Quiz about Quarter 3 Test Review

Question 1

The school administration is planning to gather feedback on the cleanliness of the school restrooms. Which of the following survey questions is most likely to provide accurate insights?

Accepted Answer

Are the restroom facilities well-maintained?

Answer

Is the lighting in the restrooms sufficient?

Answer

Are there enough soap dispensers available?

Answer

Are the restroom signs clear and easy to understand?

Question 2

The school library is interested in improving its book collection based on student preferences. Which of the following survey questions is most likely to provide helpful insights?

Accepted Answer

Should more e-books be added to the library catalog?

Answer

Are the library hours convenient for you?

Answer

Is the seating arrangement in the library comfortable?

Answer

Are the study rooms in the library adequately equipped?

Question 3

The art department is considering updating the art supplies available for students. Which of the following survey questions is most likely to provide valuable input?

Accepted Answer

Are the art materials of good quality?

Answer

Should more art workshops be organized throughout the year?

Answer

Is the art room well-lit and spacious?

Answer

Are the art tables and chairs comfortable for long art sessions?

Question 4

The technology department is looking to enhance the computer software available for student use. Which of the following survey questions is most likely to gather insightful feedback?

Accepted Answer

Should more educational software programs be installed?

Answer

Are the computers in good working condition?

Answer

Is the internet connection reliable in the computer lab?

Answer

Are the computer monitors easy to adjust for optimal viewing?

Question 5

Which of the following describes a property of a normal distribution?

Accepted Answer

The total area of under the curve is 1.

Answer

A normal curve is distributed asymmetrically about the mean.

Answer

The mean, median, and mode of a normal distribution are not equal.

Answer

In a normal distribution, most of the population is less than the mean.

Question 6

Which of the following describes a property of a normal distribution?

Accepted Answer

A normal curve is distributed symmetrically about the mean.

Answer

The total area of under the curve is 10.

Answer

The mean, median, and mode of a normal distribution are not equal.

Answer

In a normal distribution, most of the population is less than the mean.

Question 7

Which of the following describes a property of a normal distribution?

Accepted Answer

The mean, median, and mode of a normal distribution are equal.

Answer

The total area of under the curve is 100.

Answer

A normal curve is distributed asymmetrically about the mean.

Answer

In a normal distribution, most of the population is less than the mode.

Question 8

Which of the following describes a property of a normal distribution?

Accepted Answer

A normal curve is distributed symmetrically about the mean.

Answer

The total area of under the curve is 0.1.

Answer

The mean, median, and mode of a normal distribution are not equal.

Answer

In a normal distribution, most of the population is less than the mode.

Question 9

Carolina conducted a survey among students to gather data on their favorite genres of books. She intends to create a bar graph to represent the results. What should each bar in the graph represent?

Accepted Answer

One book genre

Answer

The favorite book genre for each student

Answer

One student

Answer

The total number of book genres

Question 10

Xavier conducted a survey to collect data on the number of hours students spend studying each week. He plans to create a dot plot to represent the study hours. What should each dot on the dot plot represent?

Accepted Answer

One student

Answer

The number of hours spent studying by each student

Answer

The total number of study hours

Answer

One specific number of study hours

Question 11

Samantha surveyed her classmates to determine their favorite ice cream flavors. She intends to create a bar graph to display the results. What should each bar in the graph represent?

Accepted Answer

One specific ice cream flavor

Answer

The favorite ice cream flavor for each classmate

Answer

One student

Answer

The total number of ice cream flavors

Question 12

The school nurse collected data on the heights of students in a specific grade level. She plans to create a histogram to display the height distribution. What does the height of each bar in the histogram represent?

Accepted Answer

The frequency of students in that height range

Answer

The average height of students in the grade level

Answer

The total number of students in the school

Answer

The tallest student's height

Question 13

What is the value of x in the equation?

$$\frac{x}{x+2}=\frac{4}{5}$$

Accepted Answer

x = 8

Answer

x = 4

Answer

x = 6

Answer

x = 5

Question 14

What is the value of x in the equation?

$$\frac{2x}{2x+3}=\frac{4}{5}$$

Accepted Answer

x = 6

Answer

x = 1/3

Answer

x = 2

Answer

x = -6

Question 15

What is the value of x in the equation?

$$\frac{x}{4x+3}=\frac{2}{3}$$

Accepted Answer

x = -6/5

Answer

x = 3/2

Answer

x = 1/2

Answer

x = 5/4

Question 16

What is the value of x in the equation?

