Free Printable 7 UNIT TEST 2 (RP)

1.

26 is 5% of what number?

a)

265

b)

20

c)

25.5

d)

520

2.

What is 25% of 200?

a)

25

b)

50

c)

75

d)

100

3.

If 15% of a number is 45, what is the number?

a)

200

b)

250

c)

300

d)

350

4.

A shirt is on sale for 20% off. If the original price is $50, what is the sale price?

a)

$30

b)

$35

c)

$40

d)

$45

5.

A student scored 80% on a test with 50 questions. How many questions did the student answer correctly?

a)

35

b)

40

c)

45

d)

50

6.

If 60% of a class of 30 students are girls, how many girls are in the class?

a)

12

b)

15

c)

18

d)

20

7.

A car's value depreciates by 10% each year. If the car is currently worth $15,000, what will be its value after one year?

a)

$13,500

b)

$14,000

c)

$14,500

d)

$15,000

8.

A recipe requires 250 grams of flour. If you want to increase the recipe by 20%, how much flour will you need?

a)

275 grams

b)

300 grams

c)

325 grams

d)

350 grams

9.

A store increases the price of a product by 15%. If the original price was $80, what is the new price?

a)

$88

b)

$90

c)

$92

d)

$94

10.

A recipe requires $\frac{3}{4}$ cup of sugar for every $\frac{1}{2}$ cup of flour. What is the unit rate of sugar to flour?

a)

$\frac{1}{2}$

b)

$\frac{3}{2}$

c)

$\frac{3}{4}$

d)

$\frac{2}{3}$

11.

A car travels $\frac{5}{6}$ of a mile in $\frac{1}{3}$ of an hour. What is the car's speed in miles per hour?

a)

$\frac{5}{2}$

b)

$\frac{3}{5}$

c)

$\frac{5}{3}$

d)

$\frac{6}{5}$

12.

If $\frac{2}{5}$ of a tank is filled with water in $\frac{1}{4}$ of an hour, what is the rate of filling the tank in tanks per hour?

a)

$\frac{5}{8}$

b)

$\frac{8}{5}$

c)

$\frac{2}{5}$

d)

$\frac{5}{2}$

13.

A painter uses $\frac{1}{3}$ gallon of paint to cover $\frac{1}{6}$ of a wall. What is the unit rate of paint used per wall?

a)

$\frac{1}{2}$

b)

$2$

c)

$\frac{1}{3}$

d)

$3$

14.

A cyclist covers $\frac{7}{8}$ of a mile in $\frac{1}{4}$ of an hour. What is the cyclist's speed in miles per hour?

a)

$\frac{7}{2}$

b)

$\frac{8}{7}$

c)

$\frac{7}{4}$

d)

$\frac{4}{7}$

15.

A baker uses $\frac{5}{6}$ cup of flour to make $\frac{1}{3}$ of a batch of cookies. What is the unit rate of flour per batch?

a)

$\frac{5}{2}$

b)

$\frac{3}{5}$

c)

$\frac{5}{3}$

d)

$\frac{6}{5}$

16.

A car uses $\frac{3}{4}$ gallon of gas to travel $\frac{1}{2}$ mile. What is the unit rate of gas used per mile?

a)

$\frac{3}{2}$

b)

$\frac{2}{3}$

c)

$\frac{1}{2}$

d)

$\frac{4}{3}$

17.

A machine produces $\frac{2}{3}$ of a widget in $\frac{1}{4}$ of an hour. What is the production rate in widgets per hour?

a)

$\frac{8}{3}$

b)

$\frac{3}{8}$

c)

$\frac{2}{3}$

d)

$\frac{3}{2}$

18.

A runner completes $\frac{5}{6}$ of a lap in $\frac{1}{5}$ of an hour. What is the runner's speed in laps per hour?

a)

$\frac{5}{6}$

b)

$\frac{6}{5}$

c)

$\frac{25}{6}$

d)

$\frac{6}{25}$

19.

A chef uses $\frac{1}{2}$ cup of oil to fry $\frac{1}{4}$ pound of chicken. What is the unit rate of oil used per pound of chicken?

a)

$2$

b)

$\frac{1}{2}$

c)

$\frac{1}{4}$

d)

$4$

20.

Find the unit rate of one diaper if a box of 35 diapers costs $6.99.

a)

$244.65

b)

$1.00

c)

$6.99

d)

$0.20

21.

Which is the better buy? a 12 pack of Coke for $3.50 or a six pack of Coke for $1.80?

a)

The 12 pack of Coke

b)

The 6 pack of Coke

c)

Neither

d)

They are the same

22.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$5 per pound

c)

$35 per pound

d)

0.125 pounds per dollar

23.

