2014-15 honors alg ii sem2 module 4 test review read each question carefully. · 2015-05-07 ·...

2014-15 Honors Alg II Sem2 Module 4 Test Review

Read each question carefully.

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)

C)

B)

D)

1)

Group A

Group B

Group C

Group D

1


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)

C)

B)

D)

2)

Group A

Group B

Group C

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)

C)

B)

D)

3)

Group A

Group B

Group C

Group D

2


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)

C)

B)

D)

4)

Randomly select people leaving the supermarket and ask them if they used the quadratic formula during this shopping trip.

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.

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.

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)

C)

B)

D)

5)

Some students like more than one genre of music.

The question does not specify how many genres one should list.

By mentioning some genres, the question makes them more likely to appear in the responses.

Some students do not listen to music.

3


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)

C)

B)

D)

6)

Grade the test and report the grades to the students.

Grade the test, randomly pair the grades and the students and report the grades.

Grade the test and adjust the grades so that the grades are distributed as evenly as possible and report them to the students.

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)

C)

B)

D)

7)

Most college students do not use students loans.

Half of college students are using students loans.

One-quarter of college students are using students loans.

All college students are using students loans.

4


A survey asked 5,000 random women about their favorite vacation spot. 4,375 women surveyed chose a beach.


A)

C)

B)

D)

8)

Most people prefer to vacation at the beach.

Eighty percent of women prefer to vacation at the beach.

Most women prefer to vacation at the beach.

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.


A)

C)

B)

D)

9)

Most college students major in a scientific field.

One-third of college students major in a scientific field.

Most college students do not major in a scientific field.

Half the college students major in a scientific field.

5


A survey asked 10,000 random men about their favorite hobby. 1,250 men surveyed chose cooking.


A)

C)

B)

D)

10)

One-fifth of the population of men like to cook.

One-eighth of the population of men like to cook.

One-tenth of the population like to cook.

One-quarter of the population like to cook.

Although the graph is correct, why is it misleading?

A)

C)

B)

D)

11)

The scale on the y-axis is very large.

The scale on the y-axis intervals vary.

The scale on the x-axis is very small.

The scale on the x-axis intervals vary.

6


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)

C)

B)

D)

12)

The article used the mean, when it should have used the median.

The article used the median, when it should have used the mode.

The article used the mean, when it should have used the mode.

The article used the mode, when it should have used the mean.

7


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)

C)

B)

D)

13)

There were 20 more seniors who made the honor roll.

The graph’s y-axis starts at 0 and has a scale of 1.

The graph’s x-axis starts at 19 and has a scale of 1.

The graph’s y-axis starts at 19 and has a scale of 1.

8


The "average" player's salary is $4,100,000.

Which player’s salary distorts the average?

A)

C)

B)

D)

14)

Jones

Pixoly

Guarez

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)

C)

B)

D)

15)

The article used the mean, when it should have used the mode.

The article used the mode, when it should have used the mean.

The article used the mode, when it should have used the median.

The article used the median, when it should have used the mean.

9


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)

C)

B)

D)

16)

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)

C)

B)

D)

17)

a sum of 4

a sum of 5

a sum of 7

a sum of 9

10


Elise rolled a number cube. What is the probability that she will roll a 1 or a 4?

A)

C)

B)

D)

18)

Donald rolled a number cube. What is the probability that he will roll a 2, 3, 4, or 5?

A)

C)

B)

D)

19)

12


The following probabilities are given:

P(A) = 0.1, P(B) = 0.4, P(C) = 0.5

P(A & B) = 0.1, P(B & C) = 0.1, P(C & A) = 0.05

Which events, if any, are independent?

A)

C)

B)

D)

20)

A and B

B and C

C and A

None of the three pairs of events are independent.

In which case are events A and B independent?

A)

C)

B)

D)

21)

P(A) = 0.9; P(B) = 0.1; P(A and B) = 0.09

P(A) = 0.9; P(B) = 0.1; P(A and B) = 0.5

P(A) = 0.9; P(B) = 0.1; P(A and B) = 0.8

P(A) = 0.9; P(B) = 0.1; P(A and B) = 1

13


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?

A)

C)

B)

D)

22)

2 red and 5 green

4 red and 6 green

5 red and 5 green

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)

C)

B)

D)

23)

14


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)

C)

B)

D)

24)

15


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)

C)

B)

D)

25)

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)

C)

B)

D)

26)

16


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)

C)

B)

D)

27)

17


What is the probability that a dart will land on trapezoid 3 or triangle 10?

A)

C)

B)

D)

28)

18


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)

C)

B)

D)

29)

Section 5

Section 4

Section 3

Section 2

19


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)

C)

B)

D)

30)

Sections 3 and 4

Sections 4 and 5

Sections 5 and 6

Sections 7 and 8

20


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)

C)

B)

D)

31)

Sections 6, 7, and 8




21


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)

C)

B)

D)

32)

Sections 3, 4, 5, and 6




22


Which figure represents both linear functions that make up the equation below?

x + 3 = x - 2

A)

C)

B)

D)

33)

Figure 1

Figure 2

Figure 3

Figure 4

23


Which figure represents both linear functions that make up the equation below?

1 + 0.5x = 2x - 1

A)

C)

B)

D)

34)

Figure 1

Figure 2

Figure 3

Figure 4

24


A)

C)

B)

D)

35)

25


Which figure represents the graph of f(x) = sin(x)?

A)

C)

B)

D)

36)

Figure 1

Figure 2

Figure 3

Figure 4

26


Which function corresponds to the graph below?

A)

C)

B)

D)

37)

27


Which function is represented by the graph below?

A)

C)

B)

D)

38)

28


Which function is represented by the graph below?

A)

C)

B)

D)

39)

Which of these functions has the shortest period?

A)

C)

B)

D)

40)

29


Which of these functions has the greatest period?

A)

C)

B)

D)

41)

Which of these functions has the lowest midline?

A)

C)

B)

D)

42)

Which of these functions has the highest midline?

A)

C)

B)

D)

43)

30


Collin wants to represent 256p as a cube. Which expression should he use?

A)

C)

B)

D)

44)

31

2014-15 honors alg ii sem2 module 4 test review read each question carefully. · 2015-05-07 ·...

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