Free Printable Unit 10 Review

1.

Hector surveyed 500 people and asked them how far they drive to work and what the last digit of their phone number is. He used the results to make a scatter plot. What type of association should he expect to see in the scatter plot?

a)

Positive Association

b)

Negative Association

c)

No Association

2.

Jules conducted a survey and asked 100 people how many years of education they have and what their annual income is. She used the results to make a scatter plot. What type of association should he expect to see in the scatter plot?

a)

Positive Association

b)

Negative Association

c)

No Association

3.

Which best describes the association shown in the scatter plot?

a)

Positive Association

b)

Negative Association

c)

No Association

4.

Which best describes the association shown in the scatter plot?

a)

Positive Association

b)

Negative Association

c)

No Association

5.

Which best describes the association shown in the scatter plot?

a)

Positive Association

b)

Negative Association

c)

No Association

6.

Which best describes the association shown in the scatter plot?

a)

Positive Association

b)

Negative Association

c)

No Association

7.

Which scatter plot could be used to show the relationship between a person's age and a person's height?

a)

#3

b)

#4

c)

#5

d)

#6

8.

Which best describes the association shown in the scatter plot?

a)

Negative and linear

b)

Negative and non-linear

c)

Positive and linear

d)

Positive and non-linear

9.

Which would NOT likely be the variables represented on the scatter plot?

a)

The number of miles driven and the gallons of gas used.

b)

The number of students in a school and the number of unused lockers.

c)

The number of items ordered at a restaurant and the cost of the bill.

d)

The number of customers in a store and the length of the wait at the register.

10.

Which scatter plot appears to be linear?

a)

Scatter Plot A

b)

Scatter Plot B

11.

Describe the association for the graph.

a)

Linear and Positive

b)

Linear and Negative

c)

Non-Linear and Negative

d)

Non-Linear and Positive

e)

Non-Linear and No Association

12.

Describe the association for the graph.

a)

Linear and Positive

b)

Linear and Negative

c)

Non-Linear and Positive

d)

Non-Linear and Negative

e)

Non-Linear and No Association

13.

What type of correlation does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

14.

Which scatter plot shows a negative relationship?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

15.

Which scatter plot shows no relationship?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

16.

Which best describes the form of this scatterplot?

a)

linear

b)

nonlinear

c)

scattered

d)

no correlation

17.

The police department tracked the number of ticket writers and number of tickets issued for the past 8 weeks. The scatter plot shows the results. Which statement is true?

a)

More ticket writers results in fewer tickets issued.

b)

There were 50 tickets issued every week.

c)

When there are 10 ticket writers, there will be 800 tickets issued.

d)

More ticket writers results in more tickets issued.

18.

The scatter plot shows the number coffee shops in different cities and the number of violent crimes. Which of the following is NOT true?

a)

A) As the number of coffee shops increase, violent crimes appears to increase.

b)

B) The line of best fit (regression line) shows a positive correlation

c)

C) The data has a positive correlation coefficient

d)

D) An increase in coffee shops causes an increase in violent crimes

19.

Which scatterplot does NOT suggest a linear relationship between x and y?

a)

b)

c)

d)

20.

Find the slope (m)

a)

m = 3

b)

m = 1/3

c)

m = -2

d)

m = 2

21.

Find the slope (m)

a)

m = 4

b)

m = 0

c)

m = undefined

d)

m = 1

22.

Find the slope (m)

a)

m = 5

b)

m = 4.5

c)

m = 0

d)

m = undefined

23.

Find the slope (m)

a)

m = -4

b)

m = $\frac{2}{3}$

c)

m = $\frac{3}{2}$

d)

m = $-\frac{2}{3}$

e)

m = $-\frac{3}{2}$

24.

If Gold's Gym is looking to buy 30 TVs, how much will each one cost?

a)

400

b)

750

c)

1250

d)

0

25.

If Joe worked 30 hours, how much is he expected to earn?

a)

$600

b)

$200

c)

$1000

d)

$800

26.

