Category Archives: test prep

Get the Math and Get the Points June 2016 CC Alg I Regents #7

June 2016 Alg I 7

Which of these numbers are in between 7.0 and 7.8?
It could have been more complicated than that but if we try the other answers, for example, 8.8 and add that to 7.2 and 7.6 and then divide by 3, the result will not be between 7.2 and 7.6.
Students have 3 hours so they can prove that the other anseers also do not work and find their answer.  2 points!!

Get the Math and the Points: June 2016 CC Alg I #6

June 2016 Alg I 6 (2)

The x values are the same in all 4 answer choices.  We need to focus on the y-values!
One of the best definitions of a linear function is “every time x changes by 1, y changes by the same amount”.  We can determine this by looking at the differences in the y values or f(x), g(x), h(x) or k(x)
(1) f(x): each time the x value goes up by 1 the y value goes up by how much?
(2) g(x) is each change the same?  (from -1 to 1 is a difference of 2 but from 1 to 5 is a difference of 4)
(3) h(x) is each change the same?  from 9 to 12, it changes by 3 but then from 12 to 17, it changes by 5
(4) k(x), is each change the same?  from -2 to 4, the change is 6, but from 4 to 14 the change is 10

That’s it — you just found the linear function!! 2 points!