If Justin can type 408 words in 4 minutes, how many words can he type per minute?

a)

102 words per minute

b)

100 words per minute

c)

400 words per minute

d)

412 words per minute

24.

A cashier at the grocery store rung up 2 customers in 8 minutes. At this rate, how many customers can he ring up in 30 minutes?

a)

16 customers

b)

10.5 customers

c)

7.5 customers

d)

14 customers

25.

After 3 hours, Ernie had travelled 195 miles. If he travels at a constant speed, how far will he have travelled after 5 hours?

a)

400 miles

b)

325 miles

c)

575 miles

d)

650 miles

26.

A unit rate is a rate in which the unit in the denominator is:

a)

0

b)

3

c)

1

d)

2

27.

A car travels 300 miles using 10 gallons of gasoline. What is the unit rate of miles per gallon?

a)

20 miles per gallon

b)

30 miles per gallon

c)

25 miles per gallon

d)

35 miles per gallon

28.

In the equation $y = 5x$ , what is the constant of proportionality?

a)

1

b)

5

c)

$x$

d)

$y$

29.

A graph shows a straight line passing through the origin with a slope of 4. What is the unit rate?

a)

1

b)

2

c)

4

d)

8

30.

If a graph of a proportional relationship passes through the points (0,0) and (5,15), what is the constant of proportionality?

a)

1

b)

2

c)

3

d)

5

31.

A worker is paid $120 for 8 hours of work. What is the unit rate of pay per hour?

a)

$10 per hour

b)

$12 per hour

c)

$15 per hour

d)

$20 per hour

32.

In the equation $y = \frac{1}{4}x$ , what is the constant of proportionality?

a)

$\frac{1}{4}$

b)

4

c)

$x$

d)

$y$

33.

A graph shows a line with a slope of $\frac{1}{2}$ . What is the unit rate?

a)

1

b)

$\frac{1}{2}$

c)

2

d)

4

34.

A car travels 180 miles in 3 hours. What is the constant of proportionality in terms of miles per hour?

a)

30

b)

40

c)

50

d)

60

35.

If a graph of a proportional relationship passes through the points (0,0) and (7,21), what is the unit rate?

a)

1

b)

2

c)

3

d)

4

36.

Identify the constant of proportionality.

a)

k = 2

b)

k = 3

c)

k = 1.50

d)

k = 2/3

e)

none (not proportional)

37.

What is the constant of proportionality?

a)

45 mph

b)

90 mph

c)

135 mph

d)

2 mph

38.

What is the constant of proportionality for the following graph?

a)

80

b)

20

c)

40

d)

160

39.

Identify the constant of proportionality.

a)

k = 5

b)

k = 1/5

c)

k = 1

d)

k = 2.5

e)

none (not proportional)

40.

What is the constant of proportionality?

a)

4

b)

12

c)

3

d)

1/3

41.

Determine the constant of proportionality for the table. Express your answer as y = kx

a)

y = 30k

b)

y = 30x

c)

y = 0.03x

d)

y = 9x

42.

Determine the constant of proportionality for the table. Express your answer as y = kx

a)

y = 1/2x

b)

x = 1/2y

c)

y = 2x

d)

k = x

43.

Determine the constant of proportionality for the table. Express your answer as y = kx

a)

15k

b)

x = 15y

c)

y = 0.06x

d)

y = 15x

44.

Identify the constant of proportionality.

a)

k = 2x

b)

k = 2

c)

k = 4

d)

none (not proportional)

45.

Identify the constant of proportionality.

a)

k = 6

b)

k = 12

c)

k = 1/6

d)

k = 1/12

e)

none (not proportional)

46.

Identify the constant of proportionality.

a)

k = 5

b)

k = 1/5

c)

k = 1

d)

k = 2.5

e)

none (not proportional)

47.

Identify the constant of proportionality.

a)

k = 1/90

b)

k = 90

c)

k = 1/30

d)

k = 30

e)

none (not proportional)

48.

Write an equation for this relationship.

a)

d=18.50c

b)

c=18.50d

c)

c=22.50d

d)

c=22d

49.

Which equation matches the graph?

a)

y = 7x

b)

y = 42x

c)

y = 6x

d)

y = 2x

50.

Which equation matches the graph?

a)

y = 8x

b)

y = 1x

c)

y = 3x

d)

y = 16x

51.

If $y$ is directly proportional to $x$ and $y = 12$ when $x = 4$ , what is the equation that represents this relationship?

a)

$y = 3x$

b)

$y = 4x$

c)

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

d)

$y = \frac{1}{4}x$

52.

