College Algebra I Exam One: Sections 1.1, 1.2, 1.3 and
R.2
• Show all work to receive credit for each of the
problems.
• Incorrect answers with incorrect work shown or no work shown will NOT receive
any credit.
• Circle your answers and when appropriate label them.
• Give answers to written questions in complete sentences.
1. (2 pts each) For each statement be low fill in the blank with the correct
answer.
a. 
=
Give answer to 2 decimal places .
b. 
If is written without using negative
exponents it becomes .
c. If 
is written without using negative
exp onents it becomes 
.
d. If 
is written without exponents it
becomes .
e. If 
is written without parenthesis it
becomes .
f. If 
then the point
is on the graph of
.
2. (6 pts) Classify each number listed as one or more of the following: natural
number, integer, rational
number, ir rational number , or real number . Put an X in the box with the correct
classification(s).
| |
Number |
Integer |
Natural
Number |
Real
Number |
Irrational
Number |
Rational
Number |
| a. |
0 |
|
|
|
|
|
| b. |
 |
|
|
|
|
|
| c. |
-7 |
|
|
|
|
|
3. (2 pts each) For each statement below circle T if the
statement is true and F if the statement is false.
a. 
An example of a rational number is -6.2.
b. All natural numbers are integers numbers.
c. A function is a relation in which each
element in the range corresponds to
exactly one element in the domain.
4. Sally makes $8.00 an hour at her job.
a. (3 pts) Create a symbolic representation of a function S that computes the
amount of money Sally
makes in x hours.
b. (3 pts) Create a numerical representation of the function above. Use a table
and let x = 4, 5, 6, 7.
c. (3 pts) If Sally works 5 days a week for 8 hours a day,
how much money will she make in a year?
(Hint: There are 52 weeks in a year.)
5. (3 pts) Write 
in standard form.
6. (3 pts) Write -0.00000345 in scientific notation.
7. (2 pts) Which of the following numbers are written
correctly in scientific notation? Circle the correct
answer(s).
D. None of the above
E. All of the above
8. For parts a – c, let 
.
a. (2 pts) Find 
.
b. (2 pts) Find the domain of g.
c. (3 pts) Find 
and simplify.
9. Let 
.
a. (2 pts) Give the domain of S.
b. (2 pts) Give the range of S.
c. (3 pts) Determine if S is a function. Explain your answer. (Use complete
sentences.)
11. The federal debt on February 1, 2009 was about
. The federal debt on September 1, 2009
was about 
.
a. (4 pts) What was the percent change in the federal debt from February 1, 2009
to September 1,
2009? Round your answer to the nearest tenth of a percent.
b. (4 pts) On February 1, 2009 the estimated population of the United States was
304,992,954
people. Find the debt per person. Round your answer to the nearest cent.
c. (5 pts) A 1-inch-high stack of $100 bills contains about 250 bills. If the
entire federal debt on
February1, 2009 were converted into a stack of $100 bills how many miles
high would it be?
Round answer to the nearest mile. (1 foot = 12 inches and 1 mile = 5,280 feet)
12. (4 pts each) Simplify the expressions . As sume that all
variables are positive . Write answers without
negative exponents.
13. Let 
.
a. (5 pts) Determine a numerical representation of
using a table with x
= –4, –2, 0, 2, 4.
b. (5 pts) Determine the graphical representation of
. Use the grid below.
Make sure to include
at least 3 points on the graph and capture the basic shape.
14. In 1931 Babe Ruth was the highest paid baseball
player. Below is a table that shows Ruth’s salary just
before and during the Great Depression.
| Year (x) |
 |
| Salary, in thousands (y) |
a. (6 pts) Make a scatter plot by hand , of the data on the
grid below. Put the years on the x axis and
Ruth‘s salary on the y axis. Make sure that you use the entire grid; label the
axes.
b. (4 pts) Use your calculator to make a scatterplot of
the above data and set your window to:
Of the six values listed, if you could change one of them, which would you
change? You
can also choose not to change any of the values. Explain your choice. You do not
need to
copy your calculator scatterplot onto the test paper.
None of the
Above