Beginning Algebra
Tutorial 10: Practice Test on Tutorials 1 - 9
Learning Objectives
After completing this tutorial, you should be able to:
- Take a test on topics covered in tutorials 1 - 9 in
this website.
Special Notes about Tutorial 10:
-
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.
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 2: Symbols
and Sets of Numbers, Tutorial
3: Fractions, Tutorial 4:
Introduction to Variable Expressions and Equations, Tutorial
5: Adding Real Numbers, Tutorial 6:
Subtracting Real Numbers, Tutorial
7: Multiplying and Dividing Real Numbers, Tutorial
8: Properties of Real Numbers, Tutorial
9: Reading Graphs.
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.
-
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.
-
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.
-
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.
-
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!!!
Practice Test
Problems 1a - 1c: Replace ? with < , > , or = .
1a. -5 ? 5
1b. 10 ? 5
1c. |-5| ? |5|
Problems 2a - 2b: Are the following statements true or false?
2a. - 4 > 4
2b. - 4 < - 4
Problems 3a - 3c: Write each sentence as a mathematical statement.
3a. 5 is not equal to -5.
3b. -2 is less than or equal to 0.
3c. 7 is greater than 0.
Problems 4a - 4f : List the elements of the following set
that are also elements of the given set.
{-½, 0, 5,
,
}
4a. Natural numbers
4b. Whole numbers
4c. Integers
4d. Rational numbers
4e. Irrational numbers
4f. Real numbers
Problems 5a: Write the number as a product of primes.
5a. 90
Problems 6a: Write the fraction in lowest terms.
6a.
Problems 7a - 7d: Perform the following operations.
Write answers in the lowest terms.
7a.
7b.
7c.
7d.
Problems 8a - 8b: Evaluate.
8a.
8b.
Problems 9a - 9b: Write each phrase as an algebraic expression.
Let x represent the unknown number.
9a. The quotient of 7 and a number.
9b. 10 less than 2 times a number.
Problems 10a - 10b: Write each sentence as an equation.
Let x represent the unknown number.
10a. The sum of 2 and 10 times a number is the same as 30.
10b. The product of 5 and a number is 2/3.
Problems 11a - 11c: Add.
11a. -9 + (-10)
11b.
11c. 6.5 + (-1.2) + (-3.1)
Problems 12a - 12b: Simplify.
12a. -(-17)
12b.
Problems 13a - 13b: Subtract.
13a. -15 - (-3)
13b. -1.5 - 2.5
Problems 14a - 14c: Multiply.
14a. (-5)(-12)
14b. (3)(-5)(2)
14c. (-15)(0)
Problems 15a - 15c: Divide.
15a.
15b.
15c.
Problems 16a - 16b: Simplify.
16a.
16b.
Problems 17a - 17b: Evaluate the expression.
17a.
when
x = 3 and
y = -3.
17b.
when
x = 2 and
y = -2
Problems 18a - 18b: Decide whether the given number is a solution
of the given equation.
18a. Is 1 a solution to 3x - 1 =
4?
18b. Is -3 a solution to 7 - x =
2x + 16?
Problem 19a: Use a commutative property to write an
equivalent expression.
19a. 3a + 2b
Problem 20a: Use an associative property to write an
equivalent expression.
20a. 8(xy)
Problems 21a - 21b: Use the distributive property to find
the product.
21a. -5(a - 7)
21b. 8(2x + 3y +4z)
Problems 22a - 22b: Write the opposite (additive inverse) and the
reciprocal (multiplicative inverse) of each number.
22a. -10
22b.
Problem 23a - 23c: The bar graph
below shows the profit a cd store made over the months of September through
December of last year. Use the graph to answer questions 23a
- 23c.
23a. About how much was the profit in December?
23b. Which month had the lowest profit?
23c. What is the sum of the profits of October and November?
Problems 24a - 24b: The line graph below shows last week's high
temperatures in Fahrenheit. Use the graph to answer questions
24a - 24b.
24a. How much was Monday's high temperature?
24b. Which day had the highest high temperature?
Now you are ready to check the answers to your practice test:
Answer key to practice test
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 2: Symbols and Sets
of Numbers
This tutorial will help you with problems 1a - 1c, 2a - 2b, 3a - 3c, and 4a - 4f on this practice
test.
Tutorial 3: Fractions
This tutorial will help you with problems 5a, 6a, and 7a - 7d on this practice
test.
Tutorial 4: Introduction to
Variable Expressions and Equations
This tutorial will help you with problems 8a - 8b, 9a - 9b, 10a - 10b, 16a - 16b, 17a - 17b, and 18a - 18b on this
practice
test.
Tutorial 5: Adding Real Numbers
This tutorial will help you with problems 11a - 11c and 12a - 12b on this practice test.
Tutorial 6: Subtracting Real Numbers
This tutorial will help you with problems 13a - 13b on this practice
test.
Tutorial 7: Multiplying and Dividing
Real Numbers
This tutorial will help you with problems 14a - 14c and 15a - 15c on this
practice
test.
Tutorial 8: Properties of Real
Numbers
This tutorial will help you with problems 19a, 20a, 21 - 21b, and 22a - 22b on this practice
test.
Tutorial 9: Reading Graphs
This tutorial will help you with problems 23a - 23c and 24a - 24b 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.
Last revised on July 25, 2011 by Kim Seward.
All contents copyright (C) 2002 - 2010, WTAMU and Kim Seward.
All rights reserved.
