Sequences & Series
Regression/Transformations
Composition/Inverses
Prob./Perm./Comb.
Binomial Theorem/ Pascal
100
Is the following series arithmetic or geometric?
{-5, 9, 23, 27, 51...}
Arithmetic
100
Does the graph have positive, negative or no correlation?
negative
100
What are the domain and range of the following graph?
Domain: (neginf, 4]
Range: [-5, 2]
100
would you use a permutation or combination to answer the following question? you don't have to answer it.
Someone has stolen all the marshmallows from the Lucky Charms' Factory. If the police have 9 suspects, how many ways can they select 5 for a lineup?
Combination
100
What is the sum of the terms in the 8th row of Pascal's Triangle?
256
200
Find a28:
{-5, 9, 23, 37, 51, ...}
373
200
Use the following equation to estimate fuel consumption at speed of 53mph.
y=-0.534x+60.80
32.498
200
Find the inverse of the following functions:
g(x)=4x+7
g'(x)= (x-7)/4
200
How many different five-letter words can be formed from the word BIRTHDAY? (the words do not have to make sense in English or any other language).
6720
200
What are the first 6th, 7th and 8th terms of the 23rd row in Pascal's Triangle?
33649, 100947, 245157
300
Find the explicit formula of the following series:
{-8, 16, -32, 64,...}
an=(-8)(-2)n-1
300
Is a linear, exponential or quadratic the best model for this data?
Year: 2005 2006 2007 2008 2009
Sale: 12 19 29 37 45
Linear
300
Use the parent function y=(1/x) to find the equation under the translation T3, -1
y=(1/(x-3)) -1
300
A pair of dice is thrown. What is the probability that the dice show doubles or a sum over 7?
1/2
300
expand (2x+5)3
8x3 +60x2 +150x+125
400
Find the sum:
{400+200+100+...}
Sn=800
400
What is the EQUATION of the model of best fit?
Temp (C): 17 19 20 23 24 27 29 30
Chirps: 105 110 126 130 156 171 196 212
y=0.35x2-8.492x+147.806
400
Use the parent function y=(1/x) to find the equations of the asymptotes under the translation
T3, -1
y=-1
x=3
400
You are on your way to Hawii and of the 7 swimsuits you own, you have to choose just 4. How many different combinations of 4 suits can you take?
35
400
What is the coefficient of x2 in expansion of (2+x)5
80
500
Find S37
{(-3)+(-7)+(-11)+...}
-2775
500
The half-life of Radium is 1620 years.
How much radium would be present after 4500 years? do not round until your final answer.
0.87 grams
500
f(x)=-9x2 h(x)= 1/x
find h(f(-1)).
-2/9
500
Two fair dice are rolled:
Event A: first die odd
Event B: Sum of the dice is 8
Are A & B independent or dependent?
Dependent
500
Expand:
(y3-4x)3
y9-12y6x+48y3x2-64x3