Perms/Coms
Probability
Exp/Logs
Poly/Sinu
Rat Exp
100

This is the type of problem where very specific roles are assigned to certain people

What is a PERMS problem?

100

This is the conclusion to draw if:
the probability of the union of A or B is 0.9, the probability of B is 0.5, and the probability of A is 0.4

What is sets A and B are MUTUALLY EXCLUSIVE? (test:  0.9 = 0.4 + 0.5, there is no intersection)
100

This is the exponential form of 3logx=15, after the power law is used.

What is 10^15 = x^3?

100

This is the factored form of a tail-down cubic with 2 roots at x = 4 and 1 root at 0

What is y = -x(x-4)(x-4)?

100

This is the simplified form of (3x- 12) / (9x+18)

What is (x-2)/3 ?

200

This is the formula needed when analyzing the possibilities for arranging the letters in MISSISSIPPI?

What is the repeater formula, n!/(a!b!c!)  ?

200

This is what we know if P(A) = 0.4, P(B) = 0.2, and P(A intersect B) = 0.09

What is that sets A and B are DEPENDENT?

or Their union is 0.51 and non-mutually exclusive

200

This is the combined form of 4lnx - 2ln6x, after power law and quotient law are used.

What is ln(x^2 / 36) ?

200

This are the amplitude and median of y = 5sin(3x-1)+8  (median ~ midline)

What is amplitude 5 and median 8?

*review the form y=a*sin(bx + c)+d

200

These are the restrictions on x within 1/(2x^3 - 18x)

What are x cannot be 0, 3, -3?

300

This is the simplified form of n(n-4)! / (n-2)!

What is n(n-4)(n-3)  ?  (factorial is cancelled out)

300

Using a tree diagram this is the probability pathway for  P(unburnt|B) given that:  60% of cookies are baked in oven A, the rest in oven B; Oven A burns 9% of cookies while oven B burns only 5%.

What is P(unburnt|B) = 0.4 x 0.95 ?

- answer 38% are unburnt from oven B

300

This is an exhaustive description of the shape of y = 3(0.5)^x

What is "an exponential decay function, with y-intercept at (0,3), dropping 50% over every interval x, with asymptote at the x-axis"?

300

This is the period in radians, rounded to the hundredths, for y = 2sin(4x)

What is 1.57 radians?

300

This is the product of (12x+36)/(20+4x) multiplied by (6x+30)/(6x+18)

What is 3?

400

This is the expression for a hand of 5 cards with at least 3 kings, which involves 2 cases.

What is (4C3x48C2) + (4C4x48C1)?

400

This is the probability fraction in favor of snow, given the odds against snow today at 42:19

What is P(snow) = 19 / 61?

400

This is the difference between y = 5logx and y = -5logx functions

What is they are reflected across the x-axis?

y = 5logx increases slowly from Q4 into Q1

y = -5logx decreases slowly from Q1 into Q4 

400

This is the first positive intersection point, rounded to tenths, between y = 2sin(3x) and y = 2^x

What is x = 0.2?

400

This the quadratic equation that must be solved to answer 4/(x+5) = 6x/(x-7)

What is 6x2 + 26x + 28 ?

500

If a route through a grid requires 5 moves north and 4 moves west, this is an appropriate factorial expression

What is 9!/(4!5!)  ?

500

This is the probability in decimal form of picking a red King followed by a black even number, if the draws are consecutive and without replacement.

What is P(black EVEN|red K ) = 0.00754 (2/52)x(10/51)?

500

This is the relationship between y = 2(10)^x and y = log(x/2)

What is "they are inverse functions"?

*review the steps, confirm they look right on Zoomsquare*

500

This is the amount of material remaining when 400 g of radioactive material decays for 30 days, with half life of 18.4 days, to 3 digits.

What is 129 g?

calculate 400(0.5)^(30/18.4)

500

This is the EXACT solution in the form m/n to 

1/(2x)  +  5/(4x)  =    9/(x+1), where we report m, n.

What is 7, 29?