Quiz about PSSA Review Packet 22-23

Question 1

1. The line plot below shows the weights, in pounds, of twelve bowling balls on a rack. Which statement about the weights of these bowling balls is true?

Accepted Answer

The weights cluster from 8 pounds to 10 pounds, and 16 pounds is an outlier.

Answer

The weights cluster from 8 pounds to 10 pounds, and 8 pounds is an outlier.

Answer

The weights cluster from 11 pounds to 15 pounds, and 8 pounds is an outlier.

Answer

The weights cluster from 11 pounds to 15 pounds, and 16 pounds is an outlier.

Question 2

3. Which line plot shows a data distribution that has the same range and interquartile range?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 3

5. Mr Kusick unpacks full boxes of textbooks to get ready for the school year. Each full box contains the same number of textbooks. The table shows the numbers of textbooks that Mr Kusick unpacks from different numbers of boxes.

Which statement about this relation is true?

Accepted Answer

The number of textbooks is the dependent variable because it is determined by the number of boxes Mr. Kusick unpacks.

Answer

The number of boxes is the dependent variable because it is the first column in the table.

Answer

The number of boxes is the dependent variable because it is the smaller number in each row.

Answer

The number of textbooks is the dependent variable because each number of textbooks is a multiple of the number of boxes in the same row.

Question 4

6. A pizza was cut into equal slices. Ben ate 4 of the slices. The amount Ben ate was 2/3 of the whole pizza. Which equation represents a way to find the total number of slices that were in the whole pizza?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 5

7. An inequality is shown below.

$$x<20$$

Which equation has a solution that satisfies the inequality?

Accepted Answer

$$\frac{3}{4}x=12$$

Answer

$$x=3^3-7$$

Answer

$$21.2=x-12\frac{1}{2}$$

Answer

$$x=2.2\cdot6+2^3$$

Question 6

9. Which expression is equivalent to $$2 imes2 imes2 imes3 imes3 imes3 imes3 imes7 imes7?$$

Accepted Answer

$$2^3 imes3^4 imes7^2$$

Answer

$$3^2 imes4^3 imes2^7$$

Answer

$$8^3 imes81^4 imes49^2$$

Question 7

10. Which statement explains why $$-2x+4y=7$$ is not an expression?

Accepted Answer

An expression cannot have an equals sign.

Answer

An expression cannot have an operational symbol.

Answer

An expression cannot have any negative numbers.

Answer

An expression cannot have more than one variable.

Question 8

11. Mr. Li's yard is in the shape of a square. Each side has a length of 40 feet. Mr. Li uses 20% of the area of the yard for a garden. What is the area, in square feet, of the garden in Mr. Li's yard?

Accepted Answer

320

Answer

64

Answer

80

Answer

800

Question 9

12. Mike buys 4 packs of baseball cards for a total of $8. Each pack contains 10 baseball cards. How much does Mike pay for each baseball card?

Accepted Answer

$0.20

Answer

$0.05

Answer

$3.20

Answer

$5.00

Question 10

13. Jamal and Lucy each build model airplanes.

* Jamal had 10 model airplanes. After building some model airplanes last month, he had 18 model airplanes.

* Lucy also had some model airplanes. Last month, she built 12 model airplanes. After that, she had 20 model airplanes.

Which statement describes the ratio of the number of model airplanes Jamal built last month to the number of model airplanes Lucy built last month?

Accepted Answer

For every 2 model airplanes Jamal built, Lucy built 3 model airplanes.

Answer

For every model airplane Jamal built, Lucy built 5 model airplanes.

Answer

For every 2 model airplanes Jamal built, Lucy built 5 model airplanes.

Answer

For every 7 model airplanes Jamal built, Lucy built 3 model airplanes.

Question 11

14. A family traveled by car to visit a relative.

* The family traveled 114 miles on the route they used going to the relative's home.

* The family used a different route returning from the relative's home and traveled 156 miles.

* The car used a total of 12 gallons of gas.

On average, how many miles did the family travel for each gallon of gas the car used?

