Algebra
Pre Calc
Calc
Stat
Random holiday knowledge
100
Find a number such that when 5 is subtracted from 5 times that number, the result is 4, more than twice the number.
Let us consider the number as ‘x’
Then, five times the number will be 5x
And, two times, the number will be 2x
So,
5x – 5 = 2x + 4
5x – 2x = 5 + 4
3x = 9
x = 9/3 = 3
x=3
100
for p(x) = -x(x-4)(x+2), on what interval is p(x) >= 0?
.
[-2,0] U [4,∞)
100
A particle is moving such that its position, in feet, is modeled by s = (2t2 +1)8 where t is in seconds. Find the velocity and acceleration of the particle at t = 0. indicating units of measure.
v(t) = 8(2t2 + 1)7 (4t)
v(t) = 32t(2t2 + 1)7
v(o) = 0 ft/sec
a(t) = (32)(2t2 +1)7 + (32t) (7(2t2 +1)6 (4t))
a(0) = 32 ft/sec2
100
Given a population can be approximated using N(185,15), what is the z-score for 170?
-1
100
Finish the sentence: "Tell me baby, do you recognize me?...
Well, its been a year, it doesn't surprise me
Last Christmas
200
Solve the system of equations:
y=-3x+4
x+4y=-6
x=2
y=-2
200
Evaluate log4(1/64)
x=-3
200
∫1/x2 dx =
-x-1 + c
200
Occurs when 2 variables are associated in such a way that their effects on a response between the groups in an experiment is too large to be explained by chance variation in the random assignment
Confounding
200
What’s the best-selling Christmas movie of all time?
Home Alone.
300
Factor this equation completely:
6×3- 4×2 – 16x
2x(3x + 4)(x – 2)
300
Simplify 3sin2x - 3
-3cos2x
300
determine the points of inflection for f(x) = x5 - 5x4 + x.
Inflection at x=3 cuz f'' changes sign
300
The correlation between 2 quantitative variables X and Y is known to be = 0.55. If we double each X, decrease Y by 12, and switch the axes, the new correlation would be...
0.55
300
How many reindeer does Santa have and you must name all of them
9 reindeer - Dasher, Dancer, Prancer, Vixen, Comet, Cupid, Donner, Blitzen, and Rudolph.
400
Find the vertical asymptotes of the function.
y= x2-36
--------------
x2-8x+15
x = 3 and x = 5
400
Solve for all x on the interval 
45 degrees and 135 degrees
400
evaluate arcsin(-1/2)
-π/6
400
Suppose a data set (weight vs height) of 250 adult women has a correlation of r = 0.6. If the woman is at the 84th percentile among women for height, then her predicted weight would be approximately what percentile?
73rd percentile
400
What U.S. state is home to the town of Santa Claus?
Indiana
500
What is the domain of the function f(x) = 2x – 4?
All real numbers
500
Given the equation 
120 degrees or 240 degrees
500
The intermediate value theorem states that suppose f is a continuous function on the closed interval from [a,b]. For any number k between f(a) and f(b), there exists a point c between a and b such that _______
f(c) = k
500
There are 18 boys and 12 girls in a class. There are 13 boys who like cookies and 10 girls who don't like cookies. What is the probability of randomly selecting a student who is a boy or a student who likes cookies but NOT both? Answer in a fraction
15/30
500
In Elf, what department store does Buddy get a job at?
Gimbels