2014-15 Algebra II Semester 2 Module 4 Review
Read each question carefully.
1)
The table below shows the number of times a marble was selected out
of a bag of red, blue, and green marbles and then replaced by each
group. Which group will most likely find results tending towards the
theoretical probability of selecting red marble out of the bag?
A)
Group A
B)
Group B
C)
Group C
D)
Group D
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2014-15 Algebra II Semester 2 Module 4 Review
2)
3)
The table below shows the number of times a number cube was rolled
by each group. Which group will most likely find results tending
towards the theoretical probability of rolling a number cube?
A)
Group A
B)
Group B
C)
Group C
D)
Group D
The table below shows the number of times a spinner with 4 equal
sections was spun by each group. Which group will most likely find
results tending towards the theoretical probability of spinning the
spinner?
A)
Group A
B)
Group B
C)
Group C
D)
Group D
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2014-15 Algebra II Semester 2 Module 4 Review
4)
5)
A researcher wants to know if people remember the quadratic formula
10 or more years after graduating from high school. What procedure
would be most appropriate for a study aimed at clarifying this issue?
A)
Randomly select people leaving the supermarket and ask them if
they used the quadratic formula during this shopping trip.
B)
Recruit age appropriate volunteers without revealing the true
purpose of the study and follow them around for 3 days counting
all occasions of them using the quadratic formula.
C)
On a busy sidewalk set up a placard displaying the quadratic
formula with a mistake built in and count how many of the people
passing by will attempt to correct the mistake.
D)
Recruit age appropriate volunteers without revealing the true
purpose of the study and ask them to write down the quadratic
formula.
As a part of a class project, Carl designed a survey of students’
interests in music. Which is the most serious concern about the quality
of the following question from the survey?
What are your favorite genres (think country, hip-hop, indie rock, and
such) of music?
A)
Some students like more than one genre of music.
B)
The question does not specify how many genres one should list.
C)
By mentioning some genres, the question makes them more
likely to appear in the responses.
D)
Some students do not listen to music.
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2014-15 Algebra II Semester 2 Module 4 Review
6)
7)
The math department would like to investigate what changes in
students' study routines occur after the first test. The design of the
study involves students filling in a questionnaire after learning what
grades they received and a subsequent statistical analysis of the
questionnaire. Which grading procedure is most appropriate for this
study?
A)
Grade the test and report the grades to the students.
B)
Grade the test, randomly pair the grades and the students and
report the grades.
C)
Grade the test and adjust the grades so that the grades are
distributed as evenly as possible and report them to the students.
D)
Randomly assign grades and report them to the students.
A survey asked 6,000 random college students about how they are
paying for college. One thousand students surveyed responded that
they have taken out student loans.
Which conclusion can be made about the population from this survey?
A)
Most college students do not use students loans.
B)
Half of college students are using students loans.
C)
One-quarter of college students are using students loans.
D)
All college students are using students loans.
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2014-15 Algebra II Semester 2 Module 4 Review
8)
A survey asked 5,000 random women about their favorite vacation
spot. 4,375 women surveyed chose a beach.
Which conclusion can be made about the population from this survey?
9)
A)
Most people prefer to vacation at the beach.
B)
Eighty percent of women prefer to vacation at the beach.
C)
Most women prefer to vacation at the beach.
D)
Half the women prefer to vacation at the beach.
A survey asked 4,000 random college students about their major.
1,920 students surveyed responded that they are majoring in a
scientific field.
Which conclusion can be made about the population from this survey?
A)
Most college students major in a scientific field.
B)
One-third of college students major in a scientific field.
C)
Most college students do not major in a scientific field.
D)
Half the college students major in a scientific field.
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2014-15 Algebra II Semester 2 Module 4 Review
10)
A survey asked 10,000 random men about their favorite hobby. 1,250
men surveyed chose cooking.
Which conclusion can be made about the population from this survey?
11)
A)
One-fifth of the population of men like to cook.
B)
One-eighth of the population of men like to cook.
C)
One-tenth of the population like to cook.
D)
One-quarter of the population like to cook.
Although the graph is correct, why is it misleading?
A)
The scale on the y-axis is very large.
B)
The scale on the y-axis intervals vary.
C)
The scale on the x-axis is very small.
D)
The scale on the x-axis intervals vary.
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2014-15 Algebra II Semester 2 Module 4 Review
12)
An article claimed that most children watch 4 hours of television. 5 of
the children surveyed said they watch 6 hours, 3 hours, 5 hours, 4
hours, and 3 hours of television.
According to this data, what is wrong with the article's statement?
A)
The article used the mean, when it should have used the median.
B)
The article used the median, when it should have used the mode.
C)
The article used the mean, when it should have used the mode.
D)
The article used the mode, when it should have used the mean.
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2014-15 Algebra II Semester 2 Module 4 Review
13)
The graph shows the number of students in each class that made the
first-semester honor roll.
Although the graph is correct, why is it misleading?
A)
There were 20 more seniors who made the honor roll.
B)
The graph’s y-axis starts at 0 and has a scale of 1.
C)
The graph’s x-axis starts at 19 and has a scale of 1.
