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Intermediate Algebra
Tutorial 42:
Practice Test on Tutorials 37
- 41
Learning Objectives
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After completing this tutorial, you should be able to:
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Take a test on topics covered in tutorials 37 - 41 in this website.
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| Note that 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 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. |
Introduction
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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 37: Radicals,Tutorial
38: Rational Exponents, Tutorial
39: Simplifying Radical Expressions, Tutorial
40: Adding, Subtracting and Multiplying Radicals, and Tutorial
41: Rationalizing Denominators and Numerators of Radical Expressions.
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 a lot of 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.
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Steps to Studying for a Math Test
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First, 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.
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Second, 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.
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Third, 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.
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Fourth, 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)
Keep
in mind that the more prepared you are for your math test, the less guessing
you will have to do on it. |
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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 a lot of 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 taking a math test. 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).
Good luck on your test. If you are taking a math test soon,
good luck on it. I know you are going to do great!!! |
Practice Test
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| Problems 1a - 1b: Simplify. Assume that variables represent
positive real numbers. |
1a.  |
1b.  |
| Problems 2a - 2b: Simplify. |
2a.  |
2b.  |
| Problems 3a - 3b: Use radical notation to write the expression and
simplify. |
3a.  |
3b.  |
| Problem 4a: Write with a positive exponent and simplify. |
4a.  |
| Problems 5a - 5b: Simplify the expression, write with positive exponents
only. |
5a.  |
5b.  |
6a.  |
| Problem 7a: Factor the common factor from the given expression. |
7a.  |
| Problem 8a: Use the product rule to multiply. |
8a.  |
| Problem 9a: Use the quotient rule to simplify. |
9a.  |
| Problems 10a - 10b: Simplify. Assume that the variables are
positive. |
10a.  |
10b.  |
| Problem 11a: Use the quotient rule to divide and then simplify.
Assume that the variables are positive. |
11a.  |
| Problem 12a: Add or subtract. |
12a.  |
| Problem 13a: Multiply and simplify. |
13a.  |
| Problems 14a - 14b: Rationalize the Denominator. |
14a.  |
14b.  |
| Problem 15a: Rationalize the Numerator. |
15a.  |
Need Extra Help on These Topics?
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All contents copyright (C) 2001 - 2008, WTAMU and Kim Seward. All rights reserved. Last revised on Jan. 8, 2002 by Kim Seward.
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