# Jan 2019 Algebra I Regents #2 This question asks students to substitute or plug in -3 for x so
g(-3) = -2(3)^2 + 3(-3) being careful about order of operations 🙂

Students can check their work by using the TI-84  # Get the Math and the Points Aug 18 CC Algebra I Regents #30 The left hand side of the equation is almost a perfect square:
In order for it to be a perfect square:  x^2 + 4x + ____ = 2 + ____
To find the number that completes the square take 1/2 of 4 and square it
So 4 gets added to both sides
Then the right side becomes 6
Then we can write the left side like this: (x + 2) ^2
So (x + 2)^2 = 6
then take the sqrt of both sides but do not forget the +/- with the sqrt
Then subtract 2 from both sides:
You will have two answers a plus and a minus and you can check your work by using the quadratic formula 🙂

# Get the Math and the Points Aug 2018 CC Alg I Regents #28  To solve a quadratic equation ax^2 + bx + c = 0, wecan use the quadratic formula above given on the Regents Reference Sheet.

In order to find out if a solution is rational or irrational, we focus on the algebra under the radical: b^2 – 4ac: If b^2 – 4ac is a perfect square, then when we take the square root, we will get a rational number but if b^2 – 4ac is not a perfect square (like 4, 9, 16 etc), then the solution will be irrational.

In the equation 2x^2 + 3x – 10 =0, a=2, b=3 and c = -10
Once you substitute in those numbers into b^2 – 4ac, do you get a perfect square or not?

# Get the Math and the Points Aug 2018 Common Core Algebra I Regents #27 Average rate of change is another name for slope
(big hint given in the units feet per second).
Slope is change in y / change in x — the slope formula is (y2 – y1)/(x2 – x1)

Use the two points (3, 6.26) and (9, 3.41) for (x1, y1) and (x2,y2).     