Mathematics 3 Final Exam Practice
Multiple Choice
Identify the choice that best completes the statement or answers the question.
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The following table represents nutrition information about one serving of different protein sources. Use the
table for the following question.
Protein source
Cod
Calories
89
Fat
(grams)
Carbohydrates
(grams)
Protein
(grams)
0.7
0
19.4
Pot roast
105
3.1
0
18.1
Black beans
114
0.5
20.4
7.6
Italian sausage
346
31.3
0.7
14.3
1. One day Sean ate 1 serving of cod, 2 servings of black beans, and 1 serving of Italian sausage. Which row matrix B
represents the number of servings of each protein source?
A)
B)
C)
D)
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The following table represents nutrition information about one serving of different protein sources. Use the
table for the following question.
Protein source
Cod
Calories
89
Fat
(grams)
Carbohydrates
(grams)
Protein
(grams)
0.7
0
19.4
Pot roast
105
3.1
0
18.1
Black beans
114
0.5
20.4
7.6
Italian sausage
346
31.3
0.7
14.3
2. Which of the following points is not a solution to
the system of linear inequalities?
A) (10, 0)
B) (3, 0)
C) (0, 10)
D)
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3. Which is an equation of the quadratic function
whose graph includes the three points
and
A)
B)
C)
D)
4. What are the coordinates of the midpoint of the line
segment with endpoints
and
A)
B)
C)
D)
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5. Which function is represented by the graph?
A) Reflect the graph of
about the y-axis and
then dilate the resulting graph vertically by a
factor of 2.
B) Reflect the graph of
about the y-axis and
then dilate the resulting graph vertically by a
factor of 3.
C) Reflect the graph of
about the y-axis and
translate the graph up 2 units.
D) Reflect the graph of
about the x-axis and
translate the graph down 2 units.
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7. Which transformations will produce the graph of
from the graph of
?
A) Translate the graph of f(x) to the right 2 units
and up 5 units.
B) Translate the graph of f(x) to the left 5 units
and up 2 units.
C) Translate the graph of f(x) to the right 2 units
and down 5 units.
D) Translate the graph of f(x) to the left 2 units
and down 5 units.
8. What is the domain of the function
?
A) all real numbers greater than 5
B) all real numbers greater than
C) all real numbers less than 5
D) all real numbers greater than or equal to 1
9. What is the value of log 765 to the nearest
thousandth?
A)
B)
C)
D)
6.640
2.884
27.659
3.884
10. What is the value of
A)
B)
C)
D)
6. Which transformations would produce the graph of
from the graph of
?
thousandth?
A) 1.8062
B) 4.1589
C)
D)
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to the nearest ten-
A)
11. The amount of money in an account into which
equal deposits are made each month can be
calculated using the formula
,
where P is the amount of money in the account, p is
the amount that you deposit each month, n is the
number of months, and I is the interest rate per
payment period. If you deposit $50 each month into
a savings account that pays 4.5% interest
compounded monthly, how much will be in your
account at the end of 6 years?
A) $9215.68
B) $3600.00
C) $4124.04
D) $3762.00
12. The age of a depreciated item can be predicted
using the formula
, where t is the age
B)
C)
D)
15. What is the value of
thousandth?
to the nearest ten
A) 0.3667
B) 2.1303
C) 2.5208
D) 19.2857
16. What are all the solutions of the equation
A)
B)
C)
D) The equation has no solutions.
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of the item in years, V is the value of the item after t
years, C is the original value of the item, and r is
the annual rate of depreciation expressed as a
decimal. A 4-year-old car was originally purchased
for $26,350. Its current value is $11,250. To the
nearest tenth of a percent, what is this car’s annual
rate of depreciation?
17. What is the equation of a circle with center at the
origin and radius 2.5?
A)
B)
C)
D)
18. What is the center of the circle whose equation in
general form is
?
9.2%
57.3%
37.0%
19.2%
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13. Which is a correct statement of a property of
logarithms?
A)
B)
C)
D)
A)
B)
C)
D)
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A)
B)
19. Which equation has the same graph as the equation
?
C)
D)
14. How can the expression
as a single logarithm?
A)
ln x be rewritten
B)
C)
D)
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20. Which is another way to write the equation of the
parabola
?
