Free Printable 2011 - 2024 Keystone Algebra I Module 2 Samplers

1.

Which graph shows y as a function of x?

a)

A

b)

B

c)

C

d)

D

2.

a)

0

b)

3

c)

4

d)

5

3.

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.

4.

a)

y = 2.5x + 5

b)

y = 3.75x + 2.5

c)

y = 4x + 1

d)

y = 5x

5.

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

6.

a)

y = 0.5x – 1.5

b)

y = 0.5x + 3

c)

y = 2x – 1.5

d)

y = 2x + 3

7.

a)

y = 0.37x + 1.57

b)

y = 0.37x + 10.11

c)

y = 0.68x + 2.32

d)

y = 0.68x + 6.61

8.

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

9.

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

10.

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)

$\frac{1}{2}$

11.

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)

12.

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

13.

a)

y = x – 12

b)

y = 2x + 5

c)

y = 4x – 9

d)

y = -4x + 13

14.

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

15.

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

16.

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}

17.

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)

18.

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

19.

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

20.

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)

21.

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

a)

b)

c)

d)

22.

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

23.

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.

24.

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

25.

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

26.

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)

27.

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)

28.

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

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.

Chef Bailey measured the internal temperature of a whole chicken during the first 60 minutes of cooking time. The pattern in the temperatures she measured is shown in the table below.

The pattern continues. Which graph best represents the pattern?

a)

b)

c)

d)

44.

Which set of ordered pairs is a function?

a)

{(ˉ10, 4), (ˉ8, 3), (ˉ8, 2), (ˉ4, 1)}

b)

{(ˉ2, 4), (0, 4), (2, 4), (2, 6)}

c)

{(1, 5), (1, 6), (2, 7), (3, 8)}

d)

{(ˉ1, 1), (0, 0), (1, 1), (2, 2)}

45.

Laura drove her car on three trips. She began each trip with a full tank of fuel in her car. The table below shows the relation between the distance driven on each trip and the amount of fuel remaining in the car’s fuel tank at the end of the trip.

What is the range of the relation in the table?

a)

{8, 10, 15}

b)

{60, 160, 200}

c)

{all whole numbers from 8 through 15}

d)

{all whole numbers from 60 through 200}

46.

Paul inherited a stamp collection. Since receiving the collection, Paul has gone to the store and bought the same number of new stamps each week to add to his collection. The equation shown below can be used to determine the number of stamps (y) in Paul’s stamp collection x weeks after he inherited the stamps.

y = 3x + 40

Based on the equation, which statement is true?

a)

The stamp collection had 3 stamps in it when Paul inherited it.

b)

So far, Paul has purchased 40 additional stamps for the collection.

c)

Since inheriting the collection, Paul has bought 3 new stamps each week.

d)

Six weeks after he inherited the collection, Paul’s stamp collection contains 18 stamps..

47.

A function of x is graphed on the coordinate plane below.

Which table represents the function?

a)

b)

c)

d)

48.

A caterer uses 4 pans of lasagna to serve 30 people. At this rate, how many pans of lasagna does the caterer use to serve 390 people?

a)

13

b)

52

c)

90

d)

98

49.

Which linear equation has the points $\left(\frac{1}{2},\ \frac{3}{4}\right)$ and $\left(4,\ 3\right)$ as solutions?

a)

$9x-14y=-6$

b)

$9x+14y=78$

c)

$y-3=\frac{14}{9}\left(x-4\right)$

d)

$y-4=\frac{9}{14}\left(x-3\right)$

50.

Martha earns money sewing curtains. She charges a flat fee to meet with a customer and take window measurements and an hourly rate to sew the curtains. The graph below shows the relationship between the time, in hours, Martha works on a sewing project and the total amount, in dollars, she charges.

What is the hourly rate that Martha charges for sewing curtains?

a)

$10.00

b)

$12.50

c)

$15.00

d)

$20.00

51.

A data set contains student test scores.

• The median test score is 75 points.

• The third quartile value is 85 points.

• The range of the test scores is 40 points.

Which statement about the test scores in the data set is most likely true?

a)

The lowest test score is 45 points.

b)

The highest test score is 95 points.

c)

About 25% of the test scores are less than 55 points.

d)

About 25% of the test scores are between 75 and 85 points.

52.

The scatter plot shows nine points from a data set.

