Properties of Exponents
Exponential Functions
Graphing Exponential Functions
Exponential Growth and Decay
Randomness
100
Simplify
c^18/c^6
What is
c^12
?
100
What do the "a" and "b" values represent in the equation:
a(b)^x
What is the initial value (or the y-intercept), and what is the growth/decay rate?
100
Sketch a graph of exponential growth. Describe one key feature of the graph.
What is 
100
A savings account earns 4% interest per year. If Josiah puts 500 dollars in now, this is how much will he have after 5 years
What is $608.33?
100
List these expressions in order from least to greatest (without using a calculator):
2^10
10^2
2^9
9^2
What is
9^2
10^2
2^9
2^10
?
200
Simplify
(28n^9)^0
What is
1
?
200
This is the formula for exponential functions.
What is
a(b)^x
?
200
The graph of an exponential function will always cross the x - axis. True or false, explain your answer.
What is false.
200
The population of a small town is decreasing at a rate of 2% per year. in 1970 the population was 25,000. This is what the approximate population would be in the year 2020.
What is 9104?
200
Which is greater,
3^4+3^4+3^4
or
3^5
?
What is "they are equal"?
300
Simplify
-5x^-3
What is
1/125x^3
300
True/False
When given a common ratio value b when 0<b<1, this represents an exponential growth. Provide an example of a b-value that fit's the parameters shown.
What is true? What is a fraction between 0 and 1?
300
Graph
y = 2^x
300
The number of students in the book club is increasing at a rate of 15% per year and they started with 9 students. How much would they have after 7 years?
What is ~24 students?
300
Given the equation
y = $5000(1.015)^(x)
What is the interest percent rate?
What is a 1.5% annual interest rate?
400
Simplify
(-3us^8d^2)^4
What is
81u^4s^32d^8
400
This is the answer when f(x) = 10(5)^x is evaluated for f(3).
What is 1250?
400
Graph
y = 4(1/2)^x
400
A small town has noticed a recent change occurring in the population. Is this an increase or decrease in population and what is the change factor?
f(x)=100(1.03)^x
What is increase? What is a factor of 1.03?
400
How many times do you need to fold a piece of paper in order to reach from here to the Sun?
What is about 48?
500
Simplify
(20q^5p^-1)/(5q^3p^8)
What is
(4q^2)/p^9
500
The graph of an exponential function, identify the initial value and the horizontal asymptote. 
What is (0,2) or y=2? What is the x-axis or y=0?
V(x) = 2(4)^x
500
Find the initial value and the common ratio that is modeled on the following table.
What is 0.75? What is r=2?
500
You deposit $1500 in a bank account that pays 4% annual interest. Find the balance after 6 years. Round the the nearest cent.
What is
$1,897.98
y = 1,897.98
500
Write the following expression in 3 different ways:
3*x^8
There are multiple possible answers.
Here are a few examples.
What is ?
3*x^2*x^6
(3*x^16)/(x^2)
3*(x^4)^2