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Proportions and GET Algebra Benchmark Review

Total questions: 69

Worksheet time: 1hrs 4mins

Name
Class
Date
1.
A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?
a)
2 to 5
b)
5 to 3
c)
3 to 5
d)
5 to 2
2.
In the fruit bowl there are 4 apples, 2 bananas, and 5 pears.  What is the ratio of pears to ALL fruit?
a)
5:4
b)
5:11
c)
2:5
d)
6:5
3.
What is the ratio of triangles to squares?
a)
2:6
b)
5:6
c)
3:4
d)
4:3
4.

Ms. Patten has 20 soccer balls and 12 cones. What is the ratio of cones to soccer balls?

a)

20 to 12

b)

20 to 32

c)

13 to 32

d)

12 to 20

5.

What is the ratio of red dots to total dots

a)

6:5

b)

5 to 6

c)

5:11

d)

11/5

6.

A store has 120 customers in 6 hours. What is the unit rate in customers per hour?

a)

16 customers per hour

b)

12 customers per hour

c)

20 customers per hour

d)

15 customers per hour

7.

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

a)

$8 per pound

b)

$35 per pound

c)

$5 per pound

d)

$0.125 per pound

8.

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

9.

If Antonia can type 408 words in 4 minutes, how many words can she type per minute?

a)

408 words per minute

b)

100 words per minute

c)

400 words per minute

d)

102 words per minute

10.

It cost me $46.80 to fill my 13-gallon gas tank. What was the price of gas per gallon?

a)

$3.60

b)

$3.55

c)

$3.40

d)

$3.50

11.

You're throwing a party, and you ordered 15 pizzas for your guests. Your total came to $97.50. What was your unit cost per pizza?

a)

$4.95 per pizza

b)

$5.75 per pizza

c)

$7.25 per pizza

d)

$6.50 per pizza

12.

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

a)

0

b)

3

c)

1

d)

2

13.

You go to the grocery store to buy dog food. The store has three sizes available:


A 20-lb bag for $23.44

An 8-lb bag for $9.88

A 40-lb bag for $49.00


Which size bag has the lowest cost per pound rounded to the nearest cent?

a)

The 8-lb bag

b)

The 20-lb bag

c)

The 40-lb bag

d)

I have a cat

14.

Lynnette can wash 95 cars in 5 days. How many cars does she wash each day?

a)

475 cars per day

b)

19 cars per day

c)

.05 cars per day

d)

15 cars per day

15.
A unit rate is a ratio in fraction form that has a _____________________________ of 1.
a)
numerator
b)
bottom number
c)
fraction
d)
denominator
16.
Sargento cheese slices $2.48 for 10 slices
or
Velveeta Cheese slices $3.18 for 12 slices
Find the unit price for each and choose the better deal.
a)
Sargento
b)
Velveeta
17.
Kyle entered a pie eating contest.  He took 1/5 of a minute to eat 1/2 of a pie.  How many pies can Kyle eat per minute?
a)
2 and 1/2 minutes per pie
b)
2/5 of a minute per pie
c)
2 and 1/2 pies per minute
d)
2/5 of a pie per minute
18.
Jada can read 3/5 of a book in 1/4 of an hour.  How long would it take her to read one whole book?
a)
2 and 2/5 books per hour
b)
2 and 2/5 hours per book
c)
5/12 of an hour per book
d)
5/12 of a book per hour
19.
Ben drinks tea at a relatively quick rate.  He drinks 1/2 liter of tea every 2/3 of an hour.  How much tea does Ben drink per hour?
a)
1 and 1/3 of an hour per liter
b)
3/4 of a liter per hour
c)
1 and 1/3 liter per hour
d)
3/4 of an hour per liter
20.
Alycia earned $20.40 in 3 hours. What is her unit rate in dollars per hour?
a)
$7 per hour
b)
$6 per hour
c)
$6.80 per hour
d)
$17.40 per hour
21.
If a cupcake has 240 calories for 3 servings, how many calories for 5 servings?
a)
80 calories
b)
400 calories
c)
46 calories
d)
144 calories
22.
Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?
a)
8 min
b)
9 min
c)
16 min
d)
18 min
23.
Hamburger sells for 3 pounds for $6. If Alicia buys 10 pounds of hamburger, how much will she pay?
a)
$30
b)
$60
c)
$10
d)
$20
24.
Solve the proportion:
a)
4
b)
8
c)
14
d)
10
25.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
26.
Does this graph represent a proportional relationship?
a)
Yes 
b)
No
27.
Write and equation in the form of y=kx for a line that passes through the ordered pair (3,9).
a)
y=1/3X
b)
y=6x
c)
y=3x
d)
y=9x
28.
Cookie Monster makes the perfect cookies. He uses 2 cups of chocolate chips for every 3 dozen cookies. If he makes 54 cookies, how many cups of chocolate chips does he need?
a)
3 cups
b)
16 cups
c)
32 cups
d)
48 cups
29.

What is a Ratio?

a)

Is a comparison of two quantities

b)

To multiply two fractions

c)

Strictly a fraction

d)

Two decimals that can be multiplied

30.
What letter stands for "constant of proportionality"?
a)
y
b)
x
c)
b
d)
k
31.
What are the two rules that make a graph proportional?
a)
Straight Line and goes through the Origin
b)
Straight Line and is very steep
c)
Curved Line and goes through the origin
d)
Passes through the point (1,0) and is a straight line
32.
Is the graph proportional or non proportional?
a)
Proportional
b)
Non-Proportional
33.
Which statement best describes the relationship of x and y in the table?
a)
Proportional
b)
Not Proportional
34.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
35.
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
36.
Solve for x 
a)
x = 6
b)
x = 25
c)
x = 28
d)
x = 17
37.
Why does this graph show a non-proportional relationship?
a)
It doesn't, it is proportional because it is a straight line
b)
It goes through the origin
c)
It does not go through the origin
d)
It is a straight line
38.

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

a)

y

b)

x

c)

14

d)

y=14x

39.

Janet used 155 beads to create 5 necklaces. What is the constant of proportionality of beads per necklace

a)

31

b)

775

c)

160

d)

150

40.

Write the equation for the table given

a)

y = 1/3x

b)

y = 3x

c)

y = 3

d)

x = 3y

41.

Ben earns extra money as a painter. He earns $41 for 4 hours and $71.75 for 7 hours. What is the constant of proportionality of dollars per hour?

a)

$37

b)

$64.75

c)

$10.25

d)

$18.50

42.

What is the constant of proportionality?

a)

1

b)

2

c)

3

d)

4

43.
What is the equation for the graph?
a)
y=46x
b)
x=46y
c)
y=92x
d)
x=92y
44.
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
45.
On a map, if one centimeter represents 25 kilometers, how many kilometers does 7 centimeters represent?
a)
175
b)
185
c)
200
d)
220
46.
Hamburger sells for 3 pounds for $6. If Alicia buys 10 pounds of hamburger, how much will she pay?
a)
$30
b)
$20
c)
$60
d)
$10
47.
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?
a)
2.5 cups milk
b)
1.75 cups milk
c)
2 cups flour
d)
2.25 cups milk
48.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
49.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
50.
A scale drawing of a billboard uses the scale 4 cm:9 ft. The length of the billboard in the drawing is 11 cm. How long is the actual billboard?
a)
13 ft
b)
20.75 ft
c)
24.75 ft
d)
22 ft
51.
There were 5 ice cream cones for every 3 brownies sold at the ice cream shop. If there were 24 brownies sold, how many ice cream cones were sold?
a)
8
b)
15
c)
40
d)
29
52.
In an animal shelter, the ratio of cats to dogs is 3 to 5. If there are a total of 25 dogs at the shelter, how many cats do they have?
a)
15
b)
18
c)
21
d)
32
53.
Mason ran 3 miles in 20 minutes. What is his unit rate of miles per hour?
a)
400 miles per hour
b)
9 miles per hour
c)
20 miles per hour
d)
6.67 miles per hour
54.
The distance that an automobile travels varies directly as the time it travels. If the car travels 280 miles in 7 hours, how far will it travel in 12 hours?
a)
480
b)
1960
c)
84
d)
25
55.
What is the constant of proportionality?
a)
8
b)
16
c)
24
d)
2
56.
Which equation shows a NON-proportional relationship of x and y?
a)
y = 5x
b)
y = 2.5x
c)
y = x + 3
d)
y = 1/2x
57.
Write an equation for this situation.
a)
y=9.75x
b)
y=19x
c)
y=19.25x
d)
y=9.5x
58.
What is the unit rate for the rain fall?
a)
2 cm per hour
b)
1 cm per hour
c)
1/2 cm per hour
d)
4 cm per hour
59.
How do you write an ordered pair?
a)
(X,X)
b)
(Y,X)
c)
(X,Y)
d)
(Y,Y)
60.
Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours.  What is the constant of proportionality (how much did he make per hour)?
a)
$37
b)
$64.75
c)
$9.25
d)
$18.50
61.

What is the Constant of Proportionality (in miles per hour) based on the table?

a)

45

b)

90

c)

135

d)

2

62.
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)
$200 is earned after working 3 hours
63.
Which is the better deal?
Round to the nearest hundredth!
a)
Cheerios
b)
Apple Jacks
64.
What is the total cost of tickets if there are 7 adults?
a)
$600
b)
$75
c)
$500
d)
$525
65.
Choose the best explaination
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
66.
Write an equation for this relationship.
a)
y=18x
b)
y=18.50x
c)
y=22.50x
d)
y=22x
67.

If an equation is proportional, then it is written in the form....

a)

y= mx + b

b)

y = kx

68.

How do you know if a graph is proportional?

a)

The graph is a straight line.

b)

The graph is a straight line that passes through the origin.

c)

The line passes through the origin.

d)

The graph is a curved line that does NOT pass through the origin.

69.

Which graph shows a proportional relationship?

a)
b)
c)
d)

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