Free Printable Keystone Algebra: Module 2 Practice

1.

Which statement about the relation is true?

a)

The relation is not a function of x because all functions are linear

b)

The relation is a function of x because values of x increase toward infinity

c)

The relation is a function of x because each value of y corresponds to one value of x

d)

The relation is not a function of x because more than one value of y may correspond to the same value of x

2.

What is the domain of this relation? {(2, 140), (5, 350), (14, 980)}

a)

{2, 5, 14}

b)

{140, 350, 980}

c)

{all whole numbers from 2 to 14}

d)

{all whole numbers from 140 to 980}

3.

At the beginning of a road trip, there are 14,000 miles on Denny's car. During the trip, Denny drives his car at an average speed of 55 miles per hour. Which graph best shows the total number of miles (y) on the car as a function of the number of hours (x) Denny drives at 55 miles per hour?

a)

b)

c)

d)

4.

Edwin drove 261 miles from city X to city Y in 4.5 hours. He continued driving at the same average speed and drove another 145 miles from city Y to city Z. What is the total amount of time Edwin spent driving from city X to city Z?

a)

4.9 hours

b)

6.2 hours

c)

7 hours

d)

9 hours

5.

The graph shows the relationship between the number of minutes (x) that have passed since an airplane began its descent and the height above ground (y), in feet, of the airplane. Based on the graph, how long after it starts its descent will the airplane reach a height of 3,000 feet?

a)

14 minutes

b)

16 minutes

c)

28 minutes

d)

32 minutes

6.

The graph on the coordinate grid shows the number of gallons of gas (g) remaining in the tank of Edward's truck based on the number of miles (m) he has driven it. Which equation describes the graph?

a)

b)

c)

d)

7.

The graph of a line is shown. What is the y-intercept of the line?

a)

b)

c)

d)

8.

Which equation describes the line of best fit of the scatter plot?

a)

y = 0.37x - 4

b)

y = 0.37x

c)

y = 2.7x - 4

d)

y = 2.7x

9.

The range of the weights, in pounds, of all the goats on a farm is 180. Which statement about the weights of the goats is MOST LIKELY true?

a)

The heaviest goat on the farm weighs 180 pounds.

b)

Exactly 50% of the goats on the farm weigh less than 90 pounds.

c)

Exactly 50% of the goats on the farm weigh within 180 pounds of each other.

d)

There is a goat on the farm that weighs 180 pounds more than another goat on the farm.

10.

The number of cookies sold at a bakery each day last week are: 264, 203, 318, 502, 341, 173, 299. Based on the data and the circle graph, how many more chocolate chip cookies than oatmeal cookies will MOST LIKELY be sold during one day next week?

a)

25

b)

75

c)

125

d)

275

11.

Kari asked 6 of her friends how many movies they watched during the summer. Kari determined the following measures about the number of movies watched by the 6 friends. Mean = 9, median = 8, range = 16. The 3 friends who watched the most movies over the summer watched 18, 15, and 12 movies. How many movies were watched by each of the other 3 friends?

a)

1, 4, 4

b)

2, 2, 5

c)

2, 3, 4

d)

2, 4, 4

12.

A clothing store employee opens a box containing 20 brown, 15 gray, 15 blue, and 10 white shirts. The employee randomly selects 3 shirts from the box to place on a store shelf. Which expression could be used to determine the probability that the employee selects 3 brown shirts?

a)

b)

c)

d)

13.

Kent listed the coordinates of all the light poles in his town, relative to the center of town. Kent notes that the poles located at the points (2, 6), (4, 10), (2, 8), and (1, 4) need repairs. Which pole should Kent remove from his list in order to have the remaining poles lie in a straight line?

a)

(2, 6)

b)

(4, 10)

c)

(2, 8)

d)

(1, 4)

14.

Listed below are the number of miles Omar rode on his bike on each of six consecutive days: 8, 2, 1, 7, 2, 6. How far does Omar need to ride his bike on day seven to have a mean distance of 5 miles?

a)

7

b)

9

c)

5

d)

10

15.

