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I am teaching a student basic equations.

For now, I want him to drill:

  • Multiplication
  • 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

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  • $\begingroup$ I would consider going low tech and just having him use a Schaum's or Humongous book or the like. The answers are there (some books even have the worked solutions). Another thing: 20 exercises/week is not a lot. It's only 4 a day (5 day week). $\endgroup$
    – guest
    Commented Sep 28, 2018 at 6:07

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If the goal of the first bullet point is to practice multiplying single-digit integers, then I have a site for that specific skill:

http://www.automatic-algebra.org/timestables.htm

That site also has basic-level drills for operations on negatives, order-of-operations, etc., but not your other bullet points.

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You didn't indicate whether you cared about paying for the website, but IXL.com provides the granularity that you're looking for. From the link provided, I'd guess you'd want to drill your student on skills B.1-B.3 (operations), I.1-I.4 (variable expressions and equations), and perhaps V.1-V.11 (exponent properties). The website only provides 10 free problems per day, however, and it takes about 8 correct problems in a row to reach the most difficult questions in each section. Paying for access to all math questions is around $10/month.

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