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Proportions Study Guide

Total questions: 70

Worksheet time: 3hrs 23mins

Name
Class
Date
1.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

2.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

3.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

4.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

5.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

6.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

7.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

8.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

9.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

10.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

11.

In the equation y = 14x, what is the constant of proportionality?

a)

y

b)

x

c)

14

d)

y=14x

12.

What is the constant of proportionality?

a)

1

b)

2

c)

3

d)

4

13.
 Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
c)
4
d)
C.O.P.
14.
Does this graph represent a proportional relationship?  
a)
No, because it doesn't pass through the origin.
b)
Yes, because it doesn't pass through the origin.
c)
Yes, because it intersects the y axis.
d)
No, because it intersects the x axis.
15.

Is this table proportional?

a)

yes because it will go through the origin and is a straight line

b)

no because the C.O.P. for each line is different

c)

yes because it increases by 1

d)

no because there is no origin

16.

What is the constant of proportionality of money per hour?

a)

$3

b)

$4

c)

$2

d)

$9

17.
What is the equation for the graph?
a)
y=46x
b)
x=46y
c)
y=92x
d)
x=92y
18.
What does the point (2,4) represent?
a)
They get 2 cm of rain in 4 hours
b)
In 2 hours it rains 4 cm
c)
1/2 cm per hour
d)
1/2 hour per 1 cm of rain
19.

The distance a bicyclist travels is proportional with the number of hours. Using a proportion, solve for how long it will take to travel 228 miles

a)

19

b)

1.5833333

c)

57

d)

21.2

20.
Is the graph proportional or non proportional?
a)
Proportional
b)
Non-Proportional
21.
REVIEW QUESTION
Which best describes the graph represented in this table?
a)
 proportional
b)
non-proportional
22.
The graph shows the water level as a bathtub fills.  Select the correct choice that describes this graph.
a)
The graph is proportional because the y to x ratio is constant (the same).
b)
The graph is non-proportional because it does not pass through the origin (0,0).
c)
The graph is proportional because it is linear (a straight line).
d)
The graph is non-proportional because it is linear (a straight line).
23.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
24.
Is this table proportional?
a)
Yes
b)
No
25.
About 13 out of 20 homes have a personal computer. On a street with 60 homes, how many computers would you expect to have?
a)
39 Computers
b)
4.3 Homes
c)
39 Homes
d)
4.3 Computers
26.
A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-ounce package?
a)
75 Pieces
b)
27-ounces
c)
27 pieces
d)
75-ounces
27.
Solve for x 
a)
x = 98/5
b)
x = 5/98
c)
x = 101/5
28.
The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 240 people are in line?
a)
32 People
b)
32 Min.
c)
12.5 Min.
d)
12.5 People
29.
Solve for x 
a)
x = 6
b)
x = 25
c)
x = 28
d)
x = 17
30.
Solve for x 
a)
x = 16
b)
x = 28
c)
x = 1/26
d)
x = 26
31.
What is a proportion?
a)
When two ratios can be simplified
b)
When two ratios are equivalent and show the same value
c)
When two ratios have the exact same numbers
d)
When two ratios can be multiplied by 2
32.
Solve the proportion.
a)
10.8
b)
7.5
33.
Tickets to Disney World are $100.The price is going to increase on January 1. What is the percent of change if the cost increases to a $120?
a)
25%
b)
18%
c)
20%
d)
50%
34.

Last year the enrollment at Clark Middle School was 465 students. This year the enrollment is 525 students. What is the percent of increase? Round to the nearest percent.

a)

113%

b)

100%

c)

13%

d)

87%

35.

In a library there are 120 new books. 35 books are fictions, 25 books are biography, and the rest are children books. What percentage of the new books are children books?

a)

45%

b)

70%

c)

30%

d)

50%

36.

What is 30% of 450?

a)

30

b)

135

c)

450

d)

100

37.
What percent of 25 is 60?
a)
24%
b)
2.4
c)
240%
d)
100%
38.

82% of what is 95?

a)

115.9

b)

77.9

c)

100

d)

112

39.

Jason spends $450 for transportation. This is 25% of his monthly salary . How much money did he earn each month?

a)

$1800

b)

$800

c)

$900

d)

$1000

40.

While mining, John found a large metal bar that weighed 25 ounces. John was also able to determine that the bar had 15 ounces of lead. What percent of the weight of the bar was lead?

a)

40%

b)

50%

c)

60%

d)

70%

41.

