Intermediate Algebra
Tutorial 6: Practice Test on Tutorials 2  5
WTAMU > Virtual Math Lab > Intermediate Algebra
Learning Objectives
After completing this tutorial, you should be able to:
 Take a test on topics covered in tutorials 2  5 in
this website.
Special Notes about Tutorial 6:

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 2: Algebraic
Expressions,
Tutorial 3: Sets
of Numbers,
Tutorial 4: Operations on Real Numbers, and
Tutorial
5: Properties of Real Numbers.
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)
During the Test
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
Problems 1a  1b: Find the value of the algebraic expression
at the given replacement values.
1a. x + y when x = 5.2 and y = 3.9
1b. If it costs $450 per tv at a local entertainment store, then
we can use the algebraic expression 450x, where x represents the number of tv's purchased to find the cost of buying x tv's. How much would it cost to buy 3?
Problems 2a  2b: Write the phrase as an algebraic expression.
2a. The product of 12 and a number.
2b. The quotient of 25 and the difference of a number and 3.
Problems 3a  3c: List the elements of each set.
3a. {x  x is a natural number between 10 and 20}
3b. {x  x is a whole number greater than 5}
3c. {x  x is a whole number less than 10}
Problem 4a: Graph the set on a number line.
4a {3, 2.5, 0, 3/2, 3}
Problems 5a  5f : List the elements of the following set
that are also elements of the given set.
5a. Natural numbers
5b. Whole numbers
5c. Integers
5d. Rational numbers
5e. Irrational numbers
5f. Real numbers
Problems 6a  6b: Place or to make
each statement true.
6a. 0 ? {x  x is
a natural number}
6b. .25 ? {x  x is a rational number}
Problems 7a  7b: Determine whether the statement is true
or false.
7a.
7b.
Problems 8a  8c: Find the absolute value.
8a. 4.2
8b.  4.2
8c. 20
Problems 9a  9b: Find the sum or difference.
9a. 35 + (15)
9b. 14  (5)
Problems 10a  10b: Find the product or quotient.
10a. (15)(10)
10b.
Problems 11a  11b: Evaluate.
11a.
11b.
Problems 12a  12b: Find the root.
12a.
12b.
Problems 13a  13b: Simplify.
13a.
13b.
Problem 14a: Find the value of the expression when a =
5 and b = 3.
14a. 6(2a  3b)
Problems 15a  15b: Write the opposite (additive inverse)
and the reciprocal (multiplicative inverse) of each number.
15a. 10
15b. 1/2
Problems 16a  16b: Use a commutative property to write an equivalent
expression.
16a. 5 + b
16b. 7a
Problems 17a  17b: Use an associative property to write an
equivalent expression.
17a. (10a)b
17b. x + (2y + 3z)
Problems 18a  18b: Use the distributive property to find
the product.
18a. (5a  6b)
18b. 3(2x + 4y + 5z)
Problem 19a: Simplify the expression.
19a. 3(a  4) + 4(a + 5)
Problems 20a  20b: Write each statement using mathematical symbols.
20a. The sum of x and 5 is less than
or equal to the opposite of 9.
20b. Twice the difference of y and
6 is not equal to the reciprocal of 1/5.
Problem 21a: Write the following as an algebraic expression.
21a. The cost of x hamburgers, if each hamburger costs
$1.75.
Problems 22a  22c: Insert <, > , or = to form a true statement.
22a. 1.5 ? 3/2
22b. 3 ? 1
22c. 0 ? 5
Now you are ready to check the answers to your practice test:
Answer key to practice test
Need Extra Help on these Topics?
The following are web pages
that can assist
you in the topics that were covered on this page:
Tutorial 3: Sets of Numbers
This tutorial will help you with problems 3a  3c, 4a, 5a  5f, 6a  6b, 7a  7b and 8a  8c on this practice
test.
Tutorial 4: Operations on Real
Numbers
This tutorial will help you with problems 9a  9b, 10a  10b, 11a  11b, 12a 12b, 13a  13b and 14a 14b on this practice test.
Tutorial 5: Properties of
Real Numbers
This tutorial will help you with problems 15a  15b, 16a  16b, 17a  17b, 18a  18b, 19a, 20a  20b, 21a, and 22a  22c on this practice
test.
Go to Get
Help Outside the
Classroom found in Tutorial 1: How to Succeed in a Math Class for
some
more suggestions.
Last revised on June 17, 2011 by Kim Seward.
All contents copyright (C) 2002  2011, WTAMU and Kim Seward.
All rights reserved.