$$\frac{3x}{2x+5}=\frac{1}{4}$$

Accepted Answer

x = 1/2

Answer

x = -10

Answer

x = 0

Answer

x = -5

Question 17

A rational function is given below. What are the asymptotes of the graph of f(x)?

$$f\left(x\right)=\frac{x^2-25}{x^2+11x+30}$$

Accepted Answer

y = 1 and x = -6

Answer

y = 1 and x = -2

Answer

y = 2 and x = 1

Answer

y = -6 and x = -1

Question 18

A rational function is given below. What are the asymptotes of the graph of f(x)?

$$f\left(x\right)=\frac{x^2-49}{x^2+9x+20}$$

Accepted Answer

y = 1, x = -4, and x = -5

Answer

y = 1, x = 4, and x = 5

Answer

y = -4, y = 5, and x = 1

Answer

y = -4, x = 1, and x = -5

Question 19

A rational function is given below. What are the asymptotes of the graph of f(x)?

$$f\left(x\right)=\frac{x^2-64}{x^2-10x+16}$$

Accepted Answer

y = 1 and x = 2

Answer

y = -2 and x = 1

Answer

y = 1 and x = 8

Answer

y = -2 and x = -8

Question 20

A rational function is given below. What are the asymptotes of the graph of f(x)?

$$f\left(x\right)=\frac{2x^2+1}{x^2+3x-10}$$

Accepted Answer

y = 2, x = -4, and x = -5

Answer

y = 1/2, x = -4, and x = 5

Answer

y = -4, x = 2, and x = -5

Answer

y = 2, x = 4, and x = 5

Question 21

Simplify the expression completely.

$$\sqrt[]{2}\left(6-\sqrt[]{8}\right)$$

Accepted Answer

$$6\sqrt[]{2}-4$$

Answer

$$2\sqrt[]{3}-4$$

Answer

$$2\sqrt[]{6}-\sqrt[]{16}$$

Answer

$$\sqrt[]{8}-\sqrt[]{10}$$

Question 22

Simplify the expression completely.

$$\sqrt[]{3}\left(\sqrt[]{4}-2\sqrt[]{6}\right)$$

Accepted Answer

$$2\sqrt[]{3}-6\sqrt[]{2}$$

Answer

$$\sqrt[]{7}-2\sqrt[]{9}$$

Answer

$$\sqrt[]{7}-6$$

Answer

$$\sqrt[]{12}-5\sqrt[]{2}$$

Question 23

Simplify the expression completely.

$$\sqrt[]{4}\left(\sqrt[]{9}+\sqrt[]{3}\right)$$

Accepted Answer

$$6+2\sqrt[]{3}$$

Answer

$$\sqrt[]{36}+\sqrt[]{12}$$

Answer

$$\sqrt[]{48}$$

Answer

$$6+\sqrt[]{12}$$

Question 24

Simplify the expression completely.

$$\sqrt[]{6}\left(2\sqrt[]{2}-\sqrt[]{6}\right)$$

Accepted Answer

$$4\sqrt[]{3}-6$$

Answer

$$12\sqrt[]{2}-6$$

Answer

$$2\sqrt[]{12}-\sqrt[]{36}$$

Answer

$$2\sqrt[]{3}-\sqrt[]{36}$$

Question 25

Which expression is equivalent?

$$x^{\frac{2}{3}}$$

Accepted Answer

$$\sqrt[3]{x^2}$$

Answer

$$\sqrt[2]{x^3}$$

Answer

$$\left(x^2\right)^3$$

Answer

$$x^{\frac{3}{2}}$$

Question 26

Which expression is equivalent?

$$x^{\frac{3}{5}}$$

Accepted Answer

$$\sqrt[5]{x^3}$$

Answer

$$\sqrt[3]{x^5}$$

Answer

$$\left(x^3\right)^5$$

Answer

$$3\left(x^5\right)$$

Question 27

Which expression is equivalent?

$$x^{\frac{4}{7}}$$

Accepted Answer

$$\sqrt[7]{x^4}$$

Answer

$$x^{\frac{7}{4}}$$

Answer

$$\left(x^4\right)^7$$

Answer

$$\sqrt[4]{x^7}$$

Question 28

Which expression is equivalent?