The equation of the line of best fit for the nine points is determined. Then, three more points are added to the scatter plot, but the equation of the original line of best fit remains unchanged. Which three ordered pairs are most likely the added data points?

a)

(4, 4), (5, 5), (6, 6)

b)

(4, 10), (4, 11), (4, 12)

c)

(8, 9), (8, 10), (8, 11)

d)

(10, 10), (10, 11), (10, 12)

53.

The scatter plot below shows the relationship between the age of a house and the number of days it takes for the house to be sold after being listed for sale.

The equation y = 0.95x + 17.56 describes the line of best fit for the scatter plot. Based on the equation, which value is most likely the number of days it takes for a 60-year-old house to be sold after being listed for sale?

a)

45

b)

70

c)

75

d)

83

54.

There are 28 students whose last names begin with the letters G, H, J, or K. Information about the probability of randomly selecting one of these students is listed below.

How many of these students have a last name that begins with H?

a)

4

b)

5

c)

6

d)

7

55.

A graph of a relation is shown.

Removing which line segment from the graph would make the relation a function of x?

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)

56.

The set of ordered pairs below is a relation.

{(0.5, 2), (1.5, 5), (4.0, 12), (6.5, 15)}

Which relation has the same domain as the given relation?

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)}

57.

A teacher buys some pencils.

• He buys 2 pencils for each of his students.

• He buys 10 additional pencils.

• Each pencil costs $0.10.

Which equation describes the total amount of money (y), in dollars, that the teacher spends on pencils as a function of the number of students (x) he has?

a)

$y=1.20x$

b)

$y=2.00x$

c)

$y-0.20x+1$

d)

$y=0.10x+12$

58.

The table below represents a function of x.

Which equation describes the function?

a)

$y=-2x+12$

b)

$y=-2x+24$

c)

$y=2x+12$

d)

$y=2x+24$

59.

Bari paid a total of $62 for 3 hours of driving lessons. This included a $20 fee for the driver’s manual and an hourly rate for use of the car. What is the hourly rate Bari paid?

a)

$14

b)

$20

c)

$21

d)

$27

60.

The graph shown represents a linear function.

Which equation describes the linear function?

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)

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

61.

Martha earns money sewing curtains. She charges a flat fee to meet with a customer and take window measurements and an hourly rate to sew the curtains. The graph below shows the relationship between the time, in hours, Martha works on a sewing project and the total amount, in dollars, she charges.

What is the hourly rate that Martha charges for sewing curtains?

a)

$10.00

b)

$12.50

c)

$15.00

d)

$20.00

62.

The scatter plot below shows the relationship between the number of video files (x) stored on a computer and the number of gigabytes (y) of storage space available on the computer.

Based on the scatter plot, which equation represents a line of best fit that could be used to predict the number of gigabytes of storage space available on the computer based on the number of video files that could be stored on the computer?

a)

y = -14x + 250

b)

y = -9x + 116

c)

y = -8x + 227

d)

y = -4x + 189

63.

A data set shows a basketball team’s final scores for one season. Some information about the scores in the data set is listed below.

• The minimum value is 42.

• The lower quartile value is 54.

• The median is 60.

• The upper quartile value is 72.

• The maximum value is 90.

Of the team’s final scores for the season, 75% of them are most likely between which two values?

a)

42 and 66

b)

42 and 72

c)

60 and 72

d)

72 and 90

64.

The owner of an ice-cream stand conducts a random survey of 50 people to determine which ice-cream flavor customers prefer to buy. The bar graph below shows the results of the survey.

The ice-cream stand is expected to serve 350 customers on the first day of summer. Based on the results of the survey, which value is most likely the number of customers who will buy an ice-cream flavor other than chocolate on the first day of summer?

a)

56

b)

126

c)

168

d)

224

65.

A scatter plot shows the relationship between the distances (x), in miles, from a local airport to airports in various cities and the time (y), in minutes, a flight between the airports takes. The equation below describes the line of best fit for the scatter plot.

y = 0.16x + 58.62

Based on the equation, which value is the most likely distance, in miles, between two airports when a flight between the airports takes 240 minutes?

a)

1,134

b)

1,441

c)

1,866

d)

2,251

66.

There are 28 students whose last names begin with the letters G, H, J, or K. Information about the probability of randomly selecting one of these students is listed below.

How many of these students have a last name that begins with H?

a)

4

b)

5

c)

6

d)

7

67.

