Free Printable Comparing Proportional Relationships Review

1.

What is the constant of proportionality in the equation y = 3x?

a)

1

b)

4

c)

2

d)

3

2.

Solve the proportion: 4:6 = x:9.

a)

5

b)

2

c)

6

d)

3

3.

If the constant of proportionality is 0.75, what is the value of y when x = 8?

a)

4

b)

6

c)

10

d)

2

4.

Solve the proportion: 3/5 = x/15.

a)

9

b)

6

c)

2

d)

12

5.

The table below shows the time it takes a prototype car to travel different distances.

What is the constant rate of change in this situation in miles per hour?

a)

132 miles per hour

b)

60 miles per hour

c)

55 miles per hour

d)

0.92 miles per hour

6.

Caroline's cell phone plan costs $32 per month. Which table shows the sum of the amounts that Caroline will pay for her call phone plan over the next 4 months.

a)

b)

c)

d)

7.

At a school carnival, tickets can be purchased to participate in different activities. The table shows the total cost for different numbers of tickets.

What is the constant of proportionality that relates, y, the total cost in dollars, to x, the number of tickets purchased?

a)

4.00

b)

0.25

c)

1.00

d)

0.10

8.

A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of flour used, x?

(a)

9.

The total distance a snail travels in feet, y, is directly proportional to the number of minutes the snail travels, x.

What is the constant of proportionality represented in the graph?

a)

2 feet per minute

b)

0.5 foot per minute

c)

3 feet per minute

d)

0.3 feet per minute

10.

Nate spent $0.75 on 1.5 pounds of bananas. At this rate, how much will 6 pounds of bananas cost?

(a)

11.

A battery factory typically produces 12,000 batteries per day and uses 50 boxes for packing the batteries. If the number of boxes needed for packing is proportional to the number of batteries produced, how many more boxes would be needed on a day when 18,000 batteries are produced?

(a)

12.

Joe was comparing sale price of two stores at the mall to decide where to buy his new jeans. The two stores' sale banners are shown below.

If Joe plans to buy 1 pair of jeans, which store offers a better deal after the discount?

a)

Store A, because Store B is more expensive after discount.

b)

Store B, because Store A is more expensive after discount.

c)

Store A, because Store B is less expensive before discount.

d)

Store B, because Store A is less expensive before discount.

13.

Which equation would math this proportional relationship?

a)

y = 45x

b)

y = 15x

c)

y = 30x

d)

y = 20x

14.

Which graph shows a proportional relationship?

a)

A

b)

B

c)

C

d)

D

15.

Create an equation for this proportional relationship.

a)

y = 10x

b)

y = 20x

c)

y = 5x

d)

y = 0.5x

16.

Bailey rode her bike at a constant speed. She rode 5 mile in 25 minutes. Write an equation for minutes per mile.

a)

y = 0.5x

b)

y = 10x

c)

y = 0.2x

d)

y = 5x

17.

Ordered pair (0,0) is also known as the ______.

a)

y-axis

b)

x-axis

c)

origin

18.

How do you write an ordered pair?

a)

(x, x)

b)

(y, y)

c)

(y, x)

d)

(x, y)

19.

What does the point (6, 4) mean on the graph?

a)

6 laps in 4 minutes

b)

2 laps in 3 minutes

c)

2/3 of a lap in 1 minute

d)

4 laps in 6 minutes

20.

What is the value of x in the proportion $\frac{9}{12}=\frac{6}{x}$ ?

a)

8

b)

10

c)

12

d)

18

21.

Trevor bought 5 packages of cake mix for $32.50. How much would 8 packages of cake mix cost?

a)

$60.00

b)

$48.00

c)

$52.00

d)

$39.00

22.

Inessa ran 3 laps in 10 minutes. How long would it take her to run 5 laps at this pace?

a)

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

b)

15 min

c)

16 $\frac{2}{3}$ min

d)

20 min

23.

Which pairs of figures have a scale factor of 2 : 5. Select all that apply.

a)

b)

c)

d)

e)

24.