Accepted Answer

22.5

Answer

16.4

Answer

19

Answer

26

Question 12

15. Simplify: $$\frac{3\cdot27.25}{0.25}$$

Accepted Answer

327

Answer

81

Answer

121

Answer

243

Question 13

18. Juleen records the number of free throws she attempts in basketball practice each day for two weeks. The information she records is shown below.

15 19 16 24 18 26 38 40 20 41 26 33 40 37

Which histogram represents the information Juleen records?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 14

19. Which box-and-whisker plot most likely represents a set of data in which $$\frac{3}{4}$$ of the data values are greater than -30?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 15

20. The net of a rectangular prism is shown.

What is the volume, in cubic inches, of the rectangular prism?

Accepted Answer

$$52\frac{1}{12}$$

Answer

$$24\frac{1}{6}$$

Answer

$$44\frac{19}{24}$$

Answer

$$45\frac{5}{6}$$

Question 16

22. In the parallelogram shown, the ratio of the base to the height (h) is 4:1.

What is the area of the parallelogram?

Accepted Answer

36 cm2

Answer

3 cm2

Answer

4 cm2

Answer

12 cm2

Question 17

24. There is a relationship between the number of hours a plumber works and the amount of money he earns. The plumber earns $60 for every 2 hours he works. Which statement about the relationship and the amount of money the plumber earns is true?

Accepted Answer

The number of hours the plumber works is the independent variable in the relationship, and he earns $270 for 9 hours of work.

Answer

The number of hours the plumber works is the dependent variable in the relationship, and he earns $270 for 9 hours of work.

Answer

The amount of money the plumber earns is the dependent variable in the relationship, and he earns $540 for 9 hours of work.

Answer

The amount of money the plumber earns is the independent variable in the relationship, and he earns $540 for 9 hours of work.

Question 18

27. Shane records the number of yards earned on each of four plays in a football game. The numbers he records are listed below.

-8 15 3 -6

Which list shows the numbers of yards earned in order from least to greatest?

Accepted Answer

-8 -6 3 15

Answer

3 -6 -8 15

Answer

-6 -8 3 15

Answer

3 15 -8 -6

Question 19

28. Four points are graphed on the coordinate grid shown. Which graphed point has an ordered pair with an x-coordinate that is the opposite value of the x-coordinate of (-2,4)?

Accepted Answer

point Q

Answer

point P

Answer

point R

Answer

point S

Question 20

29. A room in Ben's house has a wall with a height of 10 feet. Ben hangs a painting on the wall so that the ceiling in the room is 3 feet above the top of the painting. The number 3 describes the location of the ceiling in the room relative to the top of the painting. Which number describes the location of the floor in the room relative to the top of the painting?

Accepted Answer

-7

Answer

-10

Answer

-3

Answer

0

Question 21

30. Which expression is equivalent to 72 + 45?

Accepted Answer

9(8 + 5)

Answer

8(9 + 5)

Answer

9(8 + 45)

Answer

10(62 + 35)

Question 22

31. Divide: $$2\frac{7}{9}\div\frac{5}{6}$$

Accepted Answer

$$3\frac{1}{3}$$

Answer

$$1\frac{13}{15}$$

Answer

$$2\frac{17}{54}$$

Answer

$$2\frac{14}{15}$$

Question 23

32. Marty read x books. Jackie read 28 books, which is 6 books more than the number of books Marty read. The equation below can be used to find the number of books Marty read.

x + 6 = 28

Ron read 3 times as many books as Marty. How many books did Ron read?

Accepted Answer

66

Answer

22

Answer

34

Answer

78

Question 24

33. Grace has $$15\frac{3}{4}$$ cups of plant food.

* She divides the plant food equally into 3 bags.

* She uses all the plant food in 1 of the bags to feed her potted flowers.

* She feeds each potted flower $$\frac{3}{4}$$ cup of planted food.

How many potted flowers does Grace feed?

Accepted Answer

7

Answer

$$4\frac{1}{2}$$

Answer

5

Answer

$$5\frac{1}{2}$$

Question 25

34. Franco asked his soccer team how many glasses of milk and how many glasses of water each player drinks per day. The line plots show his data.