The set of ordered pairs shown below is a relation that is a function of x.

{(1, 3), (2, 4), (3, 5), (4, 6)}

Which ordered pair could be included in the set so that the relation remains a function of x?

a)

(0, 4)

b)

(1, 6)

c)

(3, 3)

d)

(4, 7)

16.

Based on the function shown in the table, what is the least number of lawns Aki will have to mow to buy the music player?

a)

22

b)

29

c)

30

d)

31

17.

a)

y = x – 12

b)

y = 2x + 5

c)

y = 4x – 9

d)

y = -4x + 13

18.

LaShawn earned $60.00 for working 8 hours this weekend. What is the total amount of money LaShawn would earn for working 34 hours at the same rate of pay?

a)

$255

b)

$272

c)

$315

d)

$453

19.

Which graph shows y as a function of x?

a)

A

b)

B

c)

C

d)

D

20.

a)

0

b)

3

c)

4

d)

5

21.

A pizza restaurant charges for pizzas and adds a delivery fee. The cost (c), in dollars, to have any number of pizzas (p) delivered to a home is described by the function c = 8p + 3. Which statement is true?

a)

The cost of 8 pizzas is $11.

b)

The cost of 3 pizzas is $14.

c)

Each pizza costs $8 and the delivery fee is $3.

d)

Each pizza costs $3 and the delivery fee is $8.

22.

a)

y = 2.5x + 5

b)

y = 3.75x + 2.5

c)

y = 4x + 1

d)

y = 5x

23.

Jeff’s restaurant sells hamburgers. The amount charged for a hamburger, h, is based on the cost for a plain hamburger plus an additional charge for each topping, t, as shown in the equation below.

h = 0.60t + 5

What does the number 0.60 represent in the equation?

a)

the number of toppings

b)

the cost of a plain hamburger

c)

the additional cost for each topping

d)

the cost of a hamburger with 1 topping

24.

a)

y = 0.5x – 1.5

b)

y = 0.5x + 3

c)

y = 2x – 1.5

d)

y = 2x + 3

25.

a)

y = 0.37x + 1.57

b)

y = 0.37x + 10.11

c)

y = 0.68x + 2.32

d)

y = 0.68x + 6.61

26.

The daily high temperatures in degrees Fahrenheit in Allentown, PA, for a period of 10 days are shown below.

76 80 89 96 98 100 98 91 89 82

Which statement correctly describes the data?

a)

The median value is 98.

b)

The interquartile range is 16.

c)

The lower quartile value is 76.

d)

The upper quartile value is 96

27.

Vy will ask another 80 students to select their favorite sport. Based on the information in the bar graph, how many more students of the next 80 asked will select basketball rather than football as their favorite sport?

a)

10

b)

20

c)

25

d)

30

28.

A number cube with sides labeled 1– 6 is rolled two times, and the sum of the numbers that end face up is calculated. What is the probability that the sum of the numbers is 3?

a)

$\frac{1}{18}$

b)

$\frac{1}{12}$

c)

$\frac{1}{9}$

d)

$\frac{1}{2}$

29.

Which statement about the relation is true?

a)

The relation is not a function of x because all functions are linear

b)

The relation is a function of x because values of x increase toward infinity

c)

The relation is a function of x because each value of y corresponds to one value of x

d)

The relation is not a function of x because more than one value of y may correspond to the same value of x

30.

What is the domain of this relation? {(2, 140), (5, 350), (14, 980)}

a)

{2, 5, 14}

b)

{140, 350, 980}

c)

{all whole numbers from 2 to 14}

d)

{all whole numbers from 140 to 980}

31.

At the beginning of a road trip, there are 14,000 miles on Denny's car. During the trip, Denny drives his car at an average speed of 55 miles per hour. Which graph best shows the total number of miles (y) on the car as a function of the number of hours (x) Denny drives at 55 miles per hour?

a)

b)

c)

d)

32.

