College Algebra
Tutorial 59: Practice Test on Tutorials 54A  58
Learning Objectives
After completing this tutorial, you should be able to:
 Take a test on topics covered in tutorials 54A  58
in this website.

Special Notes about Tutorial 59:

I can not guarantee
you will pass
your test after going though any of the tutorials in this website or
this
practice test. However, it will definitely help you to better
understand
the topics covered better.

Disclaimer: WTAMU and Kim Seward are not
responsible
for how a student does on any test or any class for any reason
including
not being able to access the website due to any technology
problems.

There are no videos on this page.

Introduction
It is important to note that chances are I'm not your
math instructor. You
need to check with your math teacher as to things like when your next
math
test is and what it covers. It may cover more material on the
test
than what is in this practice test. Just note that there are
other practice tests at this website. So, after finding out what is on
your test (if you have one) do the practice test(s) problems that go
with
the test you are preparing for. If you are not in a class or are
not having a test soon, this practice test is still good practice to go
through and check to make sure you are understanding this material
before
moving on  kind of like a spot check. The material on this
practice
test goes with Tutorial
54A: Sequences , Tutorial
54B: Series, Tutorial
54C: Arithmetic
Sequences and Series , Tutorial
54D: Geometric
Sequences and Series , Tutorial 54: The Binomial
Theorem , Tutorial 55: The Fundamental
Counting Principle , Tutorial 56: Permutations , Tutorial
57: Combinations , and Tutorial 58: Probability.
Also note that your teacher may word the problems on
their test a
little differently, may have some different kinds of problems, or may
have
a different number of problems than what is in this practice test.
Again, since I'm probably not your math instructor, I don't know
exactly
how your teacher will set up your math test. Just note that these
problems will help you build an understanding of the concepts presented
and the terms used in math problems. If you have an
understanding
of the problems instead of just memorizing them, then you should do
fine
on these concepts, no matter how the test is set up.
Steps to Studying for a Math Test


Work through problems. If you are in a class, you should have
done this on completion of any homework you have done. For anyone,
you can accomplish this by doing the practice problems found in each tutorial.

Check work on problems. The practice problems in each tutorial
have links to the answers to them so you can instantly check how you are
doing. Also, in most math books, the odd answers are found in the
back of the book.

Review concepts. Whether you got the problems right or wrong,
make sure you review over them. If you did get a problem wrong, make
sure you either review that concept in it's respective tutorial or ask
your math teacher about it. If you don't ask about a problem before
a test, you are going to kick yourself when it comes up on the test.

Work through problems as if you were taking the test  no notes, book,
webpages, etc. This practice test is a perfect way to do that. After
taking this practice test, check your answers by clicking on the link to
the answer key found at the bottom of the practice test (before the 'need
extra help on these topics' section)

It is to your benefit to show as much of the work as
possible on
the problems that have several steps involved.
Make sure that you read the directions carefully,
you wouldn't
believe how many points get taken off math tests for people not
following
directions.
Pace yourself. You do not have to be the
first one done
to do well on the test. Do not panic if there is still time left
to take the test and others are turing it in. Sometimes that
means
they do not know the material and left some of the answers blank.
Do not worry about anyone else but yourself.
Don't rush through a problem.
Another thing that
math teachers take points off for are careless mistakes made by people
that rush through a problem. When those students get their tests
back, they bonk themselves on the head at some of the things that got
counted
wrong, things that they knew how to do.
Check your answers. If you have time, go
back and check
your answers.
Remember to breathe!!!! I know some of you
are scared to
death at the thought of having to take a math test of any kind.
For
you guys, try to relax and don't forget to breathe. (Even if you
aren't scared to take a math test, it is probably a good idea to
remember to breathe, I wouldn't want you to pass out during the
test). If it feels like your brain has left the building during
your test,
just close your eyes and breathe in and out and in and out and your
brain
will return.
Good luck on your test. If you are taking a
math test soon,
don't panic, you are going to do great!!! 
Practice Test
Problem 1a: Write a formula for the nth term of the
infinite
sequence. Do not use a recursion formula. 
1a. 
Problem 2a: Find the first four terms and the 10th term
of
the arithmetic sequence. 
2a. 
Problem 3a: Find the first four terms AND the common
ratio of
the geometric sequence.

3a. 
Problem 4a: Write the geometric series in summation
notation. 
4a. 
Problem 5a: Find the sum of the arithmetic series. 
5a. 
Problem 6a: Find the sum of the infinite geometric
series. 
6a. 
Problem 7a: Evaluate the given binomial coefficient. 
7a. 
Problem 8a: Use the Binomial Theorem to expand
the
binomial
and express the result in simplified form. 
8a. 
Problem 9a: Find the term indicated in the
expansion. 
9a. ;
fifth term 
Problems 10a  10f: Solve by the method of your
choice. 
10a. Next semester you are going to take one
business
class, one math class, one political science class one english class
and one fine arts class. According to the schedule you have 3
different business classes, 5 different math classes, 1 political
science class, 4 different English classes, and 2 Fine Arts classes to
choose from. Assuming no scheduling conflicts, how many different
fivecourse selections can you make?

10b. In how many ways can 8 employees be assigned
to 8
different jobs? 
10c. A computer password can use any letter of
the
alphabet, and a sequence of 5 different letters must be selected for
the password. How many computer passwords are possible?

10d. A boss has 8 employees and 5 are chosen to
give a
presentation. How many different ways can the boss choose the
presenters if the order of the presenters is important? 
10e. A boss has 8 employees and 5 are chosen to
give a
presentation. How many different ways can the boss choose the
presenters if the order of the presenters is not important? 
10f. 15 students of whom 9 are seniors, 4 are
juniors,
and 2 are sophomores, are selected as semifinalists for a literary
award. Of the 15 students, 5 finalists will be selected.
1) In how many ways can 5 finalists be
selected
from the 15 students?
2) In how many ways can the 5 finalists
contain
only seniors?
3) In how many ways can the 5 finalist
contain
exactly 1 sophomore and 4 juniors? 

Problems 11a  11b: 200 college students took a
survey on their
favorite soda pop. The results are as follows: 125 said their
favorite was Coke. 25 said their favorite is Diet Coke. 30
said their favorite is Dr. Pepper. 15 said their favorite was
Sprite. And 5 said their favorite was Mountain Dew.
If each student picked only one favorite, find the
following
probabilities. 
11a. A student's favorite soda pop is Diet Coke.
11b. A student’s favorite soda pop is Sprite. 
Problems 12a  12b: From a group of 7
seniors and 9
juniors, 4 people are selected at random to form a committee.
Find the probability that 
12a. Only seniors are selected.
12b. Exactly 2 seniors and 2 juniors are selected. 
Problems 13a  13c: An employee’s name
will be picked at random
to go on a business trip with the boss. There are 20 senior level
executives, 15 junior level executives, 18 senior level programmers, 12
junior level programmers, 5 senior level assistants and 5 junior level
assistants.
Find the probability that

13a. a programmer OR an assistant will be picked.
13b. a senior level employee OR an executive will
be
picked.
13c. A junior level employee will not be picked. 
Problem 14a: Find the probability. 
14a. If 1 card is drawn from a deck of
cards and
1 die is rolled find the probability that the card drawn is a diamond
AND the number rolled on the die is even. 
Need Extra Help on these Topics?
Last revised on May 21, 2011 by Kim Seward.
All contents copyright (C) 2002  2011, WTAMU and Kim Seward.
All rights reserved.