Marni recorded the cost of different weights of apples and made a scatter plot of her data. Based on the data, what is the best prediction of weight for apples that cost $18?

a)

11 pounds

b)

9 pounds

c)

7.5 pounds

d)

10 pounds

27.

Which of the following best models a linear function fitted to the data in the scatter plot?

a)

b)

c)

d)

28.

Which is the outlier?

a)

(30, 43)

b)

(30, 21)

c)

(0, 35)

d)

(20, 12)

29.

The two-way frequency table shows data on having a curfew and having assigned chores at home.

Which of the following statements is true?

a)

The majority of students have a curfew.

b)

If a student has a curfew, it is more likely that they have chores.

c)

More than half the students do not have chores and do not have a curfew.

d)

If a student does not have chores, it is more likely that they have a curfew.

30.

The two way relative frequency table shows data on nationality and eye color. Based on the table which statement must be true?

a)

There are the same number of English people and Italian people with other eye colors.

b)

Italians are more likely to have brown or hazel eyes than Germans are.

c)

A German person is more likely to have brown or hazel eyes than to have blue or green eyes.

d)

A person with brown or hazel eyes is least likely to be German.

31.

The test results of 66 students were compared to whether the students completed a provided review sheet.

Is there an association between completing the review sheet and passing the test?

a)

Yes, it was more likely that students who failed, completed the review sheet

b)

Yes, it was more likely that students who passed, completed the review sheet

c)

No, there is no association

32.

Is there an association between grade level and whether or not a student has a driver's license?

a)

Yes, juniors are more likely to have a license than seniors.

b)

Yes, seniors are more likely to have a license than juniors.

c)

No, there is no association between grade level and having a license.

33.

Based on the two way relative frequency table, is there an association between gender and whether or not a person prefers Hip Hop or Country?

a)

Yes, males are more likely to listen to hip hop than females.

b)

Yes, females are more likely to listen to hip hop than males.

c)

No, there is no association between gender and music preference.

34.

This graph has...

a)

Clusters

b)

outliers

35.

This graph has...

a)

A cluster and an outlier

b)

An outlier

c)

A gap and an outlier

d)

A cluster

36.

Identify any clusters.

a)

Cluster at x = 14

b)

Cluster at x = 18

c)

Cluster at x = 24

d)

There aren't any noteworthy clusters in this graph.

37.

What are the coordinates of the outlier?

a)

(1,9)

b)

(9,1)

c)

(2,2)

d)

y=x

38.

Looking at the graph showing a line of best fit, what is the correlation shown?

a)

Length of life is constant

b)

Length of life increases as amount of sunlight increases

c)

Length of life increases as amount of sunlight decreases

d)

Length of life decreases as amount of sunlight increases

39.

Is this line an accurate line estimate of best fit for the data?

a)

Yes

b)

No

40.

Is this line an accurate line estimate of best fit for the data?

a)

Yes

b)

No

41.

Students in a group of chess teams submitted data about hours of team practice and the number of matches the team won. The graph shows the results of the data. Based on the linear regressions equation y = 3.14x + 3.52, if a team practices 4.5 hours per week next year, which is the best prediction of the number of chess matches a team could expect to win?

a)

about 24

b)

about 12

c)

about 8

d)

about 18

42.

Based on the trend line, about how many guests should be expected if the temperature is around 80 degrees?

a)

8,300

b)

7,300

c)

8

d)

9,300

43.

Write the equation of the trend line.

a)

y = 1x

b)

y = 1x + 100

c)

y = 20x

d)

y = 20x + 100

44.

Which of the following lines represents the line of best fit for the scatter plot?

a)

A

b)

B

c)

C

d)

D

45.

What is the equation of the line of best fit?

a)

y= 2x

b)

y=3x+7

c)

y= $\frac{1}{2}x\ +3$

d)

y= $-\frac{1}{2}x\ -3$

46.

Which of the following could be a possible line of best fit for the data?

a)

y = -5/2x + 20

b)

y = -x + 19

c)

y = x + 20

d)

y = 2/3x + 15

47.