D)
The graph’s y-axis starts at 19 and has a scale of 1.
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2014-15 Algebra II Semester 2 Module 4 Review
14)
The "average" player's salary is $4,100,000.
Which player’s salary distorts the average?
15)
A)
Jones
B)
Pixoly
C)
Guarez
D)
McDarrey
An article claimed that the typical price for a textbook is $92.25. The
prices of 6 textbooks found in a bookstore were $76.25, $59.25,
$34.50, $92.25, $88.50, and $92.25.
According to this data, what is wrong with the article's statement?
A)
The article used the mean, when it should have used the mode.
B)
The article used the mode, when it should have used the mean.
C)
The article used the mode, when it should have used the median.
D)
The article used the median, when it should have used the mean.
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2014-15 Algebra II Semester 2 Module 4 Review
16)
Lydia spun a spinner containing red, yellow, blue, and orange sections.
It landed on blue 6 times, yellow 1 times, orange 9 times, and red 4
times.
What is the probability that Lydia will land on blue or red on her next
spin?
A)
B)
C)
D)
17)
Mrs. Johnston’s 3rd-period class collected data by rolling two number
cubes 100 times and recording their sum. After looking at this data,
Mrs. Johnston’s 4th-period class predicted the sum that would be rolled
most frequently. What is a reasonable prediction?
A)
a sum of 4
B)
a sum of 5
C)
a sum of 7
D)
a sum of 9
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2014-15 Algebra II Semester 2 Module 4 Review
18)
Elise rolled a number cube. What is the probability that she will roll a 1
or a 4?
A)
B)
C)
D)
19)
Donald rolled a number cube. What is the probability that he will roll a
2, 3, 4, or 5?
A)
B)
C)
D)
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2014-15 Algebra II Semester 2 Module 4 Review
20)
The following probabilities are given:
P(A) = 0.1,
P(B) = 0.4,
P(A & B) = 0.1,
P(C) = 0.5
P(B & C) = 0.1,
P(C & A) = 0.05
Which events, if any, are independent?
21)
A)
A and B
B)
B and C
C)
C and A
D)
None of the three pairs of events are independent.
In which case are events A and B independent?
A)
P(A) = 0.9; P(B) = 0.1; P(A and B) = 0.09
B)
P(A) = 0.9; P(B) = 0.1; P(A and B) = 0.5
C)
P(A) = 0.9; P(B) = 0.1; P(A and B) = 0.8
D)
P(A) = 0.9; P(B) = 0.1; P(A and B) = 1
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2014-15 Algebra II Semester 2 Module 4 Review
22)
There are 10 red and 15 green balls in an urn. Max flips a coin and if it
lands tails, he will remove some balls from the urn before drawing a
ball. He wants the events of the coin landing tails and drawing a green
ball to be independent.
Removing which combination of balls if the coin lands tails will work for
Max?
23)
A)
2 red and 5 green
B)
4 red and 6 green
C)
5 red and 5 green
D)
10 red and 15 green
Don has 22 white winter socks, 12 black winter socks, 4 black
summer socks, and 12 white summer socks. If one sock is drawn at
random, what is the probability that it is white, given that it is one of
the summer socks?
A)
B)
C)
D)
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2014-15 Algebra II Semester 2 Module 4 Review
24)
A city council consists of 14 Democrats and 16 Republicans. 3
Democrats and 12 Republicans support the proposed budget. A news
reporter randomly stops a council member who happens to be a
supporter of the budget.
What is the probability the reporter is talking to a Democrat?
A)
B)
C)
D)
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2014-15 Algebra II Semester 2 Module 4 Review
25)
A bag contains 8 gray glass marbles, 12 gray metal marbles, 4 black
glass marbles, and 6 black metal marbles. If one marble is drawn at
random, what is the probability that it is glass, given that it is one of
the gray marbles?
A)
B)
C)
D)
26)
The basket has 18 large green apples, 8 small green apples, 6 large red
apples, and 10 small red apples. If one apple is drawn at random,
what is the probability that it is large, given that it is one of the red
apples?
A)
B)
C)
D)
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2014-15 Algebra II Semester 2 Module 4 Review
27)
What is the probability that a dart thrown at the dart board in Figure 1
will land on the one or the two? Note: The vertices of equilateral
triangle 3 bisect the sides of the large equilateral triangle.
A)
B)
C)
D)
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2014-15 Algebra II Semester 2 Module 4 Review
28)
What is the probability that a dart will land on trapezoid 3 or triangle
10?
A)
B)
C)
D)
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2014-15 Algebra II Semester 2 Module 4 Review
29)
If the mean is 0 and the standard deviation is 1, in which section of the
normal distribution will a data point be if it is within 1 standard
deviation below the mean?
A)
Section 5
B)
Section 4
C)
Section 3
D)
Section 2
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2014-15 Algebra II Semester 2 Module 4 Review
30)
If the mean is 0 and the standard deviation is 1, in which sections of
the normal distribution will a data point be if it is within 2 standard
deviations above the mean?