Which graph represents a proportional relationship?

a)

A line that passes through the origin with a positive slope.

b)

A line that does not pass through the origin.

c)

A curve that passes through the origin.

d)

A horizontal line.

53.

Given the equation $y = 5x$ , what is the constant of proportionality?

a)

1

b)

5

c)

$\frac{1}{5}$

d)

0

54.

If $y$ is proportional to $x$ and $y = 15$ when $x = 3$ , what is the value of $y$ when $x = 9$ ?

a)

30

b)

45

c)

60

d)

75

55.

Which of the following equations does not represent a proportional relationship?

a)

$y = 2x$

b)

$y = 0.5x$

c)

$y = x + 3$

d)

$y = 3x$

56.

If a car travels at a constant speed and covers 150 miles in 3 hours, what is the equation that represents the distance $d$ traveled in terms of time $t$ ?

a)

$d = 50t$

b)

$d = 150t$

c)

$d = 3t$

d)

$d = \frac{1}{3}t$

57.

What does the point (0, 0) represent on the graph of a proportional relationship?

a)

The starting point where no quantity is present.

b)

The point where the unit rate is 1.

c)

The point where the slope is undefined.

d)

The point where the relationship is non-proportional.

58.

In a proportional relationship, what does the point (1, r) represent?

a)

The point where the relationship starts.

b)

The point where the unit rate is $r$ .

c)

The point where the slope is zero.

d)

The point where the graph intersects the y-axis.

59.

What is the slope of a proportional relationship graph?

a)

The slope is always 0.

b)

The slope is the unit rate $r$ .

c)

The slope is undefined.

d)

The slope is always 1.

60.

If a graph of a proportional relationship passes through the point (3, 9), what is the unit rate?

a)

1

b)

3

c)

9

d)

27

61.

If the graph of a proportional relationship has a slope of 4, what is the y-coordinate of the point (2, y)?

a)

2

b)

4

c)

8

d)

16

62.

What does the point (0, 0) indicate about the quantities in a proportional relationship?

a)

Both quantities are equal.

b)

One quantity is zero while the other is non-zero.

c)

Both quantities are zero.

d)

The quantities are inversely proportional.

63.

If a proportional relationship is represented by the equation $y = 7x$ , what is the slope of the graph?

a)

0

b)

1

c)

7

d)

14

64.

Which of the following statements is true about the graph of a proportional relationship?

a)

It always passes through the point (0, 1).

b)

It always passes through the point (0, 0).

c)

It always passes through the point (1, 0).

d)

It always passes through the point (1, 1).

65.

What does the point (0,0) represent in context of the situation?

a)

No cookies were sold.

b)

No money is made selling cookies.

c)

No money is made when selling two cookies.

d)

No cookies were sold and no money was made.

66.

A Canoe Rental company's prices are represented in the graph. What is the meaning of the point (1, 12)?

a)

The company charges $1 for 1 hour.

b)

The company charges $12 for 1 hour.

c)

The company charges $1 for 12 hours.

d)

The company charges $12 for 12 hours.

67.

Which statement below accurately represents the graph?

a)

$100 is earned for each hour worked

b)

$200 earned for every 2 hours worked
is the unit rate

c)

$500 is earned for every 8 hours worked

d)

$300 is earned after working 4 hours

68.

Which statement matches the graph?

a)

Taylor can write 6 words in 150 minutes

b)

Taylor can write 100 words in 4 minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 2 words in 50 minutes

69.

The graph shows the cost of grapes when purchased by the pound.

What is the cost for 1 pound of grapes?

a)

$0.70

b)

$1.25

c)

$2.00

d)

$1.50

70.

Which equation matches the graph?

a)

y = 8x

b)

y = 1x

c)

y = 3x

d)

y = 16x

71.

What does the coordinate (0,0) represent?

a)

Miguel saved zero dollars at zero months

b)

Nothing

c)

No savings

d)

Miguel is broke

72.

How can you quickly find the unit rate by looking at a graph?

a)

The unit rate is found by adding the values on the graph.

b)

You can find the unit rate by counting the number of points on the graph.

c)

The unit rate is determined by the area under the graph.

d)

The unit rate can be found looking at point (1, r) where r is the unit rate.

73.

Which of the following pairs of ratios are equivalent?

a)

$\frac{2}{3}$ and $\frac{4}{6}$

b)

$\frac{3}{4}$ and $\frac{6}{9}$

c)

$\frac{5}{7}$ and $\frac{10}{15}$

d)

$\frac{1}{2}$ and $\frac{3}{5}$

74.