What is the equation of the line of best fit?

a)

y = 3/2x

b)

y = 30x

c)

y = 30x + 300

d)

y = 3/2x + 300

48.

Suppose data related to the AVERAGE Temperature outside (T) and the number of winter Coats (C) sold at a store is collected and graphed.

The LINE OF BEST FIT has the equation C = -3T + 150.

Use this equation to predict the number of coats sold when the average temperature outside is 20°.

a)

40

b)

75

c)

90

d)

115

49.

Suppose a LINE OF BEST FIT passes through the points (4, 8) and (6, 2). The SLOPE of this line is . . .?

a)

-3

b)

-6

c)

4

d)

2

50.

Students in a group of chess teams submitted data about hours of team practice and the number of matches the team won. The graph shows the results of the data. Based on the linear regressions equation y = 3.14x + 3.52, if a team practices 4.5 hours per week next year, which is the best prediction of the number of chess matches a team could expect to win?

a)

about 24

b)

about 12

c)

about 8

d)

about 18

51.

The equation of the trend line is y= 1/2x +1
How many laps can a bicycle make around the park in 23 minutes?

a)

44 laps

b)

12 1/2 laps

c)

23 laps

52.

Using the model 𝘺 = 𝟦𝟩.𝟪𝟩𝘹 + 𝟣𝟥𝟦𝟧.𝟢𝟦, where x is the number of years after 1975 and y is in thousands of miles, estimate the number of miles people flew on the airline in 2008.

a)

$x=1425.91$

b)

$x=5375.91$

c)

$x=95888.29$

d)

$x=2924.75$

e)

$x=97468$

53.

What is the line of best fit?

a)

y = 5/3x + 375

b)

y = 1/3x + 475

c)

y = 5/3x + 3

d)

y = 1/3x + 375

54.

What is the equation of the line of best fit?

a)

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

b)

y= $\frac{1}{2}x\ +6$

c)

y= 6x + 2

d)

y = -2x +6

55.

The linear model to represent the distance (in miles) traveled given the time (in hours) driving is

m=-1.79+61.93h

. Predict how far a person will travel driving 10 hours.

a)

617.51 miles

b)

621.09 miles

c)

100 miles

d)

0.19 miles

56.

What number should go in the blue box?

a)

21

b)

135

c)

19

d)

22

57.

How many total have no cell phone?

a)

13

b)

9

c)

22

d)

100

58.

How many total people were surveyed?

a)

78

b)

22

c)

70

d)

100

59.

35 children were asked if they prefer cats or dogs. The data is shown in the table. How many girls prefer dogs?

a)

Don't have enough information

b)

2

c)

23

d)

29

60.

Which sport is least popular?

a)

netball

b)

rugby

c)

cricket

d)

rugby and netball

61.

How many Bachelor's Degrees were given?

a)

46

b)

51

c)

97

d)

5

62.

How many Males have Masters/Doctoral Degree?

a)

16

b)

3

c)

46

d)

62

63.

How many female students are taking physics?

a)

14

b)

19

c)

33

d)

24

64.

This table shows the number of female and male students in each science class. How many students are taking biology?

a)

18

b)

8

c)

80

d)

26

65.

How many male students were surveyed?

a)

23

b)

47

c)

80

d)

33

66.

The scatter plot shows the total amount of homeruns made by the Tampa Bay Rays in regular seasons from 2012 to 2021. The point (4, 216) is on the scatter plot. Interpret the meaning of this point in context.

a)

The Tampa Bay Rays made 216 homeruns in the 4th game of the season.

b)

The Tampa Bay Rays made 216 homeruns in the 4th month of the year.

c)

The Tampa Bay Rays made 216 homeruns in the 4th year of the given period.

d)

The Tampa Bay Rays made 2016 homeruns in the 4th inning of a game.

67.

Suppose the line shown is fit to the data. The equation of the line of fit is y = 1.8x + 165.8. What does the slope represent in this context?

a)

The number of homeruns increases by an average of 1.8 for each year since 2012

b)

The number of homeruns in 2012 for each increasing 1.8

c)

The slope represents the maximum value of y.

d)

The slope represents the minimum value of x.