Which graphs show a proportional relationship? Select all that apply.

a)

b)

c)

d)

e)

25.

What is the constant of proportionality?

a)

1/3

b)

3

c)

6

d)

It is not proportional

26.

Which equation models the proportional relationship shown?

a)

y = 6x

b)

y = 4x

c)

y = 3x

d)

y = 2x

27.

Which equations are direct variation equations. Select all that apply

a)

y = 3x

b)

y = 7/x

c)

y = 5x²

d)

y = x/9

e)

y = 5/4 x

28.

What is the constant of proportionality: y= 0.6x ?

a)

10

b)

6

c)

3/5

d)

1/10

29.

Which ratios are proportional to $\frac{10}{4}$ ?

a)

$\frac{2}{5}$

b)

$\frac{5}{2}$

c)

$\frac{15}{6}$

d)

$\frac{1}{4}$

30.

Greg bought four roses for $12.80. If the cost per rose is constant, how much would 9 roses cost?

a)

$16.00

b)

$3.20

c)

$25.60

d)

$28.80

31.

Mia ran 10 laps in 6 minutes. Shawna ran 5 laps in 4 minutes. Which person ran at a faster rate? Justify your answer with math.

a)

Mia: 0.6 min per lap

b)

Shawna 0.8 min per lap

c)

Mia 1.6 min per lap

d)

Shawna 1.25 min per lap

32.

Is the table proportional? If so, find the constant rate of proportionality. Select all that are appropriate.

a)

No

b)

Yes

c)

$\frac{1}{5}$

d)

5

e)

Not Proportional

33.

Is the table proportional? If so, what is the constant rate of proportionality. Select each appropriate answser.

a)

No

b)

Yes

c)

6

d)

4

e)

Not proportional

34.

Joe says the graph is y = 4x. Beth says it's y = $\frac{1}{4}$ x. Who's correct? Why?

a)

Joe: r is 4 because $\frac{4}{1}$ = 4

b)

Beth: r is $\frac{1}{4}$ because $\frac{2}{8}$ = $\frac{1}{4}$

c)

Joe because $\frac{8}{2}$ = 4

d)

Beth because $\frac{1}{4\ }=\frac{1}{4}$

35.

How do you test ratios in a table to see if they're proportional?

a)

y times 5

b)

y $\div$ x

c)

x $\div$ 1

d)

x $+$ y

36.

Does this table represent a proportional relationship?

a)

Yes, it's proportional

b)

No, it's not proportional

c)

Sometimes it's proportional

37.

Does this table show a proportional relationship?

a)

Yes, it's proportional

b)

No, it's not proportional

c)

Sometimes it's proportional

38.

What kind of relationship does this table show?

a)

Additive, it's proportional

b)

Additive, it's not proportional

c)

Multiplicative, it's proportional

d)

Divisitive, it's proportional

39.

If each monster has 1 tentacle and 1 mouth, how many of each would be needed to make 13 monsters?

a)

13 tentacles and 13 mouths

b)

2 tentacles and 2 mouths

c)

1 tentacle and 2 mouths

d)

3 tentacles and 3 mouths

40.

Using the photo above, how many arms would be needed to make 8 monsters?

a)

24

b)

12

c)

8

d)

16

41.

Based on the monster above, how many mouth's would you need if there were 36 tentacles?

a)

72

b)

18

c)

13

d)

12

42.

Based on the monsters ratio, how many tentacles would be needed if you had 3 eyes?

a)

2

b)

6

c)

9

d)

12

43.

If I were making monsters based on the one above, how many mouths would I need if I had 18 tentacles?

a)

6

b)

4

c)

12

d)

18

44.

Using the photo above, how many tentacles would I need if I had 12 eyes?

a)

16

b)

12

c)

24

d)

8

45.

Based on the ratios of eyes to tentacles, how many eyes would be needed if there were 10 tentacles?

a)

2

b)

6

c)

4

d)

8

46.

