Quadratic Functions
Exponents and Radicals
Exponential Functions
Statistics
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
Identify the correlation as linear, quadratic, or exponential.
linear
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
Calculate the mode of the following data:
3, 4, 7, 5, 5, 7, 4, 5, 6
5
300
Solve the equation using square roots:
2x^2+4=10
x=+-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
Calculate the mean of the following data to the nearest hundredth:
3, 4, 7, 5, 5, 7, 4, 5, 6
5.11
400
Solve the equation using the quadratic formula:
x^2=15x-9
x=(15+sqrt189)/2~~14.37
x=(15-sqrt189)/2~~0.63
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
y=a(1+r)^(t)
$1349.23
400
Calculate the median of the following data:
3, 4, 7, 5, 5, 7, 4, 5, 6
5
500
Solve the equation by factoring:
4x^2+5x=6
x=3/4,x=-2
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
The following data set has a mean of 13.6 . What is the value of x ?
12, 13, 13, 14, x
16