Algebra 2 Midterm Exam

Score: ______ / ______ 

Name: _________________________ 

Student Number: ________________

Multiple Choice: Type your answer choice in the blank.

_____1.

Simplify.

A.

B.

C.

D.

_____2.

Find a quadratic function to model the values in the table. Predict the value of y for x = 6. 

X

y

1

2

0

-2

3

10

A. y = -2x2 + 2x -2; –58

B. y = 2x2 – 2x -2; 60

C. y = 2x2 – 2x -2; 58

D. y = -2x2 + 2x +2; –58

______3.

A manufacturer of shipping boxes has a box shaped like a cube. The side length is 5a + 4b. What is the volume of the box in terms of a and b?

A.

B.

C.

D.

_____4.

In how many ways can 3 singers be selected from 5 who came to an audition?

A. 1

B. 10

C. 5

D. 60

_____5.

Solve the problem by writing an inequality. A club decides to sell T-shirts for $12 as a fund-raiser. It costs $20 plus $8 per T-shirt to make the T-shirts. Write and solve an equation to find how many T-shirts the club needs to make and sell in order to profit at least $100.

A.

B.

C.

D.

Short Answer: Type your answer in the space below each question. Show your work when applicable.

6.

The velocity of sound in air is given by the equation  , where v is the velocity in meters per second and t is the temperature in degrees Celsius. Find the temperature when the velocity is 329 meters per second by graphing the equation. Round the answer to the nearest degree.

7.

The volume in cubic feet of a box can be expressed as  , or as the product of three linear factors with integer coefficients. The width of the box is 2 – x. Factor the polynomial to find linear expressions for the height and the width.

8.

This table shows data on heating oil use for two years in three adjacent buildings on Spring Street.

Heating Oil Use

Number of Gallons Used

Address

2002

2003

152 Spring St.

1215

1093

154 Spring St.

982

975

156 Spring St.

1562

1437

a.

Write a matrix H to represent the data.

b.

Find element . What does this element represent?

9.

Solve the equation. Check for extraneous solutions. Type your answers in the blanks.

x = ______ or ______

Multiple Choice: Type your answer choice in the blank.

_____10.

Assign each letter and a blank space to a number as shown by the alphabet table below: 

0 = _

1 = A

2 = B

3 = C

4 = D

5 = E

6 = F

7 = G

8 = H 

9 = I

10 = J

11 = K

12 = L

13 = M

14 = N

15 = O

16 = P

17 = Q

18 = R

19 = S

20 = T

21 = U

22 = V

23 = W

24 = X

25 = Y

26 = Z 

Use to encode the phrase “FIT AS A FIDDLE”.

A. 

B.

C.

D.

_____11.

A gem store sells beads made of amber and quartz. For 4 amber beads and 4 quartz beads, the cost is $46.00. For 1 amber bead and 3 quartz beads, the cost is $14.50. Find the price of each type of bead.

A. amber $10.00, quartz $1.50

B. amber $9.75, quartz $1.25

C. amber $10.25, quartz $1.75

D. amber $1.50, quartz $10.00

12.

In an experiment, a petri dish with a colony of bacteria is exposed to cold temperatures and then warmed again.

Time (hours)

0

1

2

3

4

5

6

Population (1000s)

5.1

3.03

1.72

1.17

1.38

2.35

4.08

a.

Find a quadratic model for the data in the table. Type your answer below.

b.

Use the model to estimate the population of bacteria at 9 hours. Type your answer below.

Multiple Choice: Type your answer choice in the blank.

_____13.

Evaluate the expression for the given value of the variable(s).

A. 32

B. 48

C. -48

D. 30

_____14.

Find a quadratic model for the set of values.  (–2, –20), (0, –4), (4, –20)

A. y = 4x2 + 4x + 2

B. y = 2x2 - 4x + 4

C. y = 4x2 - 2x - 4

D. y = -2x2 + 4x - 4

15.

Simplify the expression. Type your answer in the blank.

-

16.

Suppose you cut a small square from a square of fabric as shown in the diagram. Write an expression for the remaining shaded area. Factor the expression. Type your answer below.

Multiple Choice: Type your answer choice in the blank.

_____17.

Solve for x. State any restrictions on the variables.

A.  

B. 

C.

D.

