How many possible ways are there to arrange the
letters in the world "ALGEBRA"?
7!/2! or 7*6*5*4*3
100
Evaluate
log2(100)/log2(10)
2
100
How many perfect squares of whole numbers are there between 1-100 (inclusive)
10
100
You are given two equations for standard lines in the x-y plane. After finding that they have the same slope; you are shocked to find a point that serves as a solution. How is this possible?
They are the same lines and all points along them are solutions.
100
What is the difference between the graph of
F(x) = (x+1)(x+2)/(x+1)
and
G(x) = x+2
F(x) has a hole at x=-1, G(x) does not
200
Total Set = {Every student in this class}
A = {Girls}
B = {People in Team Stegosaurus}
Who is in the following set
~(A U B)
Michael, Patrick
200
Solve for x
8^x = 2^45
x = 15
200
A toilet brought just North of the equator flushes counter-clockwise. A different toilet just South of the equator flushes clockwise. Why is this?
A. The toilets must be built differently
B. Centripetal force
C. The Coriolis Effect
A
200
find the inverse (no calcs) of the following matrix
|4 3|
|1 0|
|0 1 |
|1/3 -4/3|
200
BONUS, Secret 450 Point Problem
Simplify
(6x+5)/(8x+1) - (8x^2 + 2x - 6)/(32x^2-20x-3)
(4x+3)/(8x+1)
300
A website requires a 4-Letter password. There must be one and only one vowel. How many possible passwords are there? ('y' doesn't count as a vowel here)
5*4*21!/17!
or 20*21!/17!
300
Simplify: log25(4)*log4(5)
1/2
300
If the center of a standard rainbow's arc is directly NE of you which direction is the sun from you?
SW
300
Put the following into vertex form and vertex using Completing the Square
y= x^2 - 12x + 3
y = (x-6)^2 - 33
(6,-33)
300
Solve for x
sqroot(2x-3) = x-3
x=6
note that x=2 doesn't work
400
How much more likely is it to roll a total of 7 on two dice than a total of 4?
P(7)/P(4)
2 times more likely (6/36 vs 3/36)
400
Solve for x
log(x) + log(x-3) = 1
x = 5 (not -2)
400
In Einstein's famous E=mc^2 equation, what does c stand for?
The speed of light in a vacuum
400
A radioactive isotope has a half life of 8 years. What is its yearly rate of decay, as a percentage? (Calcs okay)
8.3% decay
400
Create a function with vertical asymptotes at x=1 and 0 an x=intercept at -5
and a hole at x=2
(x+5)(x-2)
/
x(x-1)(x-2)
500
What does 5!*2^5*63*15/10! simplify to?
1
500
simplify (to a single value)
logroot2(8^23)
46*3=138
500
What famous fictional character is known for getting around by brachiation?
Tarzan
500
Write the equation for a quadratic function that passes through the following points
(4,6), (10,0), and (2,6)
and has a hole at x = -2