Probability
Exponential Functions
Power Laws
Quadratics
100
What is the P(green)?
P(green) = 3/8
100
What does an exponential decay graph look like?
100
Simplify
25y^0
25
100
What is the vertex of the parabola?
Vertex (6, 3)
200
What's the probability of grabing a red marble AND a second red marble WITHOUT REPLACEMENT from this bag?
P(R and R)=3/10*2/9=6/90
200
For the following equation, what is the percent rate of growth?
f(x)=350(1.45)^x
Growth percent rate = 45%
200
Simplify
(9x^6y^-5)(6x^2y^8)
54x^8y^3
200
What is the equation of the axis of symmetry in this parabola?
Axis of symmetry
x=-2
300
What is the probability of selecting someone at random who likes skateboards and snowmobiles?
P(likes skateboards AND snowmobiles)=80/160
300
What is the exponential equation for a car worth $25,000 when it was bought and its value depreciates at a rate of 12%?
y=25000(1-0.12)^x
y=25,000(0.88)^x
300
Simplify
(20x^7y)/(4x^3y^10
(5x^4)/y^9
300
Multiply the binomials so your final answer is in standard form.
(x-3)(x+7)
x^2+4x-21
400
What is the probability that a person who likes skateboarding randomly selected does not like snowmobiling.
45/125
400
The population of a city is currently 500,000, and it is growing exponentially at a rate of 3% per year. Estimate the population after 20 years. Round answer to the nearest whole number.
903,056 people
400
Simplify
(-5x^8y)^3
-125x^24y^3
400
Solve this quadratic using Zero Product Property (ZPP)
(x-1)(x+9)=0
x=1 and x=-9
500
What is the expected value of the spinner?
EV=(1/2)(6)+(1/4)(10)+(1/4)(-3)
EV=4.75
500
TWO-PART QUESTION:
You take a medication that has a half-life (decays by 50%) every 4 hours. If you take 200mg of the medication, how much will remain in your system after 12 hours? Will the medication ever reach 0mg in your system? Why?
After 12 hours, you will have 25mg of the medication still in your system.
There will never be 0mg in your system because exponential functions have a horizontal asymptote y=0, so there will always be a little bit of the medication in your system forever.
500
Simplify
((8xy^5)/(4x^3))^4
(16y^20)/x^8
500
Factor this quadratic
x^2+11x+24
(x+3)(x+8)