Edwin drove 261 miles from city X to city Y in 4.5 hours. He continued driving at the same average speed and drove another 145 miles from city Y to city Z. What is the total amount of time Edwin spent driving from city X to city Z?

a)

4.9 hours

b)

6.2 hours

c)

7 hours

d)

9 hours

33.

The graph shows the relationship between the number of minutes (x) that have passed since an airplane began its descent and the height above ground (y), in feet, of the airplane. Based on the graph, how long after it starts its descent will the airplane reach a height of 3,000 feet?

a)

14 minutes

b)

16 minutes

c)

28 minutes

d)

32 minutes

34.

The graph on the coordinate grid shows the number of gallons of gas (g) remaining in the tank of Edward's truck based on the number of miles (m) he has driven it. Which equation describes the graph?

a)

b)

c)

d)

35.

The graph of a line is shown. What is the y-intercept of the line?

a)

b)

c)

d)

36.

Which equation describes the line of best fit of the scatter plot?

a)

y = 0.37x - 4

b)

y = 0.37x

c)

y = 2.7x - 4

d)

y = 2.7x

37.

The range of the weights, in pounds, of all the goats on a farm is 180. Which statement about the weights of the goats is MOST LIKELY true?

a)

The heaviest goat on the farm weighs 180 pounds.

b)

Exactly 50% of the goats on the farm weigh less than 90 pounds.

c)

Exactly 50% of the goats on the farm weigh within 180 pounds of each other.

d)

There is a goat on the farm that weighs 180 pounds more than another goat on the farm.

38.

The number of cookies sold at a bakery each day last week are: 264, 203, 318, 502, 341, 173, 299. Based on the data and the circle graph, how many more chocolate chip cookies than oatmeal cookies will MOST LIKELY be sold during one day next week?

a)

25

b)

75

c)

125

d)

275

39.

Kari asked 6 of her friends how many movies they watched during the summer. Kari determined the following measures about the number of movies watched by the 6 friends. Mean = 9, median = 8, range = 16. The 3 friends who watched the most movies over the summer watched 18, 15, and 12 movies. How many movies were watched by each of the other 3 friends?

a)

1, 4, 4

b)

2, 2, 5

c)

2, 3, 4

d)

2, 4, 4

40.

A clothing store employee opens a box containing 20 brown, 15 gray, 15 blue, and 10 white shirts. The employee randomly selects 3 shirts from the box to place on a store shelf. Which expression could be used to determine the probability that the employee selects 3 brown shirts?

a)

b)

c)

d)

41.

Kent listed the coordinates of all the light poles in his town, relative to the center of town. Kent notes that the poles located at the points (2, 6), (4, 10), (2, 8), and (1, 4) need repairs. Which pole should Kent remove from his list in order to have the remaining poles lie in a straight line?

a)

(2, 6)

b)

(4, 10)

c)

(2, 8)

d)

(1, 4)

42.

Listed below are the number of miles Omar rode on his bike on each of six consecutive days: 8, 2, 1, 7, 2, 6. How far does Omar need to ride his bike on day seven to have a mean distance of 5 miles?

a)

7

b)

9

c)

5

d)

10

43.

a)

the line segment with endpoints (-4, -2) and (-3, 2)

b)

the line segment with endpoints (-3, 2) and (3, 3)

c)

the line segment with endpoints (3, 3) and (4, -3)

d)

the line segment with endpoints (4, -3) and (-4, -2)

44.

a)

{(1, 5), (2, 2), (ˉ3, 15), (ˉ8, 12)}

b)

{(0.5, 1), (1.5, 4), (4.0, 11), (6.5, 14)}

c)

{(2, 1.1), (5, 2.2), (12, 3.3), (15, 4.4)}

d)

{(ˉ1, 6.5), (ˉ3, 1.5), (ˉ6, 4.0), (ˉ10, 0.5)}

45.

a)

y = 1.20x

b)

y = 2.00x

c)

y = 0.20x + 1

d)

y = 0.10x + 12

46.

