Functions/Exponential Growth and Decay
Half-Life/ Compounding Interest
Inverse Functions/ Logarithms
Complex Numbers
Factoring
100
Let f(x) = 2x - 1 and g(x) = x^2 + 5x. What is g(2) + f(5)?
What is 23?
100
The definition of this word is the amount of time for a substance to decay to half of its size.
What is Half-Life?
100
If f(3) = 10, then what will f-1(10) = ?
What is 3?
100
What is i?
What is the square root of -1?
100
Factor: 4x + 28
What is 4(x + 7)?
200
Let f(x) = 2x - 1 and g(x) = x^2 + 5x. What is g(f(1))?
What is 6?
200
Argon-10 has a half life of 7 years. How long will it take a 8mg sample to decay to only 1mg?
What is 21 years?
200
If f(x) = 4x + 20, what is f-1(x)?
What is (x - 20)/4?
200
What is 6i^2?
What is -6?
200
Factor: 8x^2 + 4x
What is 4x(2x + 1)?
300
A population of alligators doubles every year. If they start with 150 in the year 2010, how many will there be in 2014?
What is 2,400?
300
Argon-10 has a half life of 7 years. How much will an 8mg sample have left after 15 years?
What is 1.81mg?
300
What is 3^0 + log(100)?
What is 1 + 2 = 3?
300
What is i^17?
What is i?
300
Factor: 16x^2 - 36
What is (4x + 6)(4x - 6)?
400
A population increases at an annual growth rate of 2.4%. If there are 13,000 people now, how many will there be in 7 years?
What is 15,347 people?
400
Suzi puts $40,000 into her savings account that makes 4.2% interest compounded quarterly. How much money will she have after 9 years?
What is $58,259.59?
400
What is log5(1) + log3(9)?
What is 0 + 2 = 2?
400
What is the square root of -75?
What is 5i(square root of 3)?
400
Factor completely: 3x^3 + 27x^2 + 42x
What is 3x(x + 7)(x + 2)?
500
A population decreases by 5.5% every year. If there are 15,000 people now, how many were there 8 years ago?
What is 23,020 people?
500
Suzi puts $40,000 into her savings account that makes 4.2% interest compounded continuously. How much money will she have after 9 years?
What is $58,374.51?
500
The population of the town of Quahog is 24,560. The annual growth rate is 2.1%. How long will it take the town to reach a population over 30,000?
What is 10 years?
500
Solve for x: 2x^2 + 450 = 0
What is 15i and -15i?
500
What are x-intercepts of the equation: y = 2x^3 + 6x^2 - 108x
The factored form is 2x(x + 9)(x - 6). So the x-intercepts are 0, -9, and 6.
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