$$x^{\frac{3}{2}}$$

Accepted Answer

$$\sqrt[]{x^3}$$

Answer

$$\sqrt[3]{x^2}$$

Answer

$$x^{\frac{2}{3}}$$

Answer

$$2\left(x^3\right)$$

Question 29

Which expression is equivalent?

$$x^{\frac{1}{3}}\cdot x^{\frac{1}{2}}$$

Accepted Answer

$$\sqrt[6]{x}$$

Answer

$$\sqrt[5]{x}$$

Answer

$$x^{\frac{1}{5}}$$

Answer

$$x^6$$

Question 30

Which expression is equivalent?

$$x^{\frac{2}{3}}\cdot x^{\frac{1}{4}}$$

Accepted Answer

$$\sqrt[6]{x}$$

Answer

$$x^6$$

Answer

$$\sqrt[7]{x}$$

Answer

$$x^{\frac{3}{7}}$$

Question 31

Which expression is equivalent?

$$x^{\frac{1}{4}}\cdot x^{\frac{3}{4}}$$

Accepted Answer

$$\sqrt[16]{x^3}$$

Answer

$$\sqrt[3]{x^{16}}$$

Answer

$$x^{\frac{4}{8}}$$

Answer

$$\sqrt[]{x}$$

Question 32

Which expression is equivalent?

$$x^{\frac{1}{5}}\cdot x^{\frac{2}{3}}$$

Accepted Answer

$$\sqrt[15]{x^2}$$

Answer

$$\sqrt[2]{x^{15}}$$

Answer

$$x^{\frac{15}{2}}$$

Answer

$$\sqrt[8]{x^3}$$

Question 33

Look at the graph shown in the figure. Which function corresponds to this graph?

Accepted Answer

$$f\left(x\right)=\sqrt[]{x}+3$$

Answer

$$f\left(x\right)=\sqrt[]{x}-3$$

Answer

$$f\left(x\right)=\sqrt[]{x+3}$$

Answer

$$f\left(x\right)=\sqrt[]{x-3}$$

Question 34

Look at the graph shown in the figure. Which function corresponds to this graph?

Accepted Answer

$$f\left(x\right)=\sqrt[]{x}-2$$

Answer

$$f\left(x\right)=\sqrt[]{x}+2$$

Answer

$$f\left(x\right)=\sqrt[]{x+2}$$

Answer

$$f\left(x\right)=\sqrt[]{x-2}$$

Question 35

Look at the graph shown in the figure. Which function corresponds to this graph?

Accepted Answer

$$f\left(x\right)=\left(x+4\right)^{\frac{1}{2}}$$

Answer

$$f\left(x\right)=x^{\frac{1}{2}}+4$$

Answer

$$f\left(x\right)=x^{\frac{1}{2}}-4$$

Answer

$$f\left(x\right)=\left(x-4\right)^{\frac{1}{2}}$$

Question 36

Look at the graph shown in the figure. Which function corresponds to this graph?

Accepted Answer

$$f\left(x\right)=\left(x-5\right)^{\frac{1}{2}}$$

Answer

$$f\left(x\right)=x^{\frac{1}{2}}+5$$

Answer

$$f\left(x\right)=x^{\frac{1}{2}}-5$$

Answer

$$f\left(x\right)=\left(x+5\right)^{\frac{1}{2}}$$

Question 37

The table shows the results of a survey of 160 students on whether they like skateboards and snowmobiles. Which statement is supported by the data?

Accepted Answer

More people like skateboards than those who like snowmobiles.

Answer

More people do not like skateboards than like skateboards.

Answer

Less people like skateboards and like snowmobiles compare to people who do not like skateboards and do not like snowmobiles.

Answer

There are less people that like snowmobiles compared to those that do not like snowmobiles.

Question 38

The table shows what type of entertainment students prefer. Which statement is supported by the data?

Accepted Answer

Less men were surveyed than women.

Answer

More women like sports than men like sports.

Answer

A larger percentage of men were surveyed compare to women.

Answer

More people like movies than dance.

Question 39

The table shows the results of a survey about students favorite ice cream flavor. Which statement is supported by the data?

Accepted Answer

More juniors like chocolate ice cream than seniors who like strawberry ice cream.

Answer

More juniors than seniors were surveyed.

Answer

A higher percentage of students prefer vanilla over chocolate ice cream.

Answer

More seniors liked chocolate ice cream than juniors.

Question 40

The table shows the survey results of 315 student's favorite subject. Which statement is supported by the data?