68.

Suppose the line shown is fit to the data. The equation of the line of fit is y = 1.1x + 50.5. Interpret the meaning of the slope in context.

a)

The literacy rate increases by 1.1% for each additional 1 million internet users.

b)

The literacy rate increases by 50.5% for each additional 1 million internet users.

c)

The literacy rate decreases by 1.1% for each additional 1 million internet users.

d)

The literacy rate remains constant regardless of internet usage.

69.

The equation of the trend line
is y= 1/2x +1
How many laps can a bicycle
make around the park in
23 minutes?

a)

44 laps

b)

12 1/2 laps

c)

23 laps

70.

Which relationship is shown by this scatter plot?

a)

As the cost goes down, the number sold goes

down.

b)

As the cost goes up, the number sold goes

down.

c)

As the cost does down, the number sold

remains the same.

d)

There is no relationship between cost and the

number sold.

71.

The table shows the height of a tree for various years after it was planted. The line of best fit for the data is $y=0.96x+8.47$ . What does the slope represent?

a)

Every 8.47 years, the tree grows 1 foot.

b)

Every year, the tree grows 8.47 feet.

c)

Every 0.96 years, the tree grows 1 foot.

d)

Every year, the tree grows about 0.96 ft.

72.

The equation $y=1.3x+27$ models the month, x, and ticket sales, y (in thousands) of movie tickets sold from January to June for a theater. In the equation, x = 1 represents January. Identify and interpret the slope in the context of the situation.

a)

slope=1.3; The theater's sales increase by $1,000 every 1.3 months.

b)

slope=1.3; The theater's sales increasing by about $1,300 every month.

c)

slope=27; The theater's sales increasing by about $27,000 every month.

d)

slope=27; The theater's sales increase by $1,000 every 27 months.

73.

The equation $y=4.87x-37.67$ represents the lengths (feet), x, and costs(in thousands of dollars), y, of several sailboats. Interpret the slope in the context of the problem.

a)

The slope of 4.87 represents a total cost of $4,870 for any sailboat length.

b)

The slope of 4.87 indicates an increase of 4.87 feet of sailboat length for every $1000 increase in price.

c)

The slope of 4.87 indicates a decrease of $4,870 in cost for each additional foot of sailboat length.

d)

The slope of 4.87 represents an increase of $4,870 in cost for each additional foot of sailboat length.

74.

The scatter plot shows the number of minutes people had to wait (y) for service at a restaurant and the number of staff (x) available at the time. The line of best fit is y = -1.62x+18. Interpret the slope in this situation

a)

The staff members decrease 1.62 people per minute.

b)

The staff members increase 1.62 people per minute.

c)

The wait time decreases 1.62 minutes per staff member.

d)

The wait time increases 1.62 minutes per staff member.

75.

√675

a)

225√3

b)

15√5

c)

3√15

d)

15√3

76.

5√80

a)

20√5

b)

4√5

c)

5√20

d)

4√5

77.

Simplify:

10\sqrt{96}

a)

$40\sqrt{6}$

b)

$160\sqrt{6}$

c)

$96\sqrt{10}$

d)

$60\sqrt{16}$

78.

Simplify 9∛32

a)

9∛4

b)

2∛4

c)

18∛4

d)

9∛2

79.

Which is equivalent to ∛375 in simplest form?

a)

3∛5

b)

5∛25

c)

3∛125

d)

5∛3

80.

a)

A

b)

B

c)

C

d)

D

81.

a)

a

b)

b

c)

c

d)

d

82.

a)

A

b)

B

c)

C

d)

D

83.

Simplify and then subtract:

3√2 - 3√18

a)

-4√8

b)

4√9-6√3

c)

5√12

d)

-6√2

84.

$\sqrt{12}+5\sqrt{18}+2\sqrt{27}$

a)

$8\sqrt{3}+15\sqrt{2}$

b)

$8\sqrt{2}+15\sqrt{3}$

c)

$25\sqrt{2}$

85.