18.

Is the relation {(3, 5), (–4, 5), (–5, 0), (1, 1), (4, 0)} a function? Explain. Type your answer below.

19.

Verify that the matrix has no inverse. Type your answer below.

20.

Three friends recorded the amount of time each spent exercising and sleeping over the course of a week.

 

Sleep (hours)

Exercise (hours)

Maria

56

7

Validamir

60

5

Lee

63

10

a.

Put the information into two matrices. Label each matrix.

b.

Find the difference between total hours sleeping and exercising for each person.

1

IFSM 300 Final Assessment

By my signature below, I confirm that the work contained here is my own, I have received no outside assistance and have properly cited and referenced any external research that has been incorporated in my answers. I have fully complied with UMUC's Policy on Academic Dishonesty and Plagiarism (Policy 150.25). Failure to properly credit your research sources is a violation of this policy.

_____________________________________

(Typed signature represents actual signature)

Instructions:

Use the Case Study presented here to answer the questions below. Your responses should demonstrate your understanding of the course content and your analysis and critical thinking; you are not expected to just re-iterate what is in the textbook and the course modules, but to integrate the information and relate it to the Case Study. Answers will be in the form of a list or short answers, as indicated in the questions. Proper APA style must be used for any citations and references that you use. Your Exam will be graded on the accuracy of your responses and whether you have appropriately tied your response to the Case Study. Responses that do not mention the Case Study will receive very few points, if any. Each question is worth 10 points.

Case Study

You have been working for some time at UMUC Pizza, a pizza restaurant located near the UMUC campus. The owner, Bill, is very interested in expanding his successful business. He has just bought Priority Pizza, a pizza shop in a good location across town, and has hired a store manager. He has decided to name the new business (at both locations) UMUC Pizza. Bill’s research shows that there are many other local stores that sell pizza: outlets for major pizza chains in malls and other locations, small outlets and specialty shops, and larger restaurants. While Bill has been keeping all his records of orders, sales and inventory on paper, the records at Priority Pizza are located on the manager’s PC in Excel files. Bill realizes that he must treat the two stores as a single business, with one set of accounts, one billing system, etc. He thinks this is also a good time to stop using paper records for his orders, sales and inventory. Bill really hopes to continue to expand his business by buying other pizza outlets, but he will need good information about his current businesses to know when he should make his next acquisition. He has asked you to help him develop the business strategy and IT Plan to accomplish his goals. You know that there are methodologies for analyzing the business environment and that there are multiple ways to expand the business. You also recognize that IT is an important component for achieving Bill’s goals.

1. Explain Porter’s Five Forces Model and how Bill can use it to analyze his current business and his expansion. Be sure to address each of the 5 forces and explain to Bill what they mean for his UMUC Pizza business.

2. Based on your analysis in question #1, select one of the five forces and explain how Bill can incorporate his analysis of that force into his Strategic Business Plan (SBP).

3. List three business areas and/or processes used in the UMUC Pizza shops that could be supported by an IT solution.

a.

b.

c.

4. List and describe (in two or three sentences each) three IT projects that should be a part of Bill’s IT Plan – one project to support each area and/or process identified in question #3 above.

a.

b.

c.

5. Explain how each IT project listed above specifically improves and/or supports Bill’s UMUC Pizza business.

a.

b.

c.

6. If Bill decides to enter the world of eCommerce, which of the eCommerce models (business-to-business, customer-to-business, business-to-customer, or customer-to-customer) would you recommend to him as a best fit for his business and how would it benefit his business?

7. Describe for Bill what a Supply Chain Management (SCM) solution would look like for his UMUC Pizza business and how his business could benefit from implementing an SCM solution.

8. Describe for Bill what an Enterprise Resource Planning (ERP) solution would look like for his UMUC Pizza business and how his business could benefit from implementing an ERP solution.

9. What benefits would Bill get for his business from implementing a relational database? Your response must be tied directly to Bill’s pizza stores.

10. Make a list of five ways that Bill could protect the data and systems that he is going to put in place. Consider the type of data and systems that would be relevant to Bill’s pizza stores.

a.

b.

c.

d.

e.

TOTAL POINTS, based on 10 points per question:

100 points = 15% of final class grade

POINTS RECORDED (Total Points x .15):

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