Rational means that the number can be written as exact number or with a repeating decimal. Which of the above is either a terminating or repeating decimal?
Category Archives: Regents
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
Best Wishes to Regents Exam Takers
Dear New York High Schoolers,
Best on your Regents exams this week.
Make sure you get to school early and eat a good breakfast!
Do not leave early: Spend all the allotted time (3 hours — unless your IEP is for more time)
Eat a good breakfast
Read carefully
Go over the entire exam after you finish and check your work
Sincerely,
Robin the Math Lady
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?