The table shows a pattern in the cost of online data storage for different numbers of terabytes of data stored.

The pattern continues. Which equation describes the pattern in the cost of online data storage?

a)

c = 3t + 225

b)

c = 5t + 225

c)

c = 50t + 90

d)

c = 75t + 15

68.

Which graph represents a function?

a)

b)

c)

d)

69.

The set of ordered pairs below is a relation.

{(1, 5), (0, 2), (-1, -1), (-2, -4)}

What is the range of the relation?

a)

{-4, -1, 2, 5}

b)

{-2, -1, 0, 1}

c)

{all real numbers from ˉ4 through 5}

d)

{all real numbers from ˉ2 through 1}

70.

A function of x is graphed on the coordinate plane.

Which equation describes the function?

a)

$y=\frac{2}{3}x-4$

b)

$y=\frac{2}{3}x+6$

c)

$y=\frac{3}{2}x\ -\ 4$

d)

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

71.

A student completes math problems at an average rate of 2 problems every 5 minutes. At this rate, how many math problems does the student complete in 65 minutes?

a)

13

b)

26

c)

30

d)

52

72.

Sonya is baking cookies. The table shows the relationship between the number of batches of cookies she bakes and the number of cups of sugar she uses.

Based on the relationship shown in the table, how many more cups of sugar does Sonya use to bake 9 batches of cookies than to bake 3 batches of cookies?

a)

$6$

b)

$12$

c)

$13\ \frac{1}{2}$

d)

$20\ \frac{1}{4}$

73.

Karl starts biking at some distance from his house and rides his bike away from his house. The graph shows the relationship between the amount of time Karl rides and his distance from his house.

What distance, in miles, is Karl from his house when he starts biking?

a)

0.17

b)

0.25

c)

2.25

d)

5.33

74.

The scatter plot shows the cost (y), in dollars, of orange trees based on their ages (x), in years.

Based on the scatter plot, which equation represents the line of best fit for the cost of the orange trees?

a)

$y=11.8x$

b)

$y=11.8x+29.2$

c)

$y=15.7x$

d)

$y=15.7x+40.0$

75.

A teacher measures the time it takes each student in a class to complete a puzzle. The first quartile value of the teacher’s data is 4 minutes. The third quartile value is 6 minutes. Which statement must be true?

a)

About 25% of the students completed the puzzle in 4 minutes or less..

b)

About 50% of the students completed the puzzle in 6 minutes or more.

c)

Exactly 25% of the students completed the puzzle in exactly 4 minutes..

d)

Exactly 50% of the students completed the puzzle in 5 minutes or less..

76.

The bar graph shows the average number of minutes Frank spends each week participating in four activities.

Based on the information shown in the bar graph, which value is most likely the difference between the number of minutes Frank will spend reading the next 4 weeks and the number of minutes Frank will spend gaming online the next 4 weeks?

a)

56

b)

168

c)

224

d)

295

77.

The box-and-whisker plot represents the prices of all the cars for sale at a dealership.

Based on the box-and-whisker plot, which statement about the prices of the cars is most likely true?

a)

One-half of the cars are priced at $12,000..

b)

All of the cars are priced no lower than $10,000.

c)

One-half of the cars are priced between $14,000 and $25,000.

d)

One-fourth of the cars are priced between $12,000 and $14,000.

78.

The scatter plot shows the relationship between the time, in minutes, and the distance, in miles, that Julie walked on several occasions.

Based on the line of best fit, which is most likely the number of miles Julie would walk in 105 minutes?

a)

4

b)

5

c)

6

d)

7

79.

The first six numbers in a pattern are listed below.

-19.2, -18.4, -17.6, -16.8, -16, -15.2

The pattern continues . Which expression could be used to determine the 100th number in the pattern?

a)

-39.2(100) + 20

b)

-0.8(100) – 18.4

c)

0.8(100) – 20

d)

20(100) – 135.2

80.

The table lists all the ordered pairs representing a relation.

What is the domain of the relation?

a)

{0, 4}

b)

{1, 2, 3, 5}

c)

{all real numbers from 0 to 4}

d)

{all real numbers from 1 to 5}

81.

