seem to mix too many different concepts in a basket and limit the amount of exercises. I want my student to be able to do series of 20 exercises or so, every week (until we get it right)
A small word of justification: My student gets the concepts involved. When I explain to him that you cannot make $3x^2+4x=7x$, he gets it. The problem is a lack of familiarity with the operations, so that some times he short-circuits the operations. That is why drills seem to be in order