A jogging route is 10km long. Zaman has jogged 4km. What percentage of the route has Zaman jogged?

a)

4%

b)

10%

c)

80%

d)

40%

42.
The regular price of a scooter is $65.50. It is on sale for $52.40. What is the percent decrease from the regular price to the sale price of the scooter? 
a)
35%
b)
25%
c)
30%
d)
20%
43.

What percent of 96 is 88?

a)

91.7%

b)

109%

c)

84.5%

d)

88%

44.

Find the percent of change from 48 to 36.

(a)  

45.

A local bakery sold 50 loaves of bread in one day. If 70% of these were sold in the afternoon, how many loaves were sold in the afternoon?

(a)  

46.

Last school year the enrollment of E.O Green junior high school was 1275 students. This year the enrollment is 1350. Find the percent of change. Round your answer to the nearest whole percent AND include whether it is an increase or a decrease.

(a)  

47.
200 children attended the school play. Of the total attendance, 40% were boys. How many girls attended the school play?
a)
800
b)
180
c)
80
d)
120
48.
 Shirley spelled 12 of her 15 spelling words correctly on the test.  What percent grade did Shirley get on the test?
a)
40%
b)
50%
c)
80%
d)
60%
49.
Sam bought an $85.00 jacket for 40% off of the regular price.  How much did he pay for the jacket? 
a)
75
b)
51
c)
36
d)
34
50.
You are purchasing a T.V for $990 T.V with 9% sales tax. What is the final price of the T.V.?
a)
$ 1881.00
b)
$ 1079.00
c)
$ 1,079.10
d)
$ 1,709.1
51.
Sales tax is __________ to the price
a)
subtracted
b)
added
c)
multiplied
d)
divided
52.
Bill:  $25
Percentage of tip:  20%
Tip????
a)
$6.00
b)
$5.00
c)
$2.50
d)
$4.00
53.

Discount is ____________ from the price.

a)

added

b)

divided

c)

subtracted

54.
Daniel has dinner at a restaurant and the cost of his meal is $28.00. Because of the service, he wants to leave a 20% tip. What is his total bill including tip?
a)
33.60
b)
40.00
c)
24.60
d)
30.50
55.
Do you add or subtract for a discount?
a)
add
b)
subtract
c)
multiply
d)
divide
56.
When finding the cost of a meal, you have to _____ the amount of the tip to the original amount of the bill.
a)
Add
b)
Subtract
c)
Multiply
57.
When an item is being discounted, you have to __________ the amount of the discount to the original item amount.
a)
Add
b)
Subtract
c)
Multiply
58.
A cell phone regularly sells for $210 is on sale for 30% off. With this discount, find the sale price. Round to nearest cent if necessary.
a)
$.63
b)
$273
c)
$63
d)
$147
59.
How much would the tip be if you left 18% on a $75.45 steak dinner?
a)
$ 13.58
b)
$ 89.03
c)
$ 61.87
d)
$135.80
60.
Sally went to the clearance rack at a department store and found a shirt she wanted to buy.  The shirt was $36.00 and is on sale for $24.00.  What is the percent of the decrease?
a)
33%
b)
67%
c)
50%
d)
34%
61.
Tickets to Disney World are $100. The price is going to increase on January 1. What is the percent of change if the cost increases to a $120?
a)
25%
b)
18%
c)
20%
d)
50%
62.

Find the cost of a comic book for $3.95 with a markup of 20%

a)

$0.80

b)

$0.79

c)

$4.74

d)

$4.75

63.

Find the cost of an oil change for $18 with a markup of 70%

a)

$30.60

b)

$31.00

c)

$12.60

d)

$13.00

64.

Your food bill at a restaurant was $23.50. You leave a 15% tip. What is the total cost of your meal?

a)

$27.03

b)

$3.53

c)

$3.52

d)

$27.02

65.
Find the total earnings:
Commission Rate: 5.5%
Sales: $18,200
a)
$1001
b)
$10,010
66.

Find the value of k , the constant proportionality.

a)

8

b)

16

c)

6

d)

3

67.
Is this graph proportional?
a)
Yes
b)
No
68.

What is the value of k. the constant Proportionality for this table?

a)

1/9

b)

9

c)

8

69.

Write a proportion with the following numbers. Select all correct answers.

15, 9, 27, 45

a)

15:45=9:27

b)

9:45=15:27

c)

9:15=27:45

d)

45:15=9:27

e)

27:9=45:15

70.

Write a proportion with the following numbers. Select all correct answers.

24, 64, 8, 3

a)

3:8=24:64

b)

8:24=3:64

c)

64:8=24:3

d)

8:3=24:64

e)

3:24=8:64

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