In how many different ways can I arrange my socks if I have 10 different pairs of socks?
10!=3628800
100
Does the exponential function y=.5(2)^x exhibit growth or decay?
Growth!
100
Simplify!
(x+2)(x+4)/[(x-7)(x+4)]
(x+2)/(x-7)
100
What is the missing term in the sequence below?
8, ___, 36
22
100
What is the center and radius of the circle indicated below?
(x-9)^2 + (y+4)^2 = 81
center: (9, -4)
radius: 9
200
In how many ways can I choose 4 of you if there are only 10 students in class?
10!/(4!6!)=210
200
If y=a(3)^x goes through the point (2, 10), what is the value of a?
10/9
200
Simplify!
(x^2 - 2x - 35)/(x^2 - 49)
(x+5)/(x+7)
200
What is the general rule for the sequence below?
6, 4, 8/3, ...
a_n = 6(2/3)^(n-1)
200
The cost per ticket to have a luxury box at a rock concert is inversely related to the number of people going. If 20 people go, each ticket is $55. How much is each ticket if 110 people go?
$10
300
In how many different ways can we rearrange the word mcgillen?
8!/2!=20160
300
A certain population grows at 2.72% per year. If there are currently 100 members of this population, how many will there be in 10 years (round to the nearest whole number)?
What is the sum of the series indicated below?
6 + 4 + 8/3 + ...
18
400
Expand (4x - 3y)^4
256x^4-768x^3y+864x^2y^2-432xy^3+81y^4
500
Mr. Avigian owns 4 pairs of pants, 7 shirts, and 3 sweaters. In how many ways may he choose 2 of the pairs of pants, 3 of the shirts, and 1 of the sweaters to pack for a trip?
C(4, 2) · C(7, 3) · C(3, 1) = 630
500
Strega Nona's pasta pot is creating more and more pasta! There are currently 2 cups of pasta and it is growing by 50% every 5 minutes. Luckily, she returns and stops the pasta from growing after 2 hours. If Big Anthony can eat 10% of the pasta that is created every 15 minutes, how long until only 2 cups of pasta are left?
about 1385 minutes from when Strega Nona stops the pasta.