A)
Sections 3 and 4
B)
Sections 4 and 5
C)
Sections 5 and 6
D)
Sections 7 and 8
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2014-15 Algebra II Semester 2 Module 4 Review
31)
If the mean is 0 and the standard deviation is 1, in which sections of
the normal distribution will a data point be if it is within 3 standard
deviations below the mean?
A)
Sections 6, 7, and 8
B)
Sections 5, 6, and 7
C)
Sections 3, 4, and 5
D)
Sections 2, 3, and 4
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2014-15 Algebra II Semester 2 Module 4 Review
32)
33)
If the mean is 0 and the standard deviation is 1, in which sections of
the normal distribution will a data point be if it is within 2 standard
deviations of the mean?
A)
Sections 3, 4, 5, and 6
B)
Sections 4, 5, 6, and 7
C)
Sections 2, 3, 6, and 7
D)
Sections 1, 2, 7, and 8
What is the rule for the nth term of the sequence given below?
A)
B)
C)
D)
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2014-15 Algebra II Semester 2 Module 4 Review
34)
What is the explicit form of the following formula of a sequence?
a1 = 6, an = an-1 + 1
35)
A)
an = 5 + n
B)
an = 6n
C)
an = 6n + 6
D)
an = 7 - n
Which formula generates the following sequence?
-1, -1, -1, -1, -1
A)
B)
C)
D)
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2014-15 Algebra II Semester 2 Module 4 Review
36)
What is the rule for the nth term of the sequence given below?
A)
B)
C)
D)
37)
Which formula generates the following sequence?
0, 3, -3, 9, -15
A)
B)
C)
D)
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2014-15 Algebra II Semester 2 Module 4 Review
38)
What is the rule for the nth term of the sequence given below?
A)
B)
C)
D)
39)
Which best describes how the graph will be affected when the quadratic
equation
y = 2x2 + 3 is changed to y = 2x2 + 4?
A)
The graph moves down 4.
B)
The graph moves up 3.
C)
The graph moves down 1.
D)
The graph moves up 1.
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2014-15 Algebra II Semester 2 Module 4 Review
40)
A)
The graphs have the same vertices but different shapes.
B)
Their vertices are maximums.
C)
Their vertices are minimums.
D)
One graph has a vertex that is a maximum, while the other graph
has a vertex that is a minimum.
A)
down 2 and 7 to the left
B)
down 2 and 7 to the right
C)
up 2 and 7 to the left
D)
up 2 and 7 to the right
41)
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2014-15 Algebra II Semester 2 Module 4 Review
42)
A)
down 5 and 5 to the left
B)
down 5 and 5 to the right
C)
up 5 and 5 to the left
D)
up 5 and 5 to the right
A)
Their vertices are minimums.
B)
The graphs have the same shape with different vertices.
C)
The graphs have different shapes with different vertices.
D)
One graph has a vertex that is a maximum, while the other graph
has a vertex that is a minimum.
43)
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2014-15 Algebra II Semester 2 Module 4 Review
44)
45)
A)
up 3 and 3 to the left
B)
down 3 and 3 to the left
C)
up 3 and 3 to the right
D)
down 3 and 3 to the right
Which best describes how the graph will be affected when the quadratic
equation
y = 5x2 + 1 is changed to y = 3x2 + 1?
A)
The graph moves down 2.
B)
The graph becomes wider.
C)
The graph becomes narrower.
D)
The graph moves up 3.
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2014-15 Algebra II Semester 2 Module 4 Review
46)
Fifty rabbits are introduced into the woods. Their population grows
exponentially with time, as shown in the table below. Which of the
following equations expresses the number of rabbits, y, present at any
time, t.
A)
B)
C)
D)
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2014-15 Algebra II Semester 2 Module 4 Review
47)
Which function is graphed below?
A)
B)
C)
D)
48)
The number of ants in a colony was 50 in 1996 and has increased by
14% each year. Which exponential growth model shows the number of
aunts in the colony in terms of t, the number of years since 1996?
A)
B)
C)
D)
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2014-15 Algebra II Semester 2 Module 4 Review
49)
The number of members in the hiking club was 23 in 2000 and has
increased by 18% each year. Which model shows the club's
membership in terms of t, the number of years since 2000?
A)
B)
C)
D)
50)
The number of members in the band was 82 in 2000 and has
decreased by 8% each year. Which model shows the band's
membership in terms of t, the number of years since 2000?
A)
B)
C)
D)
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2014-15 Algebra II Semester 2 Module 4 Review
51)
A new car costs $22,290. For the first 5 years, the value of the car
depreciates linearly by $2,334 per year.
Which equation represents the value, v, of the car within t years after it
was bought if 0 < t < 5?
52)
A)
v = $22,290 + $2,334t
B)
v = $2,334 - $22,290t
C)
v = $2,334 + $22,290t
D)
v = $22,290 - $2,334t
Force is applied to a hanging spring measuring 20mm in length and the
change in the length of the original spring is recorded. The table shows
the results of this experiment.
Which equation represents the length, s, of the spring with respect to
the amount, f, of force applied?
A)
s = 20 + 2f
B)
s = 20 + 3f
C)
s = 20 - 3f
D)
s = 26 - 2f
32