BetterPie Industries has 3 million shares of common stock outstanding, 2 million shares of preferred stock outstanding, and 10,000 bonds. Assume the common shares are selling for $48 per share, the preferred shares are selling for $25.50 per share, and the bonds are selling for 99 percent of par. What would be the weights used in the calculation of BetterPie’s WACC? (Do not round intermediate calculations and round your answers to 2 decimal places.)   Equity weight  %     Preferred stock weight  %     Debt weight  %   Algebra 2 Midterm Exam 1 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 Algebra 2 Midterm Exam 2 ______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. Algebra 2 Midterm Exam 3 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? Algebra 2 Midterm Exam 4 9. So ...

1. BetterPie Industries has 3 million shares of common stock
outstanding, 2 million shares of preferred stock outstanding,
and 10,000 bonds. Assume the common shares are selling for
$48 per share, the preferred shares are selling for $25.50 per
share, and the bonds are selling for 99 percent of par.
What would be the weights used in the calculation of
BetterPie’s WACC? (Do not round intermediate calculations
and round your answers to 2 decimal places.)
Equity weight
%
Preferred stock weight
%
Debt weight
%
Algebra 2 Midterm Exam
1
Score: ______ / ______
Name: _________________________

2. 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

3. 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
Algebra 2 Midterm Exam
2

4. ______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

5. 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.
Algebra 2 Midterm Exam

6. 3
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

7. 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?
Algebra 2 Midterm Exam
4

8. 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

9. 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

10. 23 = W
24 = X
25 = Y
26 = Z
Use to encode the phrase “FIT AS A FIDDLE”.
[
]
A. [
]
B. [

11. ]
C. [
]
Algebra 2 Midterm Exam
5
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

12. 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.

13. b. Use the model to estimate the population of bacteria at 9
hours.
Type your answer below.
Algebra 2 Midterm Exam
6
Multiple Choice: Type your answer choice in the blank.
_____13. Evaluate the expression for the given value of the
variable(s).

14. ( )
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. 15. Simplify the expression. Type your answer in the blank.
-| |
Algebra 2 Midterm Exam
7
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

16. 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.

17. Algebra 2 Midterm Exam
8
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.
[
]

18. 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.

19. Algebra 2 Midterm Exam
9
b. Find the difference between total hours sleeping and
exercising
for each person.