a)

y = -2x + 12

b)

y = -2x + 24

c)

y =2x + 12

d)

y = 2x + 24

47.

a)

$14

b)

$20

c)

$21

d)

$27

48.

a)

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

b)

$y-1=\frac{3}{5}\left(x+3\right)$

c)

$y+1=\frac{3}{5}\left(x-3\right)$

d)

$y-1=\frac{3}{5}\left(x-3\right)$

49.

a)

$10.00

b)

$12.50

c)

$15.00

d)

$20.00

50.

a)

y = -14x + 250

b)

y = -9x + 116

c)

y = -8x + 227

d)

y = -4x + 189

51.

a)

42 and 66

b)

42 and 72

c)

60 and 72

d)

72 and 90

52.

a)

56

b)

126

c)

168

d)

224

53.

a)

1,134

b)

1,441

c)

1,866

d)

2,251

54.

a)

4

b)

5

c)

6

d)

7

55.

How much does Jerry charge a customer for 10 coins?

(a)

56.

A pattern in Shannon's phone charges is shown in the table. The pattern continues. Which graph represents the pattern in the charges?

a)

b)

c)

d)

57.

The set of ordered pairs shown below is a relation that is a function of x.

{(-5, 1), (-4, 1), (-3, 1), (-2, 1)}

Which ordered pairs could be included in the set so that the relation remains a function of x?

a)

(-6, 1), (-5, -1)

b)

(-6, 1), (-1, -1)

c)

(-2, 2), (-1, 1)

d)

(-3, 0), (-1, 1)

58.

A function models the height (y), in feet, of a car on a roller coaster based on the time (x), in seconds. The range consists only of positive numbers LESS THAN 100. Which graph could represent the function?

a)

b)

c)

d)

59.

The table shows the relationship between the number of tickets sold for a concert and a theater's net profit, in dollars. Which graph could represent the relationship between the number of tickets sold (x) and the theater's net profit (y)?

a)

b)

c)

d)

60.

A truck left a warehouse at 1:00 pm. The truck traveled 232 miles by 5:00 pm. The truck continued traveling at the same average speed. How many miles, altogether, did the truck travel by 6:30 pm?

a)

58

b)

87

c)

319

d)

348

61.

A line segment on a coordinate plane representing the distance a bicyclist is from home has a slope of 35/2. On a line segment, x represents time, in hours, that the bicyclist has been riding and y represents the bicyclists distance, in miles, from home. The bicyclist began his ride at home and rides his bicycle at a constant rate. How long will it take until the bicyclist is 140 miles from home?

a)

2 hours

b)

4 hours

c)

7 hours

d)

8 hours

62.

The ordered pairs shown are on the same line: (6, 4), (12, 6). which equation describes the relationship between the x-coordinate and the y-coordinate in the ordered pairs?

a)

y = 3x - 14

b)

y = 3x - 6

c)

d)

63.

Michelle went on a bicycle trip. The scatter plot below shows the distance she had traveled for various lengths of the time during the bicycle trip. Which equation describes the line of best fit for the scatter plot?

a)

b)

c)

d)

64.

A data set shows the number of minutes each of 153,477 students takes to complete a reading test. The median completion time is 110 minutes. The interquartile range is 34. Which statement about the completion times is MOST LIKELY to be true?

a)

Of these students, 25% complete the test in 110 minutes or less.

b)

Of these students, 50% complete the test in 110 minutes or less.

c)

Of these students, 75% complete the test in 127 minutes or less.

d)

Of these students, 75% complete the test in 144 minutes or less.

65.

Marti has been keeping track of the number of visitors to her new website for the past 9 months. The line graph shows the data Marti recorded. Based on the trend shown in the graph, which will MOST LIKELY be the number of visitors to Marti's website for the 12 month?

a)

5,000

b)

6,000

c)

8,000

d)

10,000

66.

