
MTH 157  FINAL EXAM.pdf Download Attachment
Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
State whether the equation represents a linear,...Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
State whether the equation represents a linear, quadratic, or exponential function.
1) y = 9  x
A) Linear
C) Exponential
1)
B) Quadratic
D) None of the above
Use patterns or a linear equation to complete the table.
2)
x
y
1
7
3
15
5
23
10
?
50
?
100
?
A)
B)
x
y
x
y
1
7
1
7
3
15
3
15
5
23
5
23
10
70
10
43
50
350
50
203
100 700
100 403
2)
C)
D)
x
1
3
5
10
50
100
1
y
7
15
23
37
203
403
x
1
3
5
10
50
100
y
7
15
23
43
83
203
Solve the problem.
3) An accountant tabulated a firm's profits for four recent years in the following table:
Year
1996
1997
1998
1999
3)
Profits
$250,000
$300,000
$400,000
$600,000
The accountant then fit both a linear graph and an exponential curve (seen below) to the data, in
order to estimate future profits. Use the linear graph to estimate the profits in the year 2002.
A) About $500,000
C) About $1,000,000
B) About $900,000
D) About $800,000
Decide if the given number is a solution to the given equation.
4) 10x2 = 90;  3
A) Yes
Solve the linear equation.
5) 45 = 7 r + 10
A) 3
6)
4)
B) No
5)
B) 32
C) 28
D) 5
p 3p
=2
3
8
A)  48
6)
B) 96
C) 48
D)  96
Solve the quadratic equation.
7) x2 + 8x  48 = 0
A) 12,  4
7)
B) 12, 4
C)  12, 4
2
D)  12, 1
State the solutions, or estimated solutions, to the quadratic equation represented by the related quadratic function.
8)
8)
50
y
40
30
20
10
10
5
5
10
x
10
20
30
40
50
A)  10
B) 0,  10
C) 10
D) 0
Without graphing, identify the slope and the y intercept.
1
9) y =  x + 5
2
A) Slope C) Slope
9)
1
; y intercept (0, 5)
2
B) Slope 
1
; y intercept (0, 5)
2
D) Slope
1
; yintercept (0,  5)
2
1
; y intercept (0,  5)
2
Determine whether the lines are parallel, perpendicular, or neither.
4
5
10) y = 3 x + and y = 3 x 5
4
A) Parallel
10)
B) Perpendicular
Find the slope of the line passing through the pair of points.
11) (3 ,  14) and (  10, 17)
31
31
A) B)
13
13
C) Neither
11)
13
C) 31
3
D) 7
Write an equation of the line satisfying the given conditions.
5
12) Slope =  ; y intercept of 2
9
A) y = 
5
x2
9
B) y = 
5
x+2
9
12)
C) y = 
9
x+2
5
D) y = 
5
1
x+
9
2
Solve the prolem.
13) A bank teller has some five dollar bills and some twenty dollar bills. The teller has 5 more of the
twenties. The total value of the money is $725. Find the number of five  dollar bills that the teller
has.
A) 30
B) 35
C) 25
D) 20
3
13)
Find the midpoint of the line segment having the given endpoints.
14) ( 5 , 9 ) and ( 4 , 2 )
A) M  9,  11
1
7
C) M  , 2
2
B) M  1 ,  7
14)
9
11
D) M  , 2
2
Find the distance between the two points. Round an approximate result to the nearest hundredth.
15) (7 , 5 ) and ( 12, 17)
A) 5
B) 13
C) 12
D) 3.46
Solve the problem.
16) Williamston Daily is a new daily newspaper. When they first started printing three years ago they
had 5200 home delivery subscribers. The number of subscribers increases by 72 every month.
Write an equation that shows the relationship between the number of subscribers, B, and the
number of months the paper has been printed, n.
A) B = 72n + 5200
B) B = 5200 n + 72
C) B = 216 n + 5200
D) B = 72n + 3
17) In how many ways can 6 people line up for play tickets?
A) 6
B) 1
C) 720
15)
16)
17)
D) 46,656
18) A musician plans to perform 5 selections for a concert. If he can choose from 7 different pieces,
how many ways can he arrange his program?
A) 16,807
B) 21
C) 2520
D) 35
18)
19) The letters LACSIPE fell off a billboard. How many different ways can the letters be arranged,
hoping to find the correct spelling of SPECIAL?
A) 5040
B) 40,320
C) 7
D) 720
19)
Refer to the figure and determine whether the statement is true or false.
20) AB and GF are skew lines.
A) True
20)
B) False
21) AK and EK are perpendicular to the plane BFE.
A) True
B) False
21)
22) Points B, K , F, and A are coplanar.
A) True
22)
B) False
4
Solve the problem.
23) What is the angle sum of a regular polygon with 5 sides?
A) 900°
B) 270 °
C) 540°
23)
D) 810 °
24) If each angle of a regular polygon measures 120 °, how many sides does it have?
A) 6 sides
B) 8 sides
C) 4 sides
D) 3 sides
Use the properties of parallel lines to solve the problem.
25) If m n and m ∠6 = 125°, what are the measures of the other angles?
24)
25)
A) m∠2 = m∠4 = m∠8 = 125 °, m∠1 = m∠3 = m∠5 = m∠7 = 55°
B) m∠5 = m∠7 = m∠8 = 125 °, m∠1 = m∠2 = m∠3 = m∠4 = 55°
C) m∠2 = m∠4 = m∠8 = 125 °, m∠1 = m∠3 = m∠5 = m∠7 = 65°
D) m∠2 = m∠4 = m∠8 = 125 °, m∠1 = m∠3 = m∠5 = m∠7 = 35°
Use the circle graph to solve the problem.
