|
_____1.
|
Simplify.
|
|
_____2.
|
Find a quadratic function to model the values in the table. Predict the value of y for x = 6.
|
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A. y = -2x2 + 2x -2; –58
|
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B. y = 2x2 – 2x -2; 60
|
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C. y = 2x2 – 2x -2; 58
|
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D. y = -2x2 + 2x +2; –58
|
|
|
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______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?
|
|
_____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”.
|
|
_____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).
|
|
_____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.
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Multiple Choice:
Type your answer choice in the blank.
|
|
_____17.
|
Solve for x. State any restrictions on the variables.
|
|
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.
|
|
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