Which statement correctly describes the number of glasses of milk and the number of glasses of water each player drinks per day?

Accepted Answer

There is less variability in the number of glasses of milk the players drink than the number of glasses of water they drink.

Answer

The mean would be a better measure of center than the median for the number of glasses of milk the players drink.

Answer

The median number of glasses of milk the players drink is greater than the mean number of glasses of milk the players drink.

Answer

The range for the number of glasses of milk and the range for the number of glasses of water the players drink are the same.

Question 26

35. A rectangular prism is shown.

What is the surface area of the rectangular prism in cubic centimeters?

Accepted Answer

346

Answer

173

Answer

320

Answer

390

Question 27

37. The vertices of a parallelogram are plotted on the coordinate plane shown.

What is the area, in square units, of the parallelogram?

Accepted Answer

24

Answer

8

Answer

9

Answer

12

Question 28

38. A trapezoid is shown.

What is the area of the trapezoid in squre meters?

Accepted Answer

21

Answer

27

Answer

34

Answer

42

Question 29

39. Gary saves $2.50 each day. Which equation describes the relationship between the number of days (d) Gary saves money and the total amount of money (m), in dollars, that he saves?

Accepted Answer

m = 2.50d

Answer

m = d - 2.50

Answer

d = 2.50m

Answer

$$d=\frac{2.50}{m}$$

Question 30

41. An inequality is shown.

$$x+2.5<20$$

What is the greatest value of x from the set {10.5, 12.5, 17.5, 19.5} that makes the inequality true?

Accepted Answer

12.5

Answer

10.5

Answer

17.5

Answer

19.5

Question 31

42. Alon started in 60% of his team's basketball games this season. He started a total of 12 games. How many games did Alon's team play this season?

Accepted Answer

20

Answer

6

Answer

7

Answer

18

Question 32

43. Jasmine earns $36 for 4 hours of baby-sitting. She charges a constant hourly rate. Which table correctly shows the amount Jasmine earns baby-sitting for different numbers of hours?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 33

44. For a recipe, Harris uses 2 cups of white sugar for each cup of brown sugar. How many cups of brown sugar does Harris use when he uses 1 cup of white sugar?

Accepted Answer

A. 1/2 cup

Answer

B. 1 cup

Answer

C. 1 1/2 cups

Answer

D. 2 cups

Question 34

45. The ratio of the number of boys to the number of girls in the cast of a school play is 1 : 5. Which statement must describe the cast of the play?

Accepted Answer

B. There is 1 boy for every 5 girls in the cast.

Answer

A. There are exactly 6 students in the cast.

Answer

C. There are 4 more girls than boys in the cast.

Answer

D. There is 1 boy out of the 5 students in the cast.

Question 35

46. James measures the water level from the top of a dock twice a day. The water level in the morning is -2 feet. The water level in the afternoon is -6.5 feet. Which statement about the relationship between the two measurements is true?

Accepted Answer

A water level of -2 feet is higher than a water level of -6.5 feet,

as -2 > -6.5.

Answer

A water level of -6.5 feet is higher than a water level of -2 feet,

as -6.5 > -2.

Answer

A water level of -2 feet is lower than a water level of -6.5 feet,

as -2 > -6.5.

Answer

A water level of -6.5 feet is the same as a water level of -2 feet,

as -6.5 = -2.

Question 36

47. Kiah plotted the locations of her home and the city of Huntingdon on the number line shown.

Williamsburg is the same distance from Kiah's home as Huntingdon, but it is in the opposite direction. Which statement best describes how to find the location of Williamsburg on the number line?

Accepted Answer

The opposite of 6.75 is -6.75, so Williamsburg is at -6.75.

Answer

The sum of 6.75 and 6.75 is 13.5, so Williamsburg is at 6.75.

Answer

The numbers 6.75 and -6.75 are the same, so Williamsburg is at 6.75.

Answer

Opposites, such as 6.75 and -6.75, sum to zero, so Williamsburg is at 0.

