Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. Did you reach 1 for an answer? You should have. How does this number game work? Hint: Redo the number game using a variable instead of an actual number and rewrite the problem as one rational expression. How did the number game use the skill of simplifying rational expressions?

Answer 1

ex) 5
5^2= 25-1= 24/4= 6-5= 1
yes
It works because if you work backwards you get your original number.

Answer 2

Evaluate 5(11 + 22 - 10) – 19