For a local race, the prize for first place is $250 plus an additional $5 for every person who registers for the race . The equation shown below represents the prize (y), in dollars, for first place based on the number of people (x) who register for the race.

y = 5x + 250

Which statement about the prize for first place is true?

a)

The prize for first place will always be a multiple of 50

b)

The prize for first place will be $325 if 75 people register for the race.

c)

The prize for first place when there are 50 people registered for the race is twice as much as when there are 25 people registered.

d)

The prize for first place when there are 100 people registered for the race is twice as much as when there are 25 people registered.

82.

The equation 3x + y = 8 describes a function of x . Which graph represents the function?

a)

b)

c)

d)

83.

Paul paints houses . He charges his customers a fixed amount to cover the expenses of using a paint sprayer and buying brushes . He also charges an amount based on the number of gallons of paint (x) he will need . The equation shown below represents the total amount (y), in dollars, Paul charges his customers for the materials he will need for a job.

y = 14.5x + 80

What is represented by the number 14 .5 in Paul’s equation?

a)

the number of gallons of paint Paul will need

b)

the charge for each gallon of paint Paul will need

c)

the number of hours it will take to complete the paint job

d)

the fixed amount charged for using a paint sprayer and buying brushes

84.

What is the equation of the line that passes through the points (ˉ2, 4) and (6, 2)?

a)

y = 0.25x + 4 .5

b)

y = 0.25x + 0 .5

c)

y = -0.25x + 14

d)

y = -0.25x + 3 .5

85.

A line is graphed on the coordinate plane shown.

Which statement correctly describes the line?

a)

The line has a slope of –2 and a y-intercept of –4.

b)

The line has a slope of –2 and a y-intercept of –2.

c)

The line has a slope of –__ 1 2 and a y-intercept of –4.

d)

The line has a slope of –__ 1 2 and a y-intercept of –2 .

86.

Jessie lifts dumbbells as part of her exercise routine . The scatter plot shows the relationship between the number of pounds (x) a dumbbell weighs and the number of repetitions (y) of a specific exercise that Jessie can perform.

Based on the scatter plot, which equation represents a line of best fit that could be used to model the relationship between the weights of the dumbbells and the numbers of repetitions that Jessie can perform?

a)

y = ˉ0 .8x + 30

b)

y = -1 .5x + 50

c)

y = -2 .8x + 73

d)

y = -3 .5x + 52

87.

The list below represents the number of novels written by each of Amir’s 10 favorite authors .

1 3 3 4 5 7 8 10 12 23

What is the interquartile range of the number of novels written by each of Amir’s 10 favorite authors?

a)

3

b)

6

c)

7

d)

22

88.

Dion has two bunches of similar bananas . One bunch has 8 bananas, and the other bunch has 9 bananas . The list below shows the weight, in grams, of each of the bananas in the bunch of 8 .

138 118 121 164 140 115 129 123

Which measurement is most likely closest to the total weight of the bunch of 9 bananas?

a)

932 grams

b)

1,048 grams

c)

1,179 grams

d)

1,368 grams

89.

Vaughn surveyed 9 classmates . He asked each classmate for the number of days in the previous week that he or she had eaten fruit and the number of days that he or she had exercised . The scatter plot shows the results of his survey.

What is the median number of days that the 9 classmates exercised last week?

a)

2

b)

3

c)

4

d)

5

90.

A bookstore manager will randomly select 1 of 5 newly arrived fiction books and 1 of 4 newly arrived nonfiction books for a window display . What is the probability that the manager will select the shortest of the newly arrived fiction books and the longest of the newly arrived nonfiction books?

a)

5%

b)

10%

c)

20%

d)

45%

91.

Which monomial is the greatest common factor (GCF) of x⁴y⁸ and x⁶y⁴?

a)

x²y⁴

b)

x⁴y⁴

c)

x⁶y⁸

d)

x¹²y⁸

92.

What error did Wyatt make when he attempted to simplify the expression?

a)

Going from the given expression to line 1, Wyatt divided the exponents in the numerator by 2 instead of by 3.

b)

Going from the given expression to line 1, Wyatt divided all the exponents by 2 but should have subtracted 3 from the exponents in the numerator and subtracted 2 from the exponents in the denominator.

c)

Going from line 2 to line 3, Wyatt subtracted the exponents when he should have added the exponents.

d)

Going from line 2 to line 3, Wyatt put the y-term in the numerator when it should have been in the denominator and he put the x-term in the denominator when it should have been in the numerator.

93.

