Definition of a function:

Every x maps to a unique y

Notice Jan has 31 days and that’s it

March has 31 days and April has 30 days

But the number of days in February depends on leap year vs non leap year

So which month maps to two outputs?

(https://www.timeanddate.com/calendar/months/

# Get the Math and Points June 2017 CC Alg I Regents #8

Using substitution, we can rewrite the second equation as

3(-2x + 2x + 8) = 12

3(8) = 12

24 = 12

huh? NO solution

If we were to solve the second equation for Y=, we would get:

by distributing the 3

-6x + 3y = 12

add 6x to each side

3y = 6x + 12

Divide both sides by 3

y = 2x + 4 this is parallel to the first line y = 2x + 8 and therefore the lines will never meet

making the answer “No solution”

# Get the Math and Points June 2017 CC Alg I #7

First look at the graph — looks super nonlinear and pretty exponential

Use the point (0,4).

We can eliminate answers (2) and (3), as if we substitute h=0, the output would be 6/5 and 4.2 as opposed to the 4 for the y value we are looking for.

Now we can use the point (1,8) to see if y = 8 when x = 1

For answer (4), if we substitute in x = 1, we get 2/3(1)^3 – 1^2 + 3(1) + 4 = 2/3 – 1 + 3 + 4≠ 8

Try answer (1): using order of operations: 4(2)^1 = 4(2) = 8

4(2)^2 = 16 and 4(2)^3 = 32. That’s it –2 points

You can also use Y= and check the table for a match:

# Get the Math and the Points: June 2017 CC Alg I Regents #6

This problem can be figured out using the idea of DOTS: Difference of Two Squares has a + and a -, such as x^2 – 9 = (x + 3) (x – 3). Therefore only answers 3 or 4 are possible! Answers (1) and (2) will result in a trinomial with 3 terms but we only want 2 terms.

Looking at answer (4), (8x^2)(8x^2) = 64x^4 and we are looking for 16x^4.