Question 37

48. Greg's social studies grade is based on two quizzes, two tests, and one project. The table below shows Greg's scores on these items, as well as each item's weight in determining his final grade.

To determine his final grade, Greg's teacher multiplies each score by its weight, adds the products together, and then divides the sum by 10. What is Greg's final grade?

Accepted Answer

88.4

Answer

79.9

Answer

86.8

Answer

92.0

Question 38

49. Divide: $$\frac{3}{4}\div\frac{2}{3}$$

Accepted Answer

$$\frac{9}{8}$$

Answer

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

Answer

$$\frac{8}{9}$$

Answer

2

Question 39

50. The histogram represents the weights, rounded to the nearest pound, of several orders of dog food. Which statement best describes the weights of the orders represented in the histogram?

Accepted Answer

There is a peak in the orders from 6 to 10 pounds.

Answer

The orders cluster near 20 pounds.

Answer

The orders are symmetrical about 8 pounds.

Answer

There is a gap in the orders from 11 to 15 pounds.

Question 40

51. The bar graph below shows how many questions various percentages of students in a class answered correctly on a recent 10-question quiz.

Which statement best describes the data displayed in the bar graph?

Accepted Answer

The number of quiz questions answered correctly is clustered around 7 out of 10.

Answer

Half the class answered from 0 to 5 of the 10 questions correctly.

Answer

Most of the students answered approximately 35% of the quiz questions correctly.

Answer

The percentage of students increases as the number of questions answered correctly increases.

Question 41

52. Enrique and his classmates recorded the distances, in miles, they each traveled for spring break. Their data is shown in the box-and-whisker plot.

Which statement must be true?

Accepted Answer

The median distance traveled is 80 miles.

Answer

The median distance traveled is 200 miles.

Answer

The mean distance traveled is 80 miles.

Answer

The mean distance traveled is 200 miles.

Question 42

53. The heights, rounded to the nearest foot, of the trees in a park are listed below.

23 13 8 52 26 42 48 52

What is the median of the tree heights?

Accepted Answer

34 feet

Answer

33 feet

Answer

39 feet

Answer

44 feet

Question 43

54. Malik interviewed 20 people who each have just one sibling. He asked them what the difference in age, in years, is between them and their siblings. The line plot shows Malik's data.

Malik removes the point representing the 10-year age difference from his data. Which measure changes the least in value when this point is removed from Malik's data?

Accepted Answer

mode

Answer

mean

Answer

median

Answer

range

Question 44

55. Yvonne and her family went on a 10-day fishing trip. The data set below shows the number of fish they caught each day.

14 4 8 16 7 12 10 11 10 9

Which box-and-whisker plot represents the number of fish Yvonne and her family caught on their fishing trip?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 45

56. A data set contains eight numbers. Only four of the numbers are known. When the eight numbers are ordered from least to greatest, the unknown numbers can be placed into the blanks of the ordered list shown below.

19.2 __ __ 20.4 26.0 __ __ 30.8

Which box-and-whisker plot could represent the data set?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 46

57. Matthew asked 10 students how many pets and how many siblings each has. The line plots show his data.

Which statement correctly describes Matthew's data?

Accepted Answer

There is less variability in the number of pets the students have than in the number of siblings the students have.

Answer

The median number of pets the students have is less than the median number of siblings the students have.

Answer

The range in the number of siblings the students have is less than the range in the number of pets the students have.

Answer

The mean absolute deviation of the number of siblings the students have is less than the mean absolute deviation of the number of pets the students have.

Question 47

58. Coah Jansen records the number of mile each of his 10 students ran last week. Some information about the numbers of miles is listed below.

* The mean number of miles run by the students is 5.

* The median number of miles run by the students is also 5.

Which line plot could show the numbers of miles the 10 students ran last week?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 48

59. Neelah received a package in the shape of a rectangular prism as shown.

The volume of the package is 748 cubic inches. The equation $$4 imes11 imes h=748$$ can be used to find the height (h), in inches, of the package. What is the surface area, in square inches, of Neelah's package?

