Math 1320
Practice Exam 2
Fall 14
There will be 5-8 problem on the actual exam. All of them will be similar to the problems shown here.
Remember to make a formula sheet for the exam (only formulas and definitions!).
1) You are charged with buying DVDs for

8) Actinium is a highly radioactive element. The most common isotope of actinium ( 227Ac) is
produced as a by-product in nuclear reactors, and has a half-life of 21.77 years.
a) Obtain an exponential decay model for actinium-227 in the form () = 0 . (Roun

Math 1320
Practice Exam 1
Fall 14
There will be 5-8 problem on the actual exam. All of them will be similar to the problems shown here.
Remember to make a formula sheet for the exam (only formulas and definitions!).
1) A manufacturer sells car batteries f

Section 7.4
Modeling Probability: Equally Likely Outcomes
In an experiment in which all outcomes are equally likely, the probability of an event
is given by
Problem 1. Suzy is given a bag containing 4 red marbles, 3 green ones, 2 white ones, and 1 purple

Section 7.5
Conditional Probability: If
and
are events with
Multiplication Principle for Conditional Probability: If
then the probability of
and
given
is
are events, then
Independent Events: The events are independent if
Equivalent formulas (assuming neit

Section 7.3
Definition: A probability distribution is an assignment of a number
, the probability of
outcome of a finite sample space
. The probabilities must satisfy
, to each
1.
2.
We find the probability of an event , written
by adding up the probabili

Section 9.2
The Laws of Exponents
If
and are positive and
and
are any real numbers, then the following laws hold:
a)
b)
c)
d)
e)
f)
g)
Exponential Function
An exponential function has the form
where and and constants with
and
A quantity experiences expone

Section 9.3
Base Logarithm
The base logarithm of , is the power to which we need to raise in order to get . Symbolically,
Common logarithm and natural logarithm:
Change of Base Formula
Logarithmic Function
A logarithmic function has the form
Logarithmic I

Supply and Demand Examples
1) Sales figures show that your company sold 1960 pen sets each week when they were
priced at $1/pen set, and 1800 pen sets each week when they were priced at $5/pen
set. What is the linear demand function for your pen sets?
Sol

Section 9.1
Quadratic Function
A quadratic function of the variable x is a function that can be written in the form
Features of a Parabola
The graph of
(concave up) and if
with
is a parabola. If
it opens downward (concave down).
the parabola opens upward

Section 7.4
Modeling Probability: Equally Likely Outcomes
In an experiment in which all outcomes are equally likely, the probability of an event
is given by
Problem 1. Suzy is given a bag containing 4 red marbles, 3 green ones, 2 white ones, and 1 purple

Section 6.4
Permutations
A permutation of items is an ordered list of those items. The number of possible permutations of
items is given by factorial, which is
for
a positive integer, and
Permutations of
items taken
at a time
A permutation of items taken

Section 6.3
Addition Principle
When choosing among disjoint alternatives, if alternative 1 has possible outcomes, alternative 2
has possible outcomes, , alternative has possible outcomes, then you have a total of
possible outcomes.
Multiplication Principl

Section 7.1
Experiments, Outcomes, and Sample Spaces
An experiment is an occurrence with a result, or outcome, that is uncertain before the experiment takes
place. The set of all possible outcomes is called the sample space for the experiment.
Events
Give

Section 6.2
Cardinality
If
is a finite set, then its cardinality is
the number of elements in .
Cardinality of a Union
If
and
are finite sets, then
In particular, if
and
are disjoint
then
.
Cardinality of a Complement
If is a finite universal set and
is a

Section 7.2
Estimated Probability
When an experiment is performed a number of times, the estimated probability or relative frequency
of an event is the fraction of times that the event occurs. If the experiment is performed times
and the event occurs
time

Section 6.1
Sets and Elements
A set is a collection of items, referred to as the elements of the set.
We usually use a capital letter to name a set and braces to enclose the elements of a set.
x A means that x is an element of the set A. If x is not an el

Section 5.3
Sinking Fund
A sinking fund is an account earning compound interest into which you make periodic deposits.
Suppose that the account has an annual interest rate of compounded times per year, so that
is the interest rate per compounding period.

Section 1.3
Linear Function
A linear function is one that can be written in the form
where
is the slope and is the -intercept (when
) of the linear function.
The Slope
The slope of a line between two points
and
is given by the following formula:
Finding t

Annuities and Sinking Funds
Sinking Fund
A sinking fund is an account earning compound interest into which you make periodic deposits.
Suppose that the account has an annual interest rate of compounded times per year, so that
is the interest rate per comp

Section 1.4
Definition of Function: A function from a set
to a set is a relation that assigns to each element
in the set exactly one element in the set . The set is the domain (or set of inputs) of the
function , and the set contains the range (or set of

Math 1320
Practice Exam 3
Fall 14
Remember that you may use a calculator and a sheet of paper with formulas and definitions on it.
1) Let = cfw_2, 5, 8, , $, = cfw_5, , , 8, , and = cfw_2, , 9, , . Find the following:
a) ( )
b) ( )
c) ( )
d) ( )
e) Draw

Math 1320 NAME E Z
Instructor: C. Mundy-Castle
Fall ’14
Exan13
Tuesday, December 2nd, 2014
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#5 /20
EC /10
Total /100
You may use a calculator and a formula sheet on this exam. Wherever nece

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Math 1320 NAME l; 2
C. Mundy-Castle
Fall ’14
FINAL EXAM
Thursday, December 11th, 2014
#17 /1o
#2 / 10
Total
You may use all of your previous formula sheets (or a new formula sheet) on this exam. Show all of
our work to rec

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Math 1320 NAME K
Instructor: C. Mundy—Castle
Fall ’14
Exan12
October 215‘, 2014
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#2 /20
#3 /20
#4 /20
#5 /20
Grade" /100
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You may use a calculator and a formula sheet on this exam. Wherever necessary, you must s

Practice Final
1) (1.1) Given () = 3 2 2 + 1, find
a) (1)
b) (2)
c) ()
d) ( + )
2) (1.2) The Audubon Society at Enormous State University (ESU) is planning its annual fund-raising
Eat-a-thon. The society will charge students 60 per serving of pasta. The o

Math 1320 NAME /< E Z
Instructor: C. Mundy-Castle
Fall '14
Exam 1
Tuesday, September 23”, 2014
You may use a calculator and a formula sheet on this exam. Wherever necessary, you must show all of
your work to receive full credit for a p

Section 3.1
Linear Equations in Two Unknowns
A linear equation in two unknowns is an equation that can be written in the form
with
and being real numbers. A solution of an equation consists of a pair of numbers: a value for
and a value for that satisfy th

Section 2.3
Sinking Fund
A sinking fund is an account earning compound interest into which you make periodic deposits.
Suppose that the account has an annual interest rate of compounded times per year, so that
is the interest rate per compounding period.

Section 3.3
Problem 1. You manage an ice cream factory that makes three flavors: Creamy Vanilla, Continental
Mocha, and Succulent Strawberry. Into each batch of Creamy Vanilla go 2 eggs, 1 cup of milk, and 2
cups of cream. Into each batch of Continental M