A local store sells different types of fruit drinks for $2 to $4 each. Jon buys d fruit drinks and pays $36.53. Which value could be the number of fruit drinks Jon buys?

a)

6

b)

9

c)

12

d)

19

94.

A polynomial expression is shown.

(7x²y - 5x + 8y²) - (3x²y + 2x - 6y²)

Which expression is equivalent to the polynomial expression?

a)

4x²y - 3x + 2y²

b)

4x²y - 7x + 14y²

c)

10x²y - 7x + 14y²

d)

10x²y - 3x + 2y²

95.

Kaden wants to have exactly $600 in his bank account by the end of the next 12 months . His bank account currently has $84 in it . The bank account does not earn interest . He decides to deposit the same amount each month for the next 12 months . Which equation can be used to find the amount of money (x), in dollars, he must deposit each month to reach his goal?

a)

12x + 84 = 600

b)

12x - 84 = 600

c)

12x + 84 = 684

d)

12x - 84 = 684

96.

a)

additive property of equality

b)

associative property of addition

c)

commutative property of addition

d)

identity property of addition

97.

Fernando works at a clothing store . Each week, he earns $120 plus a 25% commission on any clothing he sells . The equation shown below can be used to determine the total amount (y), in dollars, Fernando earns in a week during which he sells x dollars’ worth of clothing.

y = 0.25x + 120

The ordered pair (225, 176 .25) is a solution of the equation . What does this solution represent in the context of the situation?

a)

In a week during which Fernando sells $176 .25 worth of clothing, he earns a total of $225.

b)

In a week during which Fernando sells $176 .25 worth of clothing, he earns $225 in commission.

c)

In a week during which Fernando sells $225 worth of clothing, he earns a total of $176 .25.

d)

In a week during which Fernando sells $225 worth of clothing, he earns $176 .25 in commission.

98.

Nikki and Emily are buying tickets to a school play for their families . Nikki buys 3 adult tickets and 1 student ticket for $15 . Emily buys 2 adult tickets and 2 student tickets for $14 . The coordinate plane shown below displays a graph that models this situation, but the labels for the two axes are missing.

What does the point of intersection on the coordinate plane represent?

a)

Nikki pays $3 for each ticket, and Emily pays $4 for each ticket .

b)

Nikki pays $4 for each ticket, and Emily pays $3 for each ticket.

c)

The price of each adult ticket is $3, and the price of each student ticket is $4 .

d)

The price of each adult ticket is $4, and the price of each student ticket is $3.

99.

a)

85 < x < 90

b)

85 < 2(x + 3) < 90

c)

85 < 2x + 3 < 90

d)

85 < 3x + 2 < 90

100.

Rajeev unpacks 1 box that has 8 books in it . He has 4 other boxes that each have x books in them . He knows he has at least 80 books . The inequality shown below represents this situation.

$4x+8\ge80$

Which graph best models all the possible numbers of books in each of Rajeev's 4 other boxes?

a)

b)

c)

d)

101.

A system of inequalities is shown below.

$x\ge-2$

$y<3$

Which graph shows the correct solution set of this system of inequalities.

a)

b)

c)

d)

102.

Laura is buying bottles of water and bottles of lemonade for an event at her school . She needs to buy at least 6,400 ounces of beverages between the water and lemonade . Each bottle of water is 20 ounces, and each bottle of lemonade is 32 ounces . Laura has a budget of $600 to buy the beverages . The system of inequalities shown represents this situation.

One solution to this system of inequalities is (40, 180) . What does this solution represent?

a)

By buying 40 bottles of lemonade and 180 bottles of water, Laura will have at least 6,400 ounces of beverages and stay within her budget of $600.

b)

By buying 40 bottles of water and 180 bottles of lemonade, Laura will have at least 6,400 ounces of beverages and stay within her budget of $600.

c)

By spending $40 on bottles of lemonade and $180 on bottles of water, Laura will have at least 6,400 ounces of beverages and stay within her budget of $600.

d)

By spending $40 on bottles of water and $180 on bottles of lemonade, Laura will have at least 6,400 ounces of beverages and stay within her budget of $600.

103.

Landry is working with the expression $2\sqrt[]{18x}$ .

Determine an integer value of x less than 10 for which $2\sqrt[]{18x}$ is a rational number.

(a)

104.

