Quadratic Functions
Exponents and Radicals
Exponential Functions
Probability and Statistics
Trigonometry
100
Graph the function:
y=(x+3)^2-7
100
Evaluate the expression:
8^(5"/"3)
32
100
Find the y-intercept of the graph:
y=4(1/3)^x
4
100
A standard six-sided die is rolled. What is the probability that it is NOT a 4?
5/6
100
Find angleA in triangleABC given angleC=90^o, a=6, b=8
angleA=36.87^o
200
Factor the expression:
x^2+9x+20
(x+4)(x+5)
200
Solve the equation:
8.35x^7=18261.5
x=3
200
Graph the function:
y=1/2*3^x
200
Find the mean, median, and mode of the data:
28, 29, 31, 37, 42, 42, 43, 46, 51, 53, 54, 57, 58
Mean: 43.9
Median: 43
Mode: 42
200
Write tantheta as a fraction in lowest terms.
3/4
300
Solve the equation using square roots:
2(x-4)^2+4=10
x=4+-sqrt(3)
300
Simplify the expression:
(6a^4b^-5)/(3a^2b^2c^2)
(2a^2)/(b^7c^2)
300
If there are initially 72 rabbits in a herd, and the number of rabbits doubles each month, the population P of rabbits after m months can be modeled by the formula P=72*2^m .
How many rabbits will there be after 3 months?
P=72*2^3=576
300
A jar has a total of 12 marbles: 6 are red, 4 are green, and 2 are blue. One marble is drawn at random and not replaced, and then a second marble is drawn. What is the probability that the first marble is blue and the second marble is green?
2/12*4/11=8/132=2/33~~0.061
300
Solve triangleABC given a=4, b=7, c=10
angleA~~18.2^o, angleB~~33.1^o, angleC~~128.7^o
400
Solve the equation by factoring:
4x^2+5x=6
x=3/4,x=-2
400
Simplify the expression:
(3x+2)(5x^2-2x+4)+(4x^3-7)
19x^3+4x^2+8x+1
400
If a person invests $1000 in an account that pays 10.5% interest compounded annually, what will the balance in the account be after 3 years?
Use the formula
A=P(1+r/n)^(nt)
$1349.23
400
Which would be the BEST sampling method to survey a community about an upcoming local election?
A: Mail surveys to 200 randomly selected members of each recognized political party.
B: Call 650 randomly selected registered voters in the community.
C: Ask every sixth person who enters the local library for a day.
B is the best choice.
(Choice A is a biased sample because you are pre-determining how much each political party is represented, and choice C is potentially biased because the people in the library may not be representative of the entire community.)
400
Write sintheta as a fraction in lowest terms.
24/25
500
Solve the equation using the quadratic formula:
x^2=15x-9
x=(15+sqrt189)/2~~14.37
x=(15-sqrt189)/2~~0.63
500
Solve the equation. Check for extraneous solutions.
x=sqrt(2x+24)
x=6
(The apparent solution -4 is extraneous.)
500
If a person invests $800 in an account that pays 4% interest compounded continuously, what will the balance in the account be after 2 years?
Use the formula
A=Pe^(rt)
$866.63
500
There are 6 people in a research group, and they need 4 researchers to present a recent project. In how many ways can they choose 4 presenters from the 6 people?
""_6C_4=15
500
Solve triangleABC given
a=13, b=15, angleA=56^o
Triangle 1:
c~~12.18, angleB~~73.05^o,angleC~~50.95^o
Triangle 2:
c~~4.60, angleB~~106.95^o,angleC~~17.05^o