Brent works at the tire store. He recorded the number of tires sold each day for two weeks in the stem-and-leaf plot. What is the median of the number of tires sold each day?

a)

100

b)

117

c)

121

d)

124

67.

Hank counted the number of scratches on cars of different ages. Hank then created a scatter plot showing the relationship between the age of a car (x) and the number of scratches found on the car (y). Based on the line of best fit, which is most likely the number of scratches that could be found on a car that is 30 years old?

a)

30

b)

74

c)

87

d)

100

68.

A number pattern in shown. The pattern continues. What is the difference between the last number in row 5 and the first number in row 5?

a)

12

b)

15

c)

43

d)

9

69.

Write an equation that can be used to find d, the difference between the last number and the first number for any row r.

a)

d = 3(r - 1)

b)

d = 3r - 1

c)

d = 3 - 3r

d)

d = 1 - 3r

70.

Which statement about the relation is true?

a)

The relation is not a function of x because all functions are linear

b)

The relation is a function of x because values of x increase toward infinity

c)

The relation is a function of x because each value of y corresponds to one value of x

d)

The relation is not a function of x because more than one value of y may correspond to the same value of x

71.

What is the domain of this relation? {(2, 140), (5, 350), (14, 980)}

a)

{2, 5, 14}

b)

{140, 350, 980}

c)

{all whole numbers from 2 to 14}

d)

{all whole numbers from 140 to 980}

72.

At the beginning of a road trip, there are 14,000 miles on Denny's car. During the trip, Denny drives his car at an average speed of 55 miles per hour. Which graph best shows the total number of miles (y) on the car as a function of the number of hours (x) Denny drives at 55 miles per hour?

a)

b)

c)

d)

73.

Edwin drove 261 miles from city X to city Y in 4.5 hours. He continued driving at the same average speed and drove another 145 miles from city Y to city Z. What is the total amount of time Edwin spent driving from city X to city Z?

a)

4.9 hours

b)

6.2 hours

c)

7 hours

d)

9 hours

74.

The graph shows the relationship between the number of minutes (x) that have passed since an airplane began its descent and the height above ground (y), in feet, of the airplane. Based on the graph, how long after it starts its descent will the airplane reach a height of 3,000 feet?

a)

14 minutes

b)

16 minutes

c)

28 minutes

d)

32 minutes

75.

The graph on the coordinate grid shows the number of gallons of gas (g) remaining in the tank of Edward's truck based on the number of miles (m) he has driven it. Which equation describes the graph?

a)

b)

c)

d)

76.

The graph of a line is shown. What is the y-intercept of the line?

a)

b)

c)

d)

77.

Which equation describes the line of best fit of the scatter plot?

a)

y = 0.37x - 4

b)

y = 0.37x

c)

y = 2.7x - 4

d)

y = 2.7x

78.

The range of the weights, in pounds, of all the goats on a farm is 180. Which statement about the weights of the goats is MOST LIKELY true?

a)

The heaviest goat on the farm weighs 180 pounds.

b)

Exactly 50% of the goats on the farm weigh less than 90 pounds.

c)

Exactly 50% of the goats on the farm weigh within 180 pounds of each other.

d)

There is a goat on the farm that weighs 180 pounds more than another goat on the farm.

79.

The number of cookies sold at a bakery each day last week are: 264, 203, 318, 502, 341, 173, 299. Based on the data and the circle graph, how many more chocolate chip cookies than oatmeal cookies will MOST LIKELY be sold during one day next week?

a)

25

b)

75

c)

125

d)

275

80.

Kari asked 6 of her friends how many movies they watched during the summer. Kari determined the following measures about the number of movies watched by the 6 friends. Mean = 9, median = 8, range = 16. The 3 friends who watched the most movies over the summer watched 18, 15, and 12 movies. How many movies were watched by each of the other 3 friends?

a)

1, 4, 4

b)

2, 2, 5

c)

2, 3, 4

d)

2, 4, 4

81.

