AnswersMathematics for College Liberal Arts Sem 1 1207350 BCPS 2025-26Cumulative Exam

Cumulative Exam — Cumulative exam Answers

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What value is a counterexample for the conditional statement shown?If a number between 0 and 100 is an odd perfect square, then the only factors of the number are 1, the number itself, and the square root of the number.

A
9
B
25
C
49
D
81
22
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As an introduction to probability, a student is asked to roll a fair, six-sided number cube seven times. The results of those seven rolls are shown below.1, 4, 4, 4, 4, 6, 5

A
1
B
1.53
C
2
D
5
23

What are the domain and range of f(x) = + 2?

Question illustration
A
domain: ; range: {y | y > 0}
Option A
B
domain: ; range: {y | y > 2}
Option B
C
domain: {x | x is a real number}; range: {y | y > 2}
D
domain: {x | x is a real number}; range: {y | y > –2}
24

The parallel boxplots below display the weights of bags of two different brands, A and B, of granola.Which statement is a correct comparison of the distribution of granola bag weights for brands A and B?

Question illustration
A
The bag weights for brand A have less variability than the bag weights for brand B.
B
The bag weights for brand A have more variability than the bag weights for brand B.
C
Brand B bags typically weigh more than brand A bags because there is a high outlier at 52.5.
D
Brand B bags typically weigh more because the range of weights is higher than that of brand A.
25

Mr. Shaw graphs the function f(x) = –5x + 2 for his class. The line contains the point (-2, 12). What is the point-slope form of the equation of the line he graphed?

y
y – 12 = –5(x + 2)
y
y – 12 = 2(x + 2)
y
y + 12 = 2(x – 2)
y
y + 12 = –5(x – 2)
26

The five-number summary of a data set is given below.Minimum: 3 Q1: 12 Median: 15 Q3: 16 Maximum: 20Which of the following is a true statement about outliers for this distribution?

A
The distribution’s maximum is an outlier.
B
The distribution’s minimum is an outlier.
C
There are no outliers for this distribution.
D
Distribution outliers cannot be determined.
27

A line that passes through the points (–4, 10) and (–1, 5) can be represented by the equation y = (x – 2). Which equations also represent this line? Select three options.

Question illustration
A
y = x – 2
Option A
B
y = x +
Option B
C
3y = –5x + 10
D
3x + 15y = 30
E
5x + 3y = 10
28

A school administrator asks each student if they participate in a sport and if they participate in a club. The results are shown below. Participates in a Sport YesNoTotalParticipates in a ClubYes6204501070No325535860 Total9459851930What percentage of students do not participate in a sport?

A
27.7%
B
44.6%
C
51.0%
D
62.2%
29

The stemplot below displays the times, in seconds, for 25 students to run 100 meters.

Question illustration
A
22, 24, 26, 28, 29
B
23, 24.5, 26, 28, 29
C
22, 24, 27, 28, 30
D
22, 24.5, 26, 28, 30
30

Which linear function represents the line given by the point-slope equation y + 7 = –(x + 6)?

Question illustration
A
f(x) = –x – 11
Option A
B
f(x) = –x – 1
Option B
C
f(x) = –x + 3
Option C
D
f(x) = –x + 13
Option D
31

The resting heart rates for a sample of 15 students are recorded in the following stemplot.

Question illustration
A
66.0 beats per minute
B
69.0 beats per minute
C
69.9 beats per minute
D
70.0 beats per minute
32

A graph with both axes numbered 1 to 10. A line increases from 1 to 3 then decreases from 3 to 5.

Question illustration
A
f(x) = 2(x – 5)(x – 1)
B
f(x) = –2(x – 5)(x – 1)
C
f(x) = 2(x + 5)(x + 1)
D
f(x) = –2(x + 5)(x + 1)
33

Which of the following best describes how the y values are changing over each interval?xy122438416532

A
They are increasing by 2 each time.
B
They are increasing by 4 each time.
C
They are being multiplied by 2 each time.
D
They are being multiplied by 4 each time.
34

A family visits a car show to research information on vehicles they might consider purchasing. Brochures for each vehicle provide helpful information for the vehicle. Which of the following is an example of a continuous quantitative variable that might be included in the brochure?

A
number of seats
B
type of transmission
C
presence of a sunroof
D
fuel efficiency (in mpg)
35

The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f(x) = –0.3x2 + 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet.

A
3.2 feet
B
4.8 feet
C
5.6 feet
D
6.8 feet
36

The table represents a linear equation.

Question illustration
A
y – 6 = (x – 2)
Option A
B
y – 6 = (x – 2)
Option B
C
y + 6 = (x + 2)
Option C
D
y + 6 = (x + 2)
Option D
37

The converse of a conditional statement is "If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.”What is the inverse of the original conditional statement?

A
If a figure is a polygon, then the sum of the exterior angles is 360°.
B
If the sum of the exterior angles of a figure is not 360°, then the figure is not a polygon.
C
If the sum of the exterior angles of a figure is 360°, then the figure is not a polygon.
D
If a figure is not a polygon, then the sum of the exterior angles is not 360°.
38

What is the constant of variation, k, of the line y=kx through (3,18) and (5,30)?

A
Option
Option A
B
Option
Option B
C
3
D
6
39

f(x) = g(x) = – 3

Question illustration
T
The range of g(x) is , {y | y > 0} and the range of f(x) is {y | y > –3}.
T
The range of g(x) is , {y | y > 3} and the range of f(x) is {y | y > 0}.
T
The asymptote of g(x) is the asymptote of f(x) shifted three units down.
T
The asymptote of g(x) is the asymptote of f(x) shifted three units up.
40

The eye color for students in a statistics class was recorded. The relative frequencies for each color are listed in the table below.

Question illustration
A
0.27
B
0.30
C
0.37
D
0.50

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