College Algebra Tutorial 53


College Algebra
Tutorial 53: Practice Test on Tutorials 49 - 52


WTAMU > Virtual Math Lab > College Algebra

 

deskLearning Objectives


After completing this tutorial, you should be able to:
  1. Take a test on topics covered in tutorials 49 - 52 in this website.


 

Special Notes about Tutorial 53:





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 49: Solving Systems of Linear Equations in Two Variables, Tutorial 50: Solving Systems of Linear Equations in Three Variables, Tutorial 51: Systems of Linear Equations and Problem Solving, and Tutorial 52: Solving Systems of Nonlinear Equations in Two Variables.

 

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:  Solve each system by either the substitution or elimination by addition method.

 
1a.
problem 1a
1b.
problem 1b
 

 
 
Problem 2a:  Solve the system by either the substitution or elimination by addition method.

 
2a. 
problem 2a

 
 
Problems 3a - 3b:  Solve the given word problems using systems of equations.

 
3a. It took a boat 4 hours to travel downstream 120 miles.  Upstream, the same trip took 6 hours.  Find the rate of the boat in still water and the rate of the current.

 
3b.  A piggy bank contains only nickels, dimes and quarters.  The value of the coins is $5.50.  The number of nickels is three times that of the dimes. The number of nickels is six more than twice the number of quarters.  Find the number of nickels, dimes, and quarters in the piggy bank.

 
 
Problems 4a - 4b:  Solve each system by either the substitution or elimination by addition method.

 
4a. 
problem 4a
4b.
problem 4b

 
 
 
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 49: Solving Systems of Linear Equations in Two Variables
This tutorial will help you with problems 1a - 1b on this practice test.

Tutorial 50: Solving Systems of Linear Equations in Three Variables
This tutorial will help you with problem 2a on this practice test.

Tutorial 51: Systems of Linear Equations and Problem Solving
This tutorial will help you with problems 3a - 3b on this practice test.

Tutorial 52: Solving Systems of Nonlinear Equations in Two Variables
This tutorial will help you with problems 4a - 4b 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 > College Algebra


Last revised on May 15, 2011 by Kim Seward.
All contents copyright (C) 2002 - 2011, WTAMU and Kim Seward. All rights reserved.