Accepted Answer

A higher percentage of boys prefer Math than girls who like English.

Answer

More girls than boys were surveyed.

Answer

More students like English than Science.

Answer

Math is the most popular subject.

Question 41

What is the mean of the given data?

12, 14, 16, 17, 20, 24, 27, 30

Accepted Answer

20

Answer

18.5

Answer

6.4

Answer

22.5

Question 42

What is the mean of the probability for the number of goals?

Accepted Answer

0.2

Answer

0.18

Answer

0.25

Answer

0.205

Question 43

What is the solution of the equation below?

$$\frac{3x}{x+2}=1-\frac{4}{x+2}$$

Accepted Answer

x = -1

Answer

x = 1

Answer

x = 0

Answer

x = 3

Question 44

What is the solution of the equation below?

$$\frac{4x}{x+4}=1-\frac{4}{x+4}$$

Accepted Answer

x = 0

Answer

x = -2

Answer

x = 4

Answer

x = 1

Question 45

What is the solution of the equation below?

$$\frac{4x}{x+5}=1-\frac{4}{x+5}$$

Accepted Answer

x = 1/3

Answer

x = -3

Answer

x = 3/2

Answer

x = -5

Question 46

What is the solution of the equation below?

$$\frac{2x}{x+5}=1-\frac{6}{x+5}$$

Accepted Answer

x = -1

Answer

x = 0

Answer

x = 10

Answer

x = -5

Question 47

Find the sum.

$$\frac{1}{x+1}+\frac{1}{x+2}$$

Accepted Answer

$$\frac{2x+3}{\left(x+1\right)\left(x+2\right)}$$

Answer

$$\frac{2}{\left(x+1\right)\left(x+2\right)}$$

Answer

$$\frac{2}{2x+3}$$

Answer

$$-\frac{1}{\left(x+1\right)\left(x+2\right)}$$

Question 48

Find the difference.

$$\frac{1}{x+2}-\frac{2}{x+1}$$

Accepted Answer

$$\frac{-x-3}{\left(x+2\right)\left(x+1\right)}$$

Answer

$$-1$$

Answer

$$\frac{3x+5}{\left(x+2\right)\left(x+1\right)}$$

Answer

$$-x-3$$

Question 49

Find the sum.

$$\frac{2}{x+3}+\frac{3}{x+2}$$

Accepted Answer

$$\frac{5x+13}{\left(x+3\right)\left(x+2\right)}$$

Answer

$$\frac{5}{2x+5}$$

Answer

$$5x+13$$

Answer

$$\frac{-x-5}{\left(x+3\right)\left(x+2\right)}$$

Question 50

Find the difference.

$$\frac{3}{x+4}-\frac{1}{x-2}$$

Accepted Answer

$$\frac{2x-10}{\left(x+4\right)\left(x-2\right)}$$

Answer

$$\frac{2}{6}$$

Answer

$$\frac{2}{\left(x-2\right)\left(x+4\right)}$$

Answer

$$\frac{4x+10}{\left(x-2\right)\left(x+4\right)}$$

Question 51

What is the value of x?

$$\frac{x}{x+1}+\frac{3}{x+2}=\frac{9}{x^2+3x+2}$$

Accepted Answer

x = 1 or x = -6

Answer

x = 0 or x = 1

Answer

x = 2 or x = 3

Answer

x = -3 or x = -4

Question 52

What is the value of x?

$$\frac{x}{x+1}-\frac{3}{x+2}=\frac{9}{x^2+3x+2}$$

Accepted Answer

x = -3 or x = 4

Answer

x = 0 or x = 1

Answer

x = 2 or x = 3

Answer

x = -1 or x = -2

Question 53

What is the value of x?

$$\frac{x}{x+2}+\frac{3}{x+3}=\frac{1}{x^2+5x+6}$$

Accepted Answer

x = -1 or x = -5

Answer

x = -3 or x = 0

Answer

x = 1 or x = 5

Answer

x = 0 or x = 3

Question 54

What is the value of x?

$$\frac{x}{x+2}-\frac{3}{x+3}=\frac{3}{x^2+5x+6}$$

Accepted Answer

x = 3

Answer

x = 0

Answer

x = -3 or x = -2

Answer

x = -5 or x = -6

Question 55

Which of the following is equivalent?

$$\frac{\left(x+1\right)\left(x+2\right)\left(x+3\right)}{\left(x-3\right)\left(x+2\right)\left(x+1\right)}$$

