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Virtual Math Lab

Intermediate Algebra
Tutorial 31: Practice Test on Tutorials 23 - 30

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deskLearning Objectives

After completing this tutorial, you should be able to:
  1. Take a test on topics covered in tutorials 23 - 30 in this website.


Special Notes about Tutorial 31:

  • 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.

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 23: Exponents and Scientific Notation Part I, Tutorial 24: Exponents and Scientific Notation Part II, Tutorial 25: Polynomials and Polynomial Functions, Tutorial 26: Multiplying Polynomials, Tutorial 27: The GCF and Factoring by Grouping, Tutorial 28: Factoring Trinomials, Tutorial 29: Factoring Special Products, and Tutorial 30: Solving By Factoring.

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 - 1f: Simplify.  Use positive exponents to write each answer.

1a. problem 1a
1b. problem 1b

1c. problem 1c
1d. problem 1d

1e. problem 1e
1f. problem 1f

Problem 2a:  Write the number in scientific notation.

2a.   73,200,000

Problem 3a:  Write the number in standard notation without exponents.

3a. problem 3a

Problem 4a: Perform indicated operations.  Write each result in scientific notation.

4a. problem 4a

Problems 5a - 5b: Find the degree of the term.

5a. problem 5a
5b.   -8

Problems 6a - 6c: Find the degree of the polynomial and indicate whether the polynomial is a monomial,  binomial, trinomial, or none of these.

6a. problem 6a
6b. problem 6b

6c. problem 6c

Problem 7a: Evaluate the polynomial function.

7a.   If problem 7a find P(-2)

Problems 8a - 8b: Perform the indicated operation and simplify.

8a. problem 8a

8b. problem 8b

Problems 9a - 9e: Multiply.

9a. problem 9a
9b. problem 9b

9c. problem 9c
9d. problem 9d

9e. problem 9e

Problems 10a - 10e:  Factor Completely.

10a. problem 10a
10b. problem 10b

10c. problem 10c
10d. problem 10d

10e. problem 10e

Problems 11a - 11c: Solve each equation.

11a. problem 11a
11b. problem 11b

11c. problem 11c

Now you are ready to check the answer 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 23: Exponents and Scientific Notation Part I
This tutorial will help you with problems 1a - 1c, 2a and 3a on this practice test.

Tutorial 24: Exponents and Scientific Notation Part II
This tutorial will help you with problems 1d - 1f and 4a on this practice test.

Tutorial 25: Polynomials and Polynomial Functions
This tutorial will help you with problems 5a - 5b, 6a - 6c, 7a and 8a - 8b on this practice test.

Tutorial 26: Multiplying Polynomials
This tutorial will help you with problems 9a - 9e on this practice test.

Tutorial 27: The GCF and Factoring by Grouping
This tutorial will help you with problems 10a, 10c and 10d on this practice test.

Tutorial 28: Factoring Trinomials
This tutorial will help you with problems 10a and 10e on this practice test.

Tutorial 29: Factoring Special Products
This tutorial will help you with problems 10b and 10d on this practice test.

Tutorial 30: Solving By Factoring
This tutorial will help you with problems 11a - 11c 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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Last revised on July 15, 2011 by Kim Seward.
All contents copyright (C) 2001 - 2011, WTAMU and Kim Seward. All rights reserved.