$2\sqrt{150}+3\sqrt{175}+4\sqrt{24}$

a)

$2\sqrt{6}+15\sqrt{7}$

b)

$18\sqrt{6}+15\sqrt{7}$

c)

$17\sqrt{13}$

86.

a)

A

b)

B

c)

C

d)

D

87.

√3 ( 4√5 + √12)

a)

4√15 + √36

b)

4√15 + 6

c)

12√5 + √40

d)

4√8 + √15

88.

Simplify: 2√40 - 3√10

a)

5√10

b)

√10

c)

-√30

89.

Simplify: $\sqrt[]{3}\left(2-\sqrt[]{15}\right)$

a)

$2\ \sqrt[]{3}-3\sqrt[]{5}$

b)

$-\sqrt[]{2}$

c)

$\sqrt[]{6}-\sqrt[]{45}$

d)

$-\sqrt[]{39}$

90.

$\sqrt{2}\left(4\sqrt{10}-6\sqrt{6}\right)$

a)

$8\sqrt{10}-6\sqrt{12}$

b)

$4\sqrt{12}-6\sqrt{8}$

c)

$4\sqrt{20}-6\sqrt{12}$

d)

$8\sqrt{5}-12\sqrt{3}$

91.

Simplify
$2\sqrt{6}\left(5\sqrt{3}+4\right)$

a)

$30\sqrt{2}+8\sqrt{6}$

b)

$38\sqrt{8}$

c)

$76\sqrt{2}$

d)

$2\sqrt{30}+6\sqrt{8}$

92.

15. Simplify

a)

$2a^2b^6$

b)

$\frac{1}{2a^2b^6}$

c)

$\frac{b^6}{2a^2}$

d)

$\frac{2b^6}{a^2}$

93.

Simplify the expression.
(2mp)³

a)

2mp³

b)

2m³p³

c)

6m³p³

d)

8m³p³

94.

a³b(ab)²=

a)

a⁵b³

b)

a⁶b⁴

c)

a²b²

d)

a⁹b⁶

95.

(2x⁴y⁵)(-3x²y⁷)

a)

6x⁶y¹²

b)

-1x⁶y^-2

c)

-6x²y²

d)

-6x⁶y¹²

96.

(3xy⁶)⁴

a)

81x⁴y²⁴

b)

3x⁴y²⁴

c)

3xy²⁴

d)

81xy²⁴

97.

(34x⁵y⁶z^-7)⁰

a)

34x⁵y⁶ / z⁷

b)

34x⁵y⁶ / x^-7

c)

0

d)

1

98.

a)

2a²b⁶

b)

1/2a²b⁶

c)

b⁶/2a²

d)

2b⁶/a²

99.

a)

A

b)

B

c)

C

d)

D

100.

a)

A

b)

B

c)

C

d)

D

101.

a)

A

b)

B

c)

C

d)

D

102.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = 1/3x - 1

b)

y = 1/4x -1

c)

y = -1/3x +1

d)

y = -1/4x + 1

103.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = 3x - 3

b)

y = 3x - 1

c)

y = -3x - 3

d)

y = -3x - 1

104.

What is the correct equation?

a)

x = 5

b)

y = 5

c)

x = - 5

d)

y = -5

105.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

x = 4

b)

y = 4

106.

What is the correct equation in
Slope-Intercept Form?
(y = mx +b)

a)

y = -1/3x + 3

b)

y = 1/3x - 3

c)

y = -1/3x - 3

d)

y = 1/3x + 3

107.

Which graph represents the equation $y=4x-1$ ?

a)

b)

c)

d)

108.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

109.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

110.

Graph. y = 2/3x - 3

a)

a

b)

b

c)

c

d)

d

111.

Which graph represents $y=-\frac{3}{2}x+4$

a)

b)

c)

d)

112.

#7 Which graph is correct for y = x - 4?

a)

A

b)

B

113.

#6 Which graph is correct for y = -2x +4?

a)

A

b)

B

Unit 10 Review

Total questions: 113

Worksheet time: 9hrs 25mins

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