June 2016 CC Alg I Regents #1

June 2016 Alg I 1

We can either recognize the factoring as DOTS Difference of Two Squares and see that the 16 would be 4 x 4 (not 8 x 8).  Then by checking the signs of the remaining answers (3) and (4) we would see that answer (4) would give us a trinomial and not the binomial given.

Another way to do this would be to use the TI-84:
Here is answer (1) compared to the original expression, um, not  a match!

June 2016 CC Alg I 1AJune 2016 CC Alg  1A tableJune 2016 CC Alg I 1A graph

Below is answer (2) compared to the original expression.  Also not a match!!
June 2016 CC Alg I 1BJune 2016 CC Alg I 1B tableJune 2016 CC Algebra I 1B graph

And now to check answer (3) and from the table voila!!  also we only see one graph which means the Y= are the same 🙂
June 2016 CC Alg I 1cJune 2016 CC Alg I 1C TableJune 2016 CC Alg I 1c graph

 

 

 

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