Accepted Answer

598

Answer

299

Answer

418

Answer

510

Question 49

60. Phil is making a number cube out of cardboard. He traces one face of the number cube into a coordinate grid. The coordinates of two opposite vertices of the face are (4,8) and (12,16). What is the surface area, in square units, of Phil's entire number cube?

Accepted Answer

384

Answer

48

Answer

64

Answer

512

Question 50

61. Jamal keeps different colors of beads in containers shaped like the ones shown.

What is the volume, in cubic inches, of one of these containers?

Accepted Answer

$$12\frac{1}{4}$$

Answer

$$4\frac{9}{16}$$

Answer

$$7\frac{1}{2}$$

Answer

14

Question 51

62. A triangle and a trapezoid are graphed on the coordinate plane shown.

What is the combined area, in square units, of the two shapes?

Accepted Answer

10

Answer

14

Answer

16

Answer

20

Question 52

63. The coordinates of the vertices of a quadrilateral are shown.

What is the area, in square units, of the quadrilateral?

Accepted Answer

36 square units

Answer

24 square units

Answer

48 square units

Answer

72 square units

Question 53

64. A birdhouse is shaped like a rectangular prism. A circular hole is cut out of the front of the birdhouse for the entrance, as represented in the picture.

* The volume of the bird house is 140 cubic inches.

* The hole has an area that is 1/4 the area of the top of the birdhouse.

Alicia paints the outside of the birdhouse. How many square inches does Alicia paint?

Accepted Answer

161

Answer

156

Answer

159

Answer

166

Question 54

65. The temperature in Dylan's freezer, in degrees Fahrenheit, over several hours in an afternoon is shown in the graph.

Which equation can be used to determine the temperature, in degrees Fahrenheit, of Dylan's freezer?

Accepted Answer

$$y=4$$

Answer

$$x=4$$

Answer

$$x=y+4$$

Answer

$$y=x+4$$

Question 55

66. The table below shows the relationship between the number of buses used on a field trip and the maximum number of riders.

Which equation describes the relationship shown in the table?

Accepted Answer

$$r=40b$$

Answer

$$r=b+40$$

Answer

$$r=3b+120$$

Answer

$$r=117b$$

Question 56

67. Carlos makes wooden boxes without tops to use as flower planters. Each wooden box has a width of 14 inches and a height of 24 inches. The length of the box (x) varies depending on the types of flowers Carlos will plant. A picture of a wooden box is shown.

Which equation can be used to find the surface area (y), in square inches, of a wooden box that has a length of x inches?

Accepted Answer

$$y=672+76x$$

Answer

$$y=38+x$$

Answer

$$y=336x$$

Answer

$$y=672+62x$$

Question 57

68. A relationship is described below.

For every 6 inches of border used around a bulletin board, 2 pushpins are used.

Which statement about the dependent variable in the relationship is true?

Accepted Answer

The number of pushpins used is the dependent variable because it is determined by the length of border used.

Answer

The length of border used is the dependent variable because it is determined by the number of pushpins used.

Answer

The length of border used is the dependent variable because it is not determined by the number of pushpins used.

Answer

The number of pushpins used is the dependent variable because it is not determined by the length of border used.

Question 58

69. Sergei knows the bicycle he wants to buy will cost more than $84.00. He has already saved $26.75 for the bicycle. His aunt has given him $20.00 to use to buy the bicycle. Which inequality describes all of the additional amounts of money (m), in dollars, that Sergei could save to be able to buy the bicycle?

Accepted Answer

$$m>37.25$$

Answer

$$m>46.75$$

Answer

$$m>57.25$$

Answer

$$m>84.00$$

Question 59

70. Michael has $68. Craig has $24 less than Michael has. Michael spends $20 on a new hat. The solution of which equation represents the amount of money (x), in dollars, Craig has after Michael buys the hat?

Accepted Answer

$$x+4=48$$

Answer

$$x+4=68$$

Answer

$$x+20=44$$

Answer

$$x+24=48$$

PSSA Review Packet 22-23

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