A clothing store employee opens a box containing 20 brown, 15 gray, 15 blue, and 10 white shirts. The employee randomly selects 3 shirts from the box to place on a store shelf. Which expression could be used to determine the probability that the employee selects 3 brown shirts?

a)

b)

c)

d)

82.

Kent listed the coordinates of all the light poles in his town, relative to the center of town. Kent notes that the poles located at the points (2, 6), (4, 10), (2, 8), and (1, 4) need repairs. Which pole should Kent remove from his list in order to have the remaining poles lie in a straight line?

a)

(2, 6)

b)

(4, 10)

c)

(2, 8)

d)

(1, 4)

83.

Listed below are the number of miles Omar rode on his bike on each of six consecutive days: 8, 2, 1, 7, 2, 6. How far does Omar need to ride his bike on day seven to have a mean distance of 5 miles?

a)

7

b)

9

c)

5

d)

10

84.

Which graph shows y as a function of x?

a)

A

b)

B

c)

C

d)

D

85.

a)

0

b)

3

c)

4

d)

5

86.

A pizza restaurant charges for pizzas and adds a delivery fee. The cost (c), in dollars, to have any number of pizzas (p) delivered to a home is described by the function c = 8p + 3. Which statement is true?

a)

The cost of 8 pizzas is $11.

b)

The cost of 3 pizzas is $14.

c)

Each pizza costs $8 and the delivery fee is $3.

d)

Each pizza costs $3 and the delivery fee is $8.

87.

a)

y = 2.5x + 5

b)

y = 3.75x + 2.5

c)

y = 4x + 1

d)

y = 5x

88.

Jeff’s restaurant sells hamburgers. The amount charged for a hamburger, h, is based on the cost for a plain hamburger plus an additional charge for each topping, t, as shown in the equation below.

h = 0.60t + 5

What does the number 0.60 represent in the equation?

a)

the number of toppings

b)

the cost of a plain hamburger

c)

the additional cost for each topping

d)

the cost of a hamburger with 1 topping

89.

a)

y = 0.5x – 1.5

b)

y = 0.5x + 3

c)

y = 2x – 1.5

d)

y = 2x + 3

90.

a)

y = 0.37x + 1.57

b)

y = 0.37x + 10.11

c)

y = 0.68x + 2.32

d)

y = 0.68x + 6.61

91.

The daily high temperatures in degrees Fahrenheit in Allentown, PA, for a period of 10 days are shown below.

76 80 89 96 98 100 98 91 89 82

Which statement correctly describes the data?

a)

The median value is 98.

b)

The interquartile range is 16.

c)

The lower quartile value is 76.

d)

The upper quartile value is 96

92.

Vy will ask another 80 students to select their favorite sport. Based on the information in the bar graph, how many more students of the next 80 asked will select basketball rather than football as their favorite sport?

a)

10

b)

20

c)

25

d)

30

93.

A number cube with sides labeled 1– 6 is rolled two times, and the sum of the numbers that end face up is calculated. What is the probability that the sum of the numbers is 3?

a)

$\frac{1}{18}$

b)

$\frac{1}{12}$

c)

$\frac{1}{9}$

d)

$\frac{1}{2}$

94.

The set of ordered pairs shown below is a relation that is a function of x.

{(1, 3), (2, 4), (3, 5), (4, 6)}

Which ordered pair could be included in the set so that the relation remains a function of x?

a)

(0, 4)

b)

(1, 6)

c)

(3, 3)

d)

(4, 7)

95.

Based on the function shown in the table, what is the least number of lawns Aki will have to mow to buy the music player?

a)

22

b)

29

c)

30

d)

31

96.

a)

y = x – 12

b)

y = 2x + 5

c)

y = 4x – 9

d)

y = -4x + 13

97.

LaShawn earned $60.00 for working 8 hours this weekend. What is the total amount of money LaShawn would earn for working 34 hours at the same rate of pay?

a)

$255

b)

$272

c)

$315

d)

$453

Keystone Algebra: Module 2 Practice

Total questions: 97

Worksheet time: 5hrs 59mins

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