3From the Jan 2016 Common Core Algebra I Regents

First entry point into this question:
What is the y intercept?  Where does the line cross the y-axis?
The equation of a line is y = mx + b (m=slope, b = y-intercept)
That would be at (0,-3) making the equation y = mx – 3
Leaving only answers (1) and (2)

Second entry point:
Does the line have a positive or negative slope?  It goes up from left to right so it has to be a positive slope leaving answers (1) and (2) still

Third entry point:
Is the shading above or below the line?
We will use the symbol on the TI-83 that looks just like our graph above as students must know how to say/think/read the inequality symbol (this knowledge/skill is not easy to assess as people have a 50/50 chance of guessing if the inequality sign is greater or less than!!)

Look above at the half triangle to the left of Y1 it means less than and therefore the shading is below the line…this is not a match for the graph in the problem.

But look below, entering y ≥ 2x – 3,  voila we have a match!!!

 

From the Jan 2016 CC Alg I Regents

For some reason the Regents loves rational vs irrational.
Look at the 4 expressions on the TI-84.
Which one(s) result in something different?

If you said (II) you are correct.  What makes (II) different?  
It is irrational!  Do you see a pattern?  You should not see a pattern 🙂
Some popular examples of irrational numbers are: √2, √3 and  ∏.

In contrast, all other choices are rational.
What word is in the word rational?  (sometimes s’s say rat!!)
OK, um what Math word is in the word rational?  (ratio!!)
Rational means can be written as a fraction and rational numbers terminate or have a pattern.  -.025 terminates as does 5 and 21 so they are all rational.

 

 

From the January 2016 Common Core Algebra I Regents:

This is a TI-83/4 question:  Put the equation into Y=
Hit 2nd graph to see the table
Make note of the Y values when x =3 and x = 5
Find the difference (subtract) those two values and there you have it!!

(Be careful as both of the values are listed as answer choices but the difference is what is important)

Week 3 27.163    Week 5 10.107  subtract them and you have your answer for 2 points!!

If you don’t want to use the table you can just plug in 3 as the exponent in the equation and get 119.67(0.61)^3 = 27.163  and then plug in 5 as the value of x and get 10.107 and then find the difference.

To further learning, extension questions include:
What kind of function is this?  How do you know?
Is it growing or decaying?  What is the growth/decay rate?
What is the difference between revenue and profit?
Find a recent movie that grossed >$119 million in its first week of release

For student classwork/homework, here is the Word file:
Jan 2016 CC Alg I 3 Get the Math and the Points

 

 

 

 

 

 

As part of the Learn, Pass, Graduate series on the Regents exam, problems from the tests will be featured on a daily basis.
From the January 2016 Common Core Algebra I Regents

Use your TI-84
Put the equation into Y=, then press graph!!

Read carefully — they want the       x     value of the minimum point
(not the y value which can be seen at (2,4).

This is easy ladies and gents — this is attention to detail.
2 points done!!

This is a great Do Now or exit slip…also easy to do at home 🙂

For student classwork/homework, here is the Word file: Jan 2016 CC Alg I 1 Word