Intermediate Algebra Tutorial 42


Intermediate Algebra
Tutorial 42: Practice Test on Tutorials 37 - 41

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deskLearning Objectives

After completing this tutorial, you should be able to:
  1. Take a test on topics covered in tutorials 37 - 41 in this website.


 

Special Notes about Tutorial 42:





desk 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 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 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
  1. 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.

  2. 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.

  3. 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.

  4. 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!!! 

 

 

desk Practice Test

 

Problems 1a - 1b: Simplify.  Assume that variables represent positive real numbers.

 
1a. problem 1a
1b. problem 1b

 
 
Problems 2a - 2b: Simplify. 

 
2a. problem 2a
2b. problem 2b

 
 
Problems 3a - 3b: Use radical notation to write the expression and simplify. 

 
3a. problem 3a
3b. problem 3b

 
 
Problem 4a: Write with a positive exponent and simplify.

 
4a. problem 4a

 
 
Problems 5a - 5b: Simplify the expression, write with positive exponents only.

 
5a. problem 5a
5b. problem 5b

 
 
Problem 6a: Multiply.

 
6a. problem 6a

 
 
Problem 7a: Factor the common factor from the given expression.

 
7a. problem 7a

 
 
Problem 8a: Use the product rule to multiply.

 
8a. problem 8a

 
 
Problem 9a: Use the quotient rule to simplify.

 
9a. problem 9a

 
 
Problems 10a - 10b: Simplify.  Assume that the variables are positive.

 
10a. problem 10a
10b. problem 10b

 
 
Problem 11a: Use the quotient rule to divide and then simplify.  Assume that the variables are positive.

 
11a. problem 11a

 
 
Problem 12a: Add or subtract.

 
12a. problem 12a

 
 
Problem 13a: Multiply and simplify.

 
 
13a. problem 13a

 
 
Problems 14a - 14b:  Rationalize the Denominator.

 
14a. problem 14a
14b. problem 14b

 
 
Problem 15a: Rationalize the Numerator.

 
15a. problem 15a

 
 
 
Now you are ready to check the answers to your practice test:

Answer key to practice test
 

 

desk 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 37: Radicals
This tutorial will help you with problems 1a - 1b and 2a - 2b on this practice test.

Tutorial 38: Rational Exponents
This tutorial will help you with problems 3a - 3b, 4a, 5a - 5b, 6a and 7a on this practice test.

Tutorial 39: Simplifying Radical Expressions
This tutorial will help you with problems 8a, 9a, 10a - 10b, 11a on this practice test.

Tutorial 40: Adding, Subtracting and Multiplying Radicals
This tutorial will help you with problems 12a and 13a on this practice test.

Tutorial 41: Rationalizing Denominators and Numerators of Radical Expressions
This tutorial will help you with problems 14a - 14b and 15a 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.


 

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WTAMU > Virtual Math Lab >Intermediate Algebra


Last revised on July 21, 2011 by Kim Seward.
All contents copyright (C) 2001 - 2011, WTAMU and Kim Seward. All rights reserved.