MATH106 4010 Quiz 2

Directions:
- Read and sign the academic honesty certification statement below, then read the questions
carefully and answer them to the best of your ability. You may write your answers on this sheet
or on the sheet you do your work on, but PLEASE show your work! Follow directions as
outlined in Unit Quiz 2 folder under the Assignments link on our LEO classroom NavBar.
- Test & work is due as specified in Course Schedule. I cannot accept any late submissions!
This is open-book and notes; calculators & graphing devices are authorized for use. Good luck!

I certify the work submitted on and with this document represents my own personal work. I have
not collaborated with, or consulted with, anyone else to produce the work I am submitting. I
certify I have not used any instructor solutions manuals, or any online problem solving services.
I understand and agree to abide by UMUC Policy on Academic Dishonesty and Plagiarism.
_______________________________________
Student Signature & Date
1. For the equation which is graphed below:

a. Determine the slope m:

m = _____________
b. Determine the x intercept:

_____________
c. Determine the y intercept:

_____________
d. State the equation algebraically in slope intercept form:

_____________________________
1

2. 3. Solve for the variable. Check your answer in the original equation, if you determine the
equation has a single solution. For full credit, please show all work, including check step!
2.

5 + 2(9 + 3) = 3( + 5)

____________________
3.

3
5
2
4 = ( + 4) 
2
3
3

____________________

4. Solve the linear inequality. Write your solution set in interval notation and graph it on a
number line. If you are typing the exam, you can easily create a number line and graph
inequalities using your keyboard. How-to link is in Content > Table of Contents > Course
Resources > Webliography in our LEO classroom.
2 < 3x 5 7

Answer : ___________________________
-4 -3 -2 -1 0 1 2 3 4 5
2

5. Christina is selling an antique dining room furniture set through a broker. She wants to get
$2000 for herself, but the broker gets 15% of the selling price as commission. What should the
selling price be?

Answer: ____________________________
6. Multiple Choice: Find the equation of the line passing through (4, 1) and (3, 1):
a. 2x + 5y = 3

c. 5x 4y = 11

b. 3x + 4y = 8

d. 2x + y = 7

Answer: __________________

7. Solve the system of equations using substitution or elimination by addition (your choice).
You MUST show all your work to get credit for this problem!
2 = 5
3 + 5 = 27

Answer: x = ___________ y = _____________
3

8. An outdoor goods store sells a wool shirt costing $20 wholesale for $33 retail, and a coldweather jacket costing $100 for $153. Assume the stores markup policy is linear.
a. Multiple Choice: The equation for retail price P in terms of wholesale cost C is:
.

= 2 7

. = 2 + 3

. =

3
2

7

.

3

=2 +3

Answer: ___________________
b. Multiple Choice: What is the wholesale cost of a tent this store retails for $213 ?
. $147

. $140

. $110

. $105

Answer: __________________

9. As chief financial officer at Amalgamated Pharmaceutical, you track costs and revenue for
the daily manufacturing process for your companys top-selling product, Shovitall, the drug
that relieves math anxiety. Daily production costs $6,300 plus $45 for every case produced.
Daily revenue coming in equates to $115 per case sold.
a. Determine the cost (C) and revenue (R) equations for this manufacturing process

Cost equation:

___________________________________

Revenue equation:

___________________________________

b. How many cases must be sold each day for this manufacturing process to break even?
Your answer must be supported either algebraically or graphically dont just give an answer!

Number of cases sold daily to break even: _________________________
4

10. The following table lists the amount of money Americans spent on antipsychotic drugs
annually from 2004 to 2011 [Source: IMS Institute for Healthcare Informatics, "Use of
Medicines in the United States: Review of 2011"]

Years After 2004 (X - value)
0
1
2
3
4
5
6
7

Billions of Dollars Spent on
Antipsychotic Drugs per year
(Y - value)
8.6
9.9
11.4
12.8
14.3
14.7
16.1
18.2

a. Draw a scatterplot of the data, AND then graph the linear model equation on the same
graph the scatterplot is on.


You may graph on graphing paper and scan it, or graph using a calculator and
attach an image of the screen, or you may use spreadsheet software and attach the
file (free online graphing calculators, tutorials for TI-80 series graphing
calculators, and an instructional video on how to build scatterplots and find the
linear regression models equation using Excel are all available in our LEO
classroom at Content > Table of Contents > Course Resources >
Webliography)

b. The linear regression model of this data produces an equation defined as:
= 1.3048 + 8.6833
Use it to predict the annual amount (in billions of dollars) that will be spent in the US on
antipsychotic drugs in the year 2022 (round answer to nearest tenth of a billion dollars).
Hint: how many years since 2004 is 2022?

Predicted 2022 amount spent ($US billions): __________________________