Logarithms and Exponential
Rational Equation and Expressions
Sequences and Series
Probability
Conic Sections
100
Rewrite 5^3 = 125 as an exponent
Log_5(125)=3
100
What is the vertical asymptotic of 1/(3x-2)
x= 2/3
100
First 5 terms of a_n=4n-1
3,7,11,15,19
100
Probability that a fair coin gets flipped heads 3 times in a row.
1/8
100
All the points equal distant to a fixed center is know as a ___________
circle
200
Solve log_3(243)
5
200
What is the horizontal asymptote of (3x^2 -7x+5)/(9x^2+2x+8)
1/3 or .33
200
First five terms of: a_1:2 a_n:3*a_(n-1)
2,6,18,54,162
200
Standard deck of cards, what is the probability of picking a spade, given that the card chosen is black.
1/2
200
What shape and orientation is the following: −9x^2 + y^2 − 72x − 153 = 0
Vertical hyperbola
300
solve for x in 4^(x-2)=64
5
300
Solve for x: 1/x^2 +1/x = 1/(2x^2)
-1/2
300
Evaluate the sum: 7+11+15+...+27
102
300
How many way are there to randomly select 4 numbers out of 20?
20*19*18*17/(4*3*2*1)=4845
300
Graph the following: (x − 1)^2 +y^2/25 = 1
See graphs
400
simplify log_2(5) + log_2(20) - log_2(25)
2
400
Find all holes and asymptotes of (x^2+6x+5)/(x^2-2x-3)
hole:x=-1, v.a:x=3, h.a. y=1
400
(n:1-15)Sigma[3n+2]
390
400
How many way are there to arrange 5 letter of the alphabet, given that you are not allowed to repeat any letters.
26*25*24*23*22=7893600
400
Write the following in standard form: x^2 + y^2 + 6x − 2y + 9 = 0
(x + 3)^2 + (y − 1)^2= 1
500
log 5 + log (x + 3) = 2
17
500
1=1/(x^2+2x)+(x-1)/x
x=-1
500
(n:1-infinity)Sigma[7(3/4)^n]
28
500
Calculate 9P3/9C3
6
500
Graph the following: x^2 − y^2 − 2x − 8 = 0
(x − 1)^2/9 −y^2/9 = 1
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