### Algebra and moderation

Here is a simple way to assess students' understanding of algebraic functions. Suppose you gave a test and you are about to return them the paper. Ask them this:

Let's say your marks for this paper is x, and you are giving a choice to change your makes by using a certain function. Which function will you choose? You are only given one choice!

- x+5
- max(60, x+10)
- 100-x
- 10sqrt(x)
- 20ln(x)

Of course you can extend this problem into a two variable function. Suppose paper 1 is x and paper 2 is y. Which one would you choose as your marks?

- (x+y)/2
- sqrt(x^2+y^2)
- sqrt(xy)
- max(x , y)

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