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Exponentials/Logarithms
Conics
Sequences/Series
Probability
Miscellaneous
100
Convert to exponential form: ln(4)=1.386
e^1.386=4
100
Classify and put in correct form: x^2+4y^2-6x+8y+9=0
Ellipse: (x-3)^2/4+(y+1)^2/1=1
100
Find the first 5 terms of the sequence: an=(5n+3)/2
4, 13/2, 9, 23/2, 14
100
What is the probability of rolling a 3 using a pair of dice?
1/18
100
Find the missing term of the arithmetic sequence: 3, _, 7
5
200
Condense: 5log(x)-2log(y)+log(x)
log(x^6/y^2)
200
Graph: x^2+y^2+6x-8y-24=0
Center: (-3, 4), radius: 7
200
Find the explicit formula: 2, -6, 18,...
an=2(-3)^(n-1)
200
What is the probability of rolling less than 9 using 2 dice?
13/18
200
Find the missing term of the geometric sequence: 4, _, 25
10
300
Expand: log(6y/xz)
log(2)+log(3)+log(y)-log(x)-log(z)
300
Graph: 4x^2-16y^2-8x-64y-76=0
Center: (1, -2), vertices: (-1, -2), (3, -2), foci: (-1.2, -2), (3.2, -2)
300
Find the sum of the first 20 terms of this series: 2+5+8+11+...
610
300
How many ways can the three top students out of a class of 20 be chosen?
1140
300
Find the fourth term: (x-2y)^5
-80x^2y^3
400
Solve: 8^x=4^(2x-3)
6
400
Graph: x=-y^2+2y+8
x-intercept: (8, 0), y-intercepts: (0, 4), (0, -2), axis of symmetry: y=1, vertex: (9, 1)
400
Write in sigma notation: 8+12+18+27+81/2+243/4
8(3/2)^(n-1)
400
How do you find expected values and how are they used?
Expected values can be found doing probability*value and they are used to determine if something is fair or unfair.
400
Expand completely: (2x-5)^3
8x^3-60x^2y+150xy^2-125
500
You invest $1000 in an account that yields 8% interest. In how many years will you have doubled your money?
8.7 years
500
Solve: x^2+y^2+2x-6y+1=0 x^2+2y^2+2x-4y+4=0
(-2, 3), (4, 3)
500
Find the infinite sum: 81+54+36+...
243
500
What is the probability of rolling an even number on a die and flipping heads?
1/4
500
You take some ice cream out of the freezer (-4 degrees F) and put it on the counter (70 degrees F). In 15 minutes, the ice cream is 20 degrees F. What is the cooling constant?
1.6