If a table shows the following values for $x$ and $y$ : $(1, 2)$ , $(2, 4)$ , $(3, 6)$ , $(4, 8)$ , is the relationship between $x$ and $y$ proportional?

a)

Yes, because the ratios $\frac{y}{x}$ are equivalent.

b)

No, because the ratios $\frac{y}{x}$ are not equivalent.

c)

Yes, because the graph is a curve.

d)

No, because the graph is a straight line.

75.

Which graph represents a proportional relationship?

a)

A straight line that passes through the point (0, 1).

b)

A straight line that passes through the origin (0, 0).

c)

A curved line that passes through the origin (0, 0).

d)

A horizontal line.

76.

Given the table below, determine if the relationship is proportional: | $x$ | $y$ | |-----|-----| | 1 | 3 | | 2 | 6 | | 3 | 9 | | 4 | 12 |

a)

Yes, because the ratios $\frac{y}{x}$ are equivalent.

b)

No, because the ratios $\frac{y}{x}$ are not equivalent.

c)

Yes, because the graph is a curve.

d)

No, because the graph is a straight line.

77.

If the ratio of $a$ to $b$ is 4:5, which of the following is an equivalent ratio?

a)

8:10

b)

5:4

c)

12:15

d)

10:8

78.

A graph shows a line passing through the points (0, 0) and (3, 6). Is this a proportional relationship?

a)

Yes, because the line passes through the origin.

b)

No, because the line does not pass through the origin.

c)

Yes, because the line is horizontal.

d)

No, because the line is vertical.

79.

Which of the following tables represents a proportional relationship? | $x$ | $y$ | |-----|-----| | 1 | 2 | | 2 | 4 | | 3 | 6 | | 4 | 8 |

a)

Yes, because the ratios $\frac{y}{x}$ are equivalent.

b)

No, because the ratios $\frac{y}{x}$ are not equivalent.

c)

Yes, because the graph is a curve.

d)

No, because the graph is a straight line.

80.

Which of the following graphs does not represent a proportional relationship?

a)

A straight line through the origin.

b)

A straight line through (0, 2).

c)

A straight line through the origin with a positive slope.

d)

A straight line through the origin with a negative slope.

81.

Which equation does not represent a proportional relationship?

a)

$y = 4x$

b)

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

c)

$y = x + 2$

d)

$y = 0.75x$

82.

A table shows the following values for $x$ and $y$ : $(1, 5)$ , $(2, 10)$ , $(3, 15)$ , $(4, 20)$ . Is the relationship between $x$ and $y$ proportional?

a)

Yes, because the ratios $\frac{y}{x}$ are equivalent.

b)

No, because the ratios $\frac{y}{x}$ are not equivalent.

c)

Yes, because the graph is a curve.

d)

No, because the graph is a straight line.

83.

Which of the following pairs of ratios are not equivalent?

a)

$\frac{3}{5}$ and $\frac{6}{10}$

b)

$\frac{4}{7}$ and $\frac{8}{14}$

c)

$\frac{5}{8}$ and $\frac{10}{16}$

d)

$\frac{2}{3}$ and $\frac{5}{8}$

84.

Which graph represents a non-proportional relationship?

a)

A straight line through the origin.

b)

A straight line through (0, 1).

c)

A straight line through the origin with a positive slope.

d)

A straight line through the origin with a negative slope.

85.

If a table shows the following values for $x$ and $y$ : $(1, 3)$ , $(2, 6)$ , $(3, 9)$ , $(4, 12)$ , is the relationship between $x$ and $y$ proportional?

a)

Yes, because the ratios $\frac{y}{x}$ are equivalent.

b)

No, because the ratios $\frac{y}{x}$ are not equivalent.

c)

Yes, because the graph is a curve.

d)

No, because the graph is a straight line.

86.

Is this a proportional relationship?

a)

yes

b)

no

87.

Is this a proportional relationship?

a)

yes

b)

no

88.

Is this a proportional relationship?

a)

yes

b)

no

89.

Is the relationship between time and distance proportional or not proportional?

a)

proportional

b)

not proportional

90.

Is the relationship between games and total cost proportional or not proportional?

a)

proportional

b)

not proportional

91.

Is the relationship between pounds of nuts and pounds of dried fruit proportional or not proportional?

a)

proportional

b)

not proportional

92.

Is this a proportional relationship?

a)

yes

b)

no

93.

Is this a proportional relationship?

a)

yes

b)

no

94.

Is this a proportional relationship?

a)

yes

b)

no

95.

Is this a proportional relationship?

a)

yes

b)

no

96.

Which of the following is a proportional relationship?

a)

b)

c)

d)

97.

Which of the following is not a proportional relationship?

a)

b)

c)

d)

7 UNIT TEST 2 (RP)

Total questions: 97

Worksheet time: 2hrs 15mins

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