Based on the ratios of arms to tentacles, how many arms would be needed if there were 9 tentacles?

a)

2

b)

8

c)

12

d)

6

47.

Based on the ratios of eyes to tentacles, how many tentacles would be needed if there were 10 eyes?

a)

3

b)

12

c)

15

d)

18

48.

Based on the ratios of eyes to tentacles, how many of each would be needed to make 10 monsters?

a)

12 tentacles and 15 eyes

b)

50 tentacles and 20 eyes

c)

15 tentacles and 12 eyes

d)

20 tentacles and 50 eyes

49.

How much water was used in 9 minutes?

a)

45

b)

46

c)

44

d)

47

50.

How far does a sloth go in 3 minutes?

a)

16

b)

17

c)

18

d)

19

51.

How much will seventy square feet of carpet cost?

a)

177

b)

105

c)

96

d)

153

52.

How long does it take to go 12 miles?

a)

10

b)

10.5

c)

9.5

d)

9

53.

If you weigh 90 lbs on Earth, how much do you weigh on the moon?

a)

14

b)

13

c)

12

d)

15

54.

How long does it take to go 121 miles?

a)

11

b)

12

c)

10

d)

14

55.

If the recipe needs 18 cups of of grape juice, how much peach juice does it need?

a)

7.3

b)

7.2

c)

7

d)

7.8

56.

a)

A

b)

B

c)

C

d)

D

57.

How many apples are used for one tree?

a)

14

b)

18

c)

12

d)

13

58.

a)

Proportional

b)

Non-Proportional

59.

a)

A

b)

B

c)

C

d)

D

60.

a)

A

b)

B

c)

C

d)

D

61.

a)

A

b)

B

c)

C

d)

D

62.

a)

A

b)

B

c)

C

d)

D

63.

a)

A

b)

B

c)

C

d)

D

64.

a)

A

b)

B

c)

C

d)

D

65.

a)

A

b)

B

c)

C

d)

D

66.

a)

A

b)

B

c)

C

d)

D

67.

a)

A

b)

B

c)

C

d)

D

68.

a)

A

b)

B

c)

C

d)

D

69.

a)

A

b)

B

c)

C

d)

D

70.

a)

A

b)

B

c)

C

d)

D

71.

a)

A

b)

B

c)

C

d)

D

72.

a)

A

b)

B

c)

C

d)

D

73.

a)

A

b)

B

c)

C

d)

D

74.

a)

A

b)

B

c)

C

d)

D

75.

What does (8, 2) mean in meaningful words?

a)

8 petals and 2 daisies

b)

8 daisies and 2 petals

c)

4 daisies per petal

d)

4 petals per daisy

76.

Determine if this graph represents a proportional relationship. Is there a constant ratio? If so, state the constant of proportionality.

a)

3

b)

1/3

c)

9/3

d)

Not a proportion

77.

Determine if this graph represents a proportional relationship. Is there a constant ratio? If so, state the constant of proportionality.

a)

4

b)

3

c)

1/4

d)

Not a proportion

78.

Determine the constant of proportionality from the table.

(a)

79.

Is this the graph of a proportion? Explain how you know based on the features of the graph.

a)

Straight line through the origin - it is a proportion

b)

Not a proportion

80.

Write a y=kx equation that models the graph of a proportion passing through the point (10, 5).

a)

y=2x

b)

y=10x

c)

y=5x

d)

y=0.5x

81.

Describe the two key features of the graph of a proportional relationship.

a)

Straight line

b)

Curved line

c)

Through the origin

d)

Not through the origin

82.

Is this the graph of a proportion? Explain how you know based on the features of the graph.

a)

Straight line through the origin - it is a proportion

b)

Not a proportion

83.

How many apples are used for one tree?

a)

14

b)

18

c)

12

d)

13

84.

How much water was used in 9 minutes?

a)

45

b)

46

c)

44

d)

47

Comparing Proportional Relationships Review

Total questions: 84

Worksheet time: 4hrs 25mins

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