A)
B)
C)
C) Choose the first 100 high school students who
enter the gym.
D) Divide all the high school students into groups
by individual high school. Choose one high
school, and then choose every tenth student
who enters the building.
24. Which question is best answered by an
observational study?
A) Which analgesic provides the quickest relief
for headaches?
B) How many cousins does the average resident
of the United States have?
C) Who is the most popular musician this month?
D) Do students eat the school lunches they buy?
D)
21. Which are the coordinates of the focus of the
parabola represented by the equation
?
A)
B)
C)
D)
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25. Which data is discrete?
A) the time it takes a number of students to run a
mile
B) the weights of a number of igneous rock
samples
C) the distances between a number of cities
D) the number of students late for a class
26. What are the mean and standard deviation of the
normal distribution in the graph?
22. For an ellipse, which describes the relationship
between the coefficients A and B in the general
form of a conic section,
?
A)
B)
C)
D)
; A and B are the same sign.
; A and B are opposite signs.
and
or
and
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23. Which selection method is a stratified random
sample?
A) Assign each high school student a number.
Choose every tenth high school student based
on that number.
B) Divide all the high school students into groups
by individual high school, then randomly
choose 10 students from each group.
A)
,
B)
,
C)
,
D)
,
27. The time between eruptions of one geyser is
normally distributed with a mean of 105 minutes
and a standard deviation of 9 minutes. What
percentage of the geyser’s time between eruptions
is more than 2 hours?
A)
B)
C)
D)
4.75%
8.63%
12.84%
95.22%
28. A herd of adult giraffes has a mean height of 15.7
feet tall with a standard deviation of 0.6 feet. The
heights are normally distributed. What data value
has a z-score of 1.5?
A)
B)
C)
D)
16.3
16.6
16.9
17.3
Mathematics 3 Final Exam Practice
Answer Section
MULTIPLE CHOICE
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C
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C
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B
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A
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A
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A
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D
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B
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D
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C
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C
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B
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B
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B
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A
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C
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C
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B
PTS: 1
REF: Ch2.L1
STA: MM3A6a | MM3A6b
PTS: 1
REF: Ch2.L2
STA: MM3A6a | MM3A6b
PTS: 1
REF: Ch4.L3
STA: MM3A1d
PTS: 1
REF: Ch4.L1
STA: MM3A1d
PTS: 1
REF: Ch6.L4
STA: MM3A2e
PTS: 1
REF: Ch6.L5
STA: MM3A2f
PTS: 1
REF: Ch7.L4
STA: MM3A2f
PTS: 1
REF: Ch7.L3
STA: MM3A2e
PTS: 1
REF: Ch7.L2
STA: MM3A2c
PTS: 1
REF: Ch7.L2
STA: MM3A2c
PTS: 1
REF: Ch8.L4
STA: MM3A2g
PTS: 1
REF: Ch8.L3
STA: MM3A2g
PTS: 1
REF: Ch9.L1
STA: MM3A2d
PTS: 1
REF: Ch9.L1
STA: MM3A2d
PTS: 1
REF: Ch9.L2
STA: MM3A3b | MM3A3c | MM3A3d
PTS: 1
REF: Ch9.L2
STA: MM3A3b | MM3A3c | MM3A3d
PTS: 1
REF: Ch11.L2
STA: MM3G1a | MM3G1b
PTS: 1
REF: Ch11.L2
STA: MM3G1a | MM3G1b
PTS: 1
REF: Ch12.L2
STA: MM3G2a | MM3G2b | MM3G2c
PTS: 1
REF: Ch14.L3
STA: MM3G2a | MM3G2b | MM3G2c
PTS: 1
REF: Ch14.L2
STA: MM3G2a | MM3G2b | MM3G2c
PTS: 1
REF: Ch15.L1
STA: MM3G2a | MM3G2b | MM3G2c
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28. ANS:
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B
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D
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D
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A
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A
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B
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PTS: 1
REF: Ch16.L1
STA: MM3D3
PTS: 1
REF: Ch16.L3
STA: MM3D3
PTS: 1
REF: Ch17.L1
STA: MM3D2
PTS: 1
REF: Ch17.L4
STA: MM3D2
PTS: 1
REF: Ch17.L7
STA: MM3D2
PTS: 1
REF: Ch17.L5
STA: MM3D2