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Virtual Math Lab

Intermediate Algebra
Tutorial 18: Practice Test on Tutorials 12 - 17

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deskLearning Objectives

After completing this tutorial, you should be able to:
  1. Take a test on topics covered in tutorials 12 - 17 in this website.


Special Notes about Tutorial 18:

  • 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 12: Graphing Equations, Tutorial 13: Introduction to Functions, Tutorial 14: Graphing Linear Equations, Tutorial 15: The Slope of a Line, Tutorial 16: Equations of Lines, and Tutorial 17: Graphing Linear Inequalities.

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:  Name the quadrant or axis in which the point lies.

1a.   (2, - 4)
1b.  (0, 4)

Problems 2a - 2b:   Determine whether the equation is linear or not.  Then graph the equation by plotting points. 

2a. problem 2a
2b. problem 2b

Problem 3a:  Find the domain and range of the relation.  Also, determine whether the relation is a function. 

3a.  {(-1, 3), (-1, 4), (-2, 5), (-3, 6)}

Problems 4a - 4b:  Find the domain and range of each relation.  Use the vertical line test to determine whether each graph is a graph of a function. 

problem 4a


problem 4b

Problem 5a: Decide whether y is a function of x.

5a. problem 5a

Problems 6a - 6b:  Find the functional values.

6a. problem 6a  ;  f(0), f(1), f(-1)

6b. problem 6b;   g(0), g(-½),  g(5)

Problems 7a - 7b: Graph each linear function using the x- and y- intercepts.

7a. problem 7a
7b. problem 7b

Problem 8a: Graph the linear equation.

8a. problem 8a

Problems 9a - 9b: Find the slope of the straight line that passes through the given points.

9a.  (-7, 3) and (4, -1)
9b.  (5, 0) and (5, 4)

Problems 10a - 10b: Graph the linear equation using the slope/intercept form.

10a. problem 10a
10b. problem 10b

Problems 11a - 11c:  Find the equation of the line with the given conditions.  Use function notation to write the equation. 

11a.  Passes through the points (2, 3) and (-1, -3)

11b.  Passes through the point (1, 1) and is parallel to the line problem 11b

11c.  Passes through the point (-2, 3) and is perpendicular to the line problem  11c

Problem 12a:  Write the equation of the line.

12a.    Vertical and passes through (-3, 2).

Problem 13a:  Graph the inequality.

13a. problem  13a

Problems 14a - 14b: Graph the inequalities.

14a. problem  14a1   OR problem  14a2

14b. problem  14b1  AND problem  14b2

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 12: Graphing Equations
This tutorial will help you with problems 1a - 1b and 2a - 2b on this practice test.

Tutorial 13: Introduction to Functions
This tutorial will help you with problems 3a, 4a - 4b, 5a and 6a - 6b on this practice test.

Tutorial 14: Graphing Linear Equations
This tutorial will help you with problems 7a - 7b and 8a on this practice test.

Tutorial 15: The Slope of a Line
This tutorial will help you with problems 9a - 9b and 10a - 10b on this practice test.

Tutorial 16: Equations of Lines
This tutorial will help you with problems 11a - 11c and 12a on this practice test.

Tutorial 17: Graphing Linear Inequalities
This tutorial will help you with problems 13a and 14a - 14b 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 6, 2011 by Kim Seward.
All contents copyright (C) 2001 - 2011, WTAMU and Kim Seward. All rights reserved.