Write an expression that is equivalent to $2\sqrt[]{18x}$ and is in the form $a\sqrt[]{bx}$ , where a and b are positive integers and $a\ne2$ .

105.

What is the largest integer value of x for which $2\sqrt[]{18x}<36$ is true?

(a)

106.

Landry is working with the three expressions shown in the picture.

Determine all the integer values of x for which $2\sqrt[]{18x}$ is greater than $x^2$ and $2\sqrt[]{18x}$ is also greater than $\frac{18}{x}$ .

(Separate your answers with a comma and a single space., and write them in order from least to greatest.)

(a)

107.

The first 5 terms of a pattern are shown below.

120, 162, 204, 246, 288

Which expression can be used to find the 12th term in the pattern?

a)

42(11)

b)

42(12)

c)

120 + 42(11)

d)

120 + 42(12)

108.

The graph of a relation is shown below.

Which statement about the relation is true?

a)

Because the points are not linear, the relation is not a function.

b)

Because the points are not connected, the relation is not a function.

c)

Because each x-value corresponds to exactly one y-value, the relation is a function.

d)

Because there are two x-values that have the same y-value, the relation is a function.

109.

piece of wood fell into a river. The equation shown below can be used to determine the distance (d), in meters, the piece of wood has floated down the river t minutes after it fell into the river.

$d=\frac{11}{5}t$

Based on the equation, which statement is true?

a)

The piece of wood will have floated a distance of 5 meters in 11 minutes.

b)

The piece of wood will have floated a distance of 11 meters in 5 minutes

c)

The piece of wood will have floated a distance of 1 meter in 5 minutes and 2 meters in 11 minutes.

d)

The piece of wood will have floated a distance of 5 meters in 1 minute and 11 meters in 2 minutes.

110.

Which graph represents the equation $y=-\frac{2}{3}x-4$ ?

a)

b)

c)

d)

111.

The tables shows the numbers of pounds of potatoes that are needed to make French fries for different numbers of people and the costs, in dollars, for different numbers of pounds of potatoes.

The linear pattern in each table continues. Based on the tables, how much will it cost to buy enough potatoes to make French fries for 200 people?

a)

$120

b)

$150

c)

$160

d)

$213

112.

A store sells pre-owned books.

• The store makes the same amount of money for each pre-owned book sold.

• The store makes $19.05 from selling 3 pre-owned books.

How much more money does the store make from selling 47 pre-owned books than from selling only 18 pre-owned books?

a)

$86.15

b)

$184.15

c)

$465.45

d)

$552.45

113.

What is the slope of the line represented by the equation 7 x − 3 y = 5?

a)

$-\frac{7}{3}$

b)

$-\frac{3}{7}$

c)

$\frac{3}{7}$

d)

$\frac{7}{3}$

114.

A scatter plot is shown.

Which equation represents a line of best fit for the scatter plot?

a)

b)

c)

d)

115.

A teacher gave a quiz that was worth 50 points. The range of quiz scores was 35 points. Based on the range of quiz scores, which conclusion is most likely true?

a)

Every quiz score was 35 points.

b)

The lowest quiz score was 35 points.

c)

Half of the quiz scores were between 10 points and 45 points.

d)

The highest quiz score was 50 points and the lowest quiz score was 15 points.

116.

Tyler randomly surveyed 94 of the ninth-grade students at his school on their favorite type of music. The bar graph shown displays the results of his survey.

Tyler will survey 28 more ninth-grade students to select their favorite type of music. Based on the bar graph, how many of the 28 students will most likely select jazz as their favorite type of music?

a)

4

b)

7

c)

13

d)

16

117.

Carol is throwing a baseball. For each of her throws, the baseball travels a different distance. The box-and-whisker plot shown below represents the distances, in feet, the baseball travels for each of her first 40 throws.

Based on the box-and-whisker plot, for how many of Carol’s next 80 throws should she expect the baseball to travel more than 60 feet?

a)

10

b)

20

c)

25

d)

30

118.

A radio station will randomly select 1 of 5 playlists, each containing 8 songs, to play over the next hour. The station will then play the songs on the selected list in a random order. Josh’s favorite song is on 3 of those playlists. What is the probability that the first song in the next hour is Josh’s favorite song?

a)

0.025

b)

0.075

c)

0.375

d)

0.475

2011 - 2024 Keystone Algebra I Module 2 Samplers

Total questions: 118

Worksheet time: 4hrs 58mins

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