Dear Vivian,

Sorry, I think that I sent you the wrong message (of someone else). I apologize!

I now carefully looked at your test and here is the correct version.


 Please consult

https://sites.math.rutgers.edu/~zeilberg/Hist21/mt1S.pdf

for the full solutions.

You got   108 points (out of 120).

Here is what you got wrong:

#3: -2 points (Everything was perfect, until the last step, that is a big (probably careless) conceptual area, in elementary algebra)


#7: -2 points (EF is a sum of DISTINCT unit fractions)



#12: -10 points (you did not explain, and a3 is wrong)






 Best wishes,

   Dr. Z.