prerequisite
functions
logs and exp
Solving triangles
Graphing sin/cos
sequence
and series
and series
statistics
probability
100
The number 45,000,000 in scientific notation
What is
4.5 xx 10^7
100
The domain and range of
f(x) = x^2 -2x + 4
What is
Domain:
(- oo, oo)
Range:
(1, oo)
100
The domain and range of
y=log(x+4)-3
What is
Domain:
(-4,oo)
Range:
(-oo,oo)
100
The measure of the indicated angle
What is 66.4o
100
(-11pi)/6
converted to degrees
What is -330o
100
The following is either geometric or arithmetic. Find either r or d.
1/4,3/8,9/19,...
What is geometric, r= 3/2
100
A bike shop owner has 12 bikes in the showroom. The owner wishes to select 5 of them for display at a show. How many different ways can he select 5?
What is 792
100
A dice is rolled once, The probability of landing on an even number
What is 1/2
200
Simplified
(x^2 + 2x)/(x^2+4x+4)
What is
x/(x+2)
200
g(3) - g(4)
g(x)={(x+5 if x le 3 ), (2x-1 if x>3):}
What is 1
200
Suppose you deposit $6000 into a savings account that pays an annual rate of 4% compounded continuously. How many years will it take for the balance to reach $8000?
What is 7.19 years
200
A lighthouse is 40 m tall and the beacon atop the lighthouse is sighted by a ship 150 m from shore. Calculate the angle of elevation at which the lighthouse is sighted from the ship, correct to the nearest degree.
What is 15o
200
The amplitude, period , phase shift and vertical shift of the function
y=-2sin(4x-pi)
What is amp = 2
Period= pi/2
phase shift pi/4
no vertical shift
200
Find the recursive formula given the explicit formula
an = 7n -6
What is
a1 = 1
an = an-1 + 7
200
500 freshman took an algebra test. The scores were distributed normally with a mean 75 and a standard deviation of 7. The number of students scored between 61 and 75
What is about 238 students
200
A lottery box contains 50 lottery tickets numbered 1 to 50. If a lottery ticket is drawn at random, what is the probability that the number drawn is a multiple of 3 or 5?
What is 23/50
300
3abs(x-9) + 5 = 2
solved
What is no solution
300
The interval of the graph that increases, decreases or is constant
What is
Inc [-4,-1)
Constant (-1,1)
Dec (1,3]
300
The expression as a single logarithm
logy -4(logr+2logt)
What is
log(y/(r^4t^8))
300
The value of cos U and csc U
What is cosU = 2/3
csc U = (3sqrt5)/3
300
Given
tan(theta) = 1/2
and
sin(theta) < 0
what is the value of
cos(theta)
What is
(2sqrt5)/5
300
The sum of the infinite geometric series if it exists.
a1 = 98 r = -3/4
What is 56
300
The EPA fuel economy estimates for automobile models tested recently predicted a Normal model with a mean of 24.8 mpg and a standard deviation of 6.2 mpg.
The percent of cars that get less than 31mph
What is about 84%
300
There are 9 nickels, 3 dimes and 8 quarters in a purse. The probability of selecting a dime, then a nickel, then a quarter if no replacement occurs
what is 3/95
400
abs(2x+1) -4 = 28
solved
What is x= 31/2 and -33/2
400
(f(2) + f(0)) X f(-8)
What is 18
400
3^(x+5)-5=15
solved
What is x= -2.2732
400
Find angle B
C=34o , b= 4, c=6
What is 22o
400
The terminal side of angle theta passes through point (-1,-3), the exact value of
sin(theta) and csc(theta)
What is
sin(theta) = (-3sqrt10)/10 and csc(theta) = (-sqrt10)/3
400
The sum of the arithmetic series
7+4+1+...+(-32)
What is -175
400
The first 4 questions on a quiz are true-false questions, while the next 6 questions are multiple choice with possible answers a, b, c, d and e. How many different possible answer sequences are there fro these 10 questions
What is 250,000
400
A bag contains 5 red marbles and 9 blue marbles. A marble is drawn and then replaced. This is done 10 times. The probability that a red marble is drawn exactly 8 times
What is .004
500
8y^3+125
factored
What is
(2y+5)(4y^2-10y+25)
500
The transformations of the graph
-abs(x+4)-1
What is reflects over the x-axis, left four and down 1
500
5ln(4x-6)=-6
solved
What is x=1.5753
500
Solve the triangle
a=4, b=5, c=8
What is A= 29o
B= 48o
C= 103o
500
The exact value of
cot(pi/4)
What is 1
500
The next two terms of the geometric sequence 9,6,4
What is 8/3, 16/9
500
The range, mean, standard deviation and variance:
{11,18,9,20,16,18,11}
What is range : 11
mean = 14.714
SD = 4.3094
Var= 18.5709
500
Expand
(x+3y)3
What is x3 + 9x2y + 27xy2 + 27y3