26) The circle graph shows the percent of the total population of 92,600 of Springfield living in the
given types of housing.
Apts
41%
Single
family
30%
Duplex
4%
Townhouse
6%
Condo
19%
Find the number of people who live in townhouses. Round your result to the nearest whole
number.
A) 5556 people
B) 6 people
C) 87,044 people
5
D) 926 people
26)
Use the figure to answer the question.
27) The weights (in pounds) of a group of high school students are listed below in a stem and leaf
plot.
9
10
11
12
13
14
15
8
1
0
3
0
1
1
9
4
2
5
0
2
6
6
4
8
2
2
7
7
4
9
4
2
9
27)
8
68
6789
578
Which interval has the most students in it?
A) 140 149
B) 130  139
C) 110 119
D) 90 99
Use the line graph to answer the question.
28) The sales figures for the Big "D" Company area shown below in a line plot.
Which month in 2006 had the lowest sales?
A) Month 2
B) Month 6
C) Month 3
6
28)
D) Month 8
Answer the question.
29) The following scatterplot shows heights (in inches) of children and their ages.
29)
Height (inches)
50
45
40
35
30
25
20
15
10
5
1
2
3
4
5
6
7
8
9
10 11 12 13 14 15 16
Age (years)
What is the expected height range for a 2  year old child?
A) 20 30 inches
B) 35 45 inches
C) 25 38 inches
D) 40 50 inches
Find the median for the given sample data.
30) The number of vehicles passing through a bank drive up line during each 15 minute period was
recorded. The results are shown below. Find the median number of vehicles going through the line
in a fifteen minute period.
28 30 28 31
31 28 33 30
38 34 34 32
27 34 28 23
18 30 30 30
A) 30
B) 29.85
C) 34
D) 31
Find the mean of the data.
31) The students in Hugh Logan's math class took the Scholastic Aptitude Test. Their math scores are
shown below.
516
343
547
351
347
563
350
470
30)
31)
627
482
Find the mean. Round to the nearest tenth.
A) 476.0
B) 469.0
C) 459.6
Find the mode for the given data.
32) Find the mode of these downtime hours :
14.3, 1, 4, 4.4, 12, 14.3, 4, 1, 14.3, 14.3
A) 8.2
C) 14.3
D) 450.6
32)
B) two modes 4 and 14.3
D) none
7
Find the range of the data set.
33) {10.2, 7.4 , 8.9 , 6.5 , 9.6 }
A) 3.7
33)
B) 10.2
C) 8.4
D) 8.2
Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.
34) {2 , 9 , 41, 19, 17, 45, 22, 33}
34)
A) 25
B) 23.5
C) 199.5
D) 14.1
Construct a box and whisker plot for the set of data.
35) {20, 30, 40, 25, 35, 22, 50, 42, 32, 45, 55, 52}
A)
35)
B)
C)
D)
Provide an appropriate response.
36) Following are box and whisker plots comparing the study times in hours per week for Sarah and
Elaine.
36)
What is the value of Q1 for Sarah? for Elaine?
A) Sarah, 2 hours; Elaine, 3 hours
C) Sarah, 3 hours; Elaine, 6 hours
B) Sarah, 0 hours; Elaine, 2 hours
D) Sarah, 5 hours; Elaine, 8 hours
Solve the problem.
37) A gymnast needs to score an average of 8.475 in order for her team to win the competition. Her
score was 9.8 on her uneven bars, 8.2 on the floor exercise, and 7.3 on the vault. What must her
score be on the balance beam for her team to win?
A) 8.4
B) 8.6
C) 9.6
D) 8.475
Consider the experiment of rolling a single die. Find the probability of the event described.
38) What is the probability of rolling a number less than or equal to 1?
1
A) 6
B)
C) 0
D) 1
6
8
37)
38)
Solve the problem.
39) How many three  letter code symbols can be formed using a set of 6 different letters if repetition is
not allowed?
A) 20
B) 216
C) 120
D) 720
40) How many ways can 6 cars be parked in a row of 6 parking spaces?
A) 120
B) 6
C) 36
40)
D) 720
41) A shoe store carries one brand of shoe in 4 styles, 4 sizes, and 5 colors. How many different shoes
are available for this one brand?
A) 80
B) 13
C) 64
D) 40
Identify the motion or combination of motions that would produce the image.
42)
A) Reflection
C) Translation
39)
41)
42)
B) Rotation
D) Glide reflection
43)
43)
A) Reflection
C) Rotation
B) Translation
D) Glide reflection
List the vertex arrangements.
44)
44)
A) 3, 4, 3, 6
C) 3, 4, 3, 6 and 3, 4, 6, 4
B) 3, 4, 6, 4 and 3, 4, 4, 6
D) 3, 4, 6, 4
9
Use Euler's formula to answer the question.
45) A polyhedron has 13 vertices and 18 faces. How many edges does it have?
A) 33
B) 31
C) 29
Make the following conversions to the nearest degree.
46) 50°C =
°F
A) 122°F
B) 148 °F
45)
D) 30
46)
C) 60°F
D) 23°F
Complete the following. Round to the nearest tenth.
47) 197 lb =
kg
A) 89.5
47)
B) 500.4
C) 208.8
C) 90°C
Make the following conversions to the nearest degree.
48) 68°F =
°C
A) 20°C
B) 154 °C
D) 433.4
D) 6 °C
48)
Select the best answer.
49) The inside of your refrigerator might be set to a temperature of about
A)  2.7 °C
B) 40.5°C
C) 2.7 °C
49)
D) 27°C
Find the surface area of the solid.
50)
50)
Right circular cylinder with r = 7 cm, h = 4 cm
A) 395.6 cm 2
B) 483.6 cm 2
C) 241.8 cm 2
10
D) 615.4 cm 2
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