Accepted Answer

$$\frac{x+3}{x-3}$$

Answer

$$\frac{x+1}{x-3}$$

Answer

$$\frac{x+2}{x-3}$$

Answer

$$\frac{x+3}{x+2}$$

Question 56

Which of the following is equivalent?

$$\frac{\left(x-1\right)\left(x+2\right)\left(x-3\right)}{\left(x+1\right)\left(x-2\right)\left(x-3\right)}$$

Accepted Answer

$$\frac{\left(x-1\right)\left(x+2\right)}{\left(x+1\right)\left(x-2\right)}$$

Answer

$$\frac{x+2}{x-2}$$

Answer

$$\frac{x-1}{x+1}$$

Answer

1

Question 57

Which expression is equivalent?

$$\frac{\left(x+2\right)\left(x-2\right)\left(x+3\right)}{\left(x-3\right)\left(x+2\right)\left(x-2\right)}$$

Accepted Answer

$$\frac{x+3}{x-3}$$

Answer

$$\frac{\left(x+2\right)\left(x-2\right)}{\left(x-3\right)\left(x+2\right)}$$

Answer

$$\frac{\left(x+2\right)\left(x+3\right)}{\left(x-2\right)\left(x-3\right)}$$

Answer

$$\frac{x-2}{x+2}$$

Question 58

Which expression is equivalent?

$$\frac{\left(x-1\right)\left(x+1\right)\left(x-1\right)}{\left(x-1\right)\left(x+1\right)\left(x+1\right)}$$

Accepted Answer

$$\frac{x-1}{x+1}$$

Answer

$$\frac{x+1}{x-1}$$

Answer

$$\frac{x-1}{x-1}$$

Answer

$$\left(x+1\right)\left(x-1\right)$$

Question 59

Rewrite the following expression in simplest form.

$$\frac{\left(x+1\right)\left(x^2+3x+2\right)}{x^3+x^2-x-1}$$

Accepted Answer

$$\frac{x+2}{x-1}$$

Answer

$$\frac{x+1}{\left(x+2\right)\left(x-1\right)}$$

Answer

$$\frac{\left(x+2\right)\left(x-1\right)}{x+1}$$

Answer

$$\frac{x+1}{x-1}$$

Question 60

Rewrite the following expression in simplest form.

$$\frac{\left(x+1\right)\left(x^2+5x+6\right)}{x^3+3x^2+2x+6}$$

Accepted Answer

$$\frac{\left(x+1\right)\left(x+2\right)}{x^2+2}$$

Answer

$$x+1$$

Answer

$$\frac{1}{x+1}$$

Answer

$$\frac{x+2}{\left(x+1\right)\left(x+2\right)}$$

Question 61

Rewrite the following expression in simplest form.

$$\frac{\left(x+5\right)\left(x+6\right)}{x^3+5x^2+5x+25}$$

Accepted Answer

$$\frac{x+6}{x^2+5}$$

Answer

$$\frac{x^2+5}{x+6}$$

Answer

$$\left(x+5\right)\left(x+6\right)$$

Answer

$$\frac{x+5}{x+6}$$

Question 62

Rewrite the following expression in simplest form.

$$\frac{x^2+8x+12}{x^2+x-30}$$

Accepted Answer

$$\frac{x+2}{x-5}$$

Answer

$$\frac{x+5}{x-5}$$

Answer

$$\frac{x+6}{x-5}$$

Answer

$$\frac{x+2}{x+6}$$

Question 63

Two functions are shown below. What is the product of these two functions?

$$f\left(x\right)=\frac{x^2-16}{x^2+7x+12}$$ and $$f\left(x\right)=\frac{3x+9}{x+1}$$

Accepted Answer

$$\frac{3\left(x-4\right)}{x+1}$$

Answer

$$\frac{3x-4}{x+1}$$

Answer

$$\frac{\left(x+4\right)\left(x-4\right)}{\left(x+1\right)}$$

Answer

$$\frac{\left(x-4\right)}{\left(x+1\right)\left(x+4\right)}$$

Question 64

Two functions are shown below. What is the product of these two functions?

$$f\left(x\right)=\frac{x^2-9}{x^2+6x+9}$$ and $$f\left(x\right)=\frac{-2x-6}{x-3}$$

Accepted Answer

$$-2$$

Answer

$$\frac{-2x-6}{x+3}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{x+3}{x-3}$$

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