Mod 9 Review Handout
Define the following in your own words
Exponential growth-
Exponential
decay-
The Laws of Exponents-
Complete the following
table regarding the 7 laws of exponents:
|
Law |
Example |
Explained
in words |
|
1 |
|
|
|
2 |
|
|
|
3 |
|
|
|
4 |
|
|
|
5 |
|
|
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6 |
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7 |
|
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Practice:
1. Evaluate each of the exponential
expressions by first making the exponents positive and then solving.
a. 
b. 
c. 
d. 
2. Simplify each of the following
expressions.
a. 
b. 
c. 
d. x4y8t5
/ t-6x2p-3
3. Rewrite each expression below using
only positive exponents.
a. 
b. 
c. 
4. The function f(x)= 275(.6)x models the
change in a population where x
represents time in years. What is the decay rate in this situation? What is the
initial value of the population?
5. a. Write an equation in the form 
to model a population
that has a decay rate of 18% and an initial population of 6500.
b. Determine the population after 10 time
periods.
c. Find the half-life to the nearest hundredth.
6. A frog is able to jump 20 feet in the
air. After each jump the frog gets more and more tired. Each jump after the
first jump, the frog decreases in height by 12%.
a.) How high will the frog jump after 10 jumps?
b.) After 20 jumps?
c.) How many jumps will it take for him to be
jumping almost 0 feet?
7. Fill in the
blank.
a.) A rate of
_____________ gives a negative r value.
b.) A rate of growth has an r value _______ _________ 1.
c.) A negative exponent can be made positive by
_______________________________________________________________________________.
d.) An _________________
function shows a rate of growth or decay.
e.) There are ________ laws of exponents.
f.) I am going to ____________ the final.