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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
170 students for 5 teachers
For the proportion, find the unknown number n.
One pound of a product yields 31
3 cups. How many pounds of this product will be required by a
recipe that calls for 5 cups of the product?
Write each ratio or rate as a fraction in simplest form.
6 inches of rain in 32 days
Fill in the blank with one of the words or phrases listed below.
not equal equal cross products rate
unit rate ratio unit price proportion
A(n) is used to compare different kinds of quantities.
Write the ratio using fractional notation. Do not simplify.
On an architect’s blueprint, 1 inch corresponds to 4 feet. If an exterior wall is 20 feet long, find how
long the blueprint measurement should be. Write answer as a mixed number if necessary.
Write the rate as a unit rate.
Find the ratio described as a fraction in simplest form.
A grocer will refuse a shipment of mangos if the ratio of bruised mangos to the total batch is at least
1 to 8. A sample is found to contain 19 bruised mangos and 132 good mangos. Determine whether
the shipment should be refused.
Yes, the shipment should be refused.
No, the shipment should not be refused.
Determine whether the proportion is true.
The gasoline/oil ratio for a certain leaf blower is 20 to 1. If 1 gallon equals 128 fluid ounces, how
many fluid ounces of oil should be mixed with 4 gallons of gasoline? Round the answer to the
nearest whole ounce.
For the proportion, find the unknown number n.
It takes Sarah 26 minutes to type and spell check 6 pages of a manuscript. Find how long it takes
her to type and spell check 21 pages. Round answers to the nearest whole number if necessary.
For the proportion, find the unknown number n.
Write the sentence as a proportion. Then determine whether the proportion is true or false.
fourteen hundredths is to two as thirty–five hundredths is to five
For the proportion, find the unknown number n.
The adult daily dosage for a certain medicine is 100 mg (milligrams) for every 25 pounds of body
weight. If the patient weighs 150 pounds and he is to receive a dose of this medicine every 6 hours,
find the amount of medicine he should receive in each dose.
Fill in the blank with one of the words or phrases listed below.
not equal equal cross products rate
unit rate ratio unit price proportion
In the proportion x
2=7
16, x · 16 and 2 · 7 are called .
For the proportion, find the unknown number n.
Find the ratio described as a fraction in simplest form.
Find the ratio of the longest side to the perimeter of the right triangle.
135 m
159 m 84 m
Determine whether the proportion is true or false.
C
For the proportion, find the unknown number n.
The standard dose of medicine for a dog is 10 grams for every 15 pounds of body weight. What is
the standard dose for a dog that weighs 55 pounds?
Find the ratio described as a fraction in simplest form.
Find the ratio of the width to the perimeter of the rectangular swimming pool sketched below.
width =10 meters
length =19 meters
It is recommended that there be at least 11.2 square feet of floor space in a classroom for every
student in the class. Find the minimum floor space that 46 students require. Round to the nearest
tenth if necessary.
It takes Frank 8 minutes to type and spell check 6 pages. Find how many pages he can type and
spell check in 4.5 hours. Round answers to the nearest tenth if necessary.
Write the rate as a unit rate.
Find which is the better buy (lower cost per ounce) by finding each unit price rounded to three
decimal places if necessary. Assume that different sizes of the same brand are being compared.
Shampoo:
$1.41 for 6 ounces
$2.35 for 10 ounces
Both cost the same per ounce.
The scale on a map states that 1 centimeter corresponds to 20 kilometers. On the map, two cities are
7 cm apart. Find the actual distance.
Determine whether the proportion is true or false.
Write the sentence as a proportion.
13 miles is to 41
4 hours as 52 miles is to 17 hours
13 miles
17 hours =52 miles
41
4 hours
41
4 hours
13 miles =52 miles
17 hours
13 miles
52 miles =
41
4 hours
17 hours
13 miles
41
4 hours =52 miles
17 hours
Write the rate as a unit rate.
A concert tour grossed $120,000 for 5 shows.
Currently 21 out of every 50 American adults drink coffee every day. In a town with a population
of 7700 adults, how many of these adults would you expect to drink coffee every day?
Find the ratio described as a fraction in simplest form.
Residents in a small town eat an average 10 hamburgers per month at neighborhood barbecues.
Residents of a large city eat an average 5hamburgers per month at neighborhood barbecues. Find
the ratio of the number of hamburgers eaten by small town residents to the amount eaten by large
city residents.
Write the rate as a unit rate.
An animal can move at 1440 feet per hour. Write this rate in feet per minute.
Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form.
The ratio of a basketball player’s completed free throws to attempted free throws is 3 to 5. If she
completed 6 free throws, find how many free throws she attempted. Round to the nearest whole
number if necessary.
Determine whether the proportion is true or false.
Find the ratio described as a fraction in simplest form.
Find the ratio of the width to the length of the rectangular dog run sketched below.
width =14 meters
length =20 meters
Write the rate as a fraction in simplest form.
Write the rate as a unit rate.
James Saltwood can paint 143 doors in 8 hours, while Ian Kepler can paint 40 doors in 3 hours. Who
can paint doors faster, James or Ian?
Write the rate as a fraction in simplest form.
For the proportion, find the unknown number n.
A can of lemonade comes with a measuring scoop and directions for mixing are 4 scoops of mix for
every 32 cups of water. How much water is needed to make the entire can of lemonade if there are
40 scoops of mix?
A baseball player makes 3 hits in every 7 times at bat. At this rate, if he made 18 hits, find how
many times he batted.
Find which is the better buy (lower cost per ounce) by finding each unit price rounded to three
decimal places if necessary. Assume that different sizes of the same brand are being compared.
Crackers:
$1.47 for 21 ounces
$1.44 for 18 ounces
Both cost the same per ounce.
Write the rate as a fraction in simplest form.
408 employees for 16 companies
408 employees
2 companies
51 employees
16 companies
Find the ratio described as a fraction in simplest form.
In a large triathlon, 709 males and 287 females finished the race. Find the ratio of female finishers to
male finishers.
Find which is the better buy (lower cost per ounce) by finding each unit price rounded to three
decimal places if necessary. Assume that different sizes of the same brand are being compared.
Popcorn:
$6.58 for 10 ounces
$3.90 for 6 ounces
Both cost the same per ounce.
Determine whether the proportion is true or false.
For the proportion, find the unknown number n.
The ratio of a quarterback’s completed passes to attempted passes is 9 to 10. If he attempted
50 passes, find how many passes he completed. Round to the nearest whole number if necessary.
Write the rate as a unit rate.
An extreme bicyclist pedaled 4080 miles on a 24 day trip. Write this rate in miles per day.
Find the ratio described as a fraction in simplest form.
According to an organization’s membership list, it has 1050 members who are married and
600 members who are single. What is the ratio of members who are married to members who
are single?
Fill in the table to calculate miles per gallon.
Beginning
Odometer
Reading
Ending
Odometer
Reading
Miles
Driven Gallons of
Gas Used Miles
Per Gallon
(round to the
nearest tenth)
53,335 53,743 15.1
miles driven: 107,078; miles per gallon: 7091.3
miles driven: 408; miles per gallon: 27
miles driven: 408; miles per gallon: 6160.8
miles driven: 107,078; miles per gallon: 27
Write the ratio using fractional notation. Do not simplify.
Write the rate as a unit rate.
299 cars in 230 households
Write the sentence as a proportion.
45 robins is to 5 cardinals as 72 robins is to 8 cardinals
45 robins
5 cardinals =8 robins
72 cardinals
45 robins
8 cardinals =72 robins
5 cardinals
45 robins
5 cardinals =72 robins
8 cardinals
45 robins
72 cardinals =5 robins
8 cardinals
4 diamonds is to 11 rubies as 36 diamonds is to 99 rubies
4 diamonds
11 rubies =36 diamonds
99 rubies
36 diamonds
11 rubies =99 diamonds
4 rubies
4 diamonds
11 rubies =99 diamonds
36 rubies
4 diamonds
36 rubies =11 diamonds
99 rubies
Determine whether the proportion is true or false.
Fill in the blank with one of the words or phrases listed below.
not equal equal cross products rate
unit rate ratio unit price proportion
A(n) is a rate with a denominator of 1.
Find the unknown number n in the proportion.
Three out of 10 adults in a certain city buy their drugs at large drug stores. If this city has 138,000
adults, how many of these adults would you expect to buy their drugs at large drug stores?
Write the rate as a unit rate.
A large charity organization receives $33,295,600 in annual donations to fund the 52 programs it
sponsors.
Determine whether the proportion is true.
Find the unknown number n in the proportion.
Write the ratio using fractional notation. Do not simplify.
On an architect’s blueprint, 1 inch corresponds to 4 feet. If an exterior wall is 6 feet long, find how
long the blueprint measurement should be. Write answer as a mixed number if necessary.
Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form.
Fill in the blank with one of the words or phrases listed below.
not equal equal cross products rate
unit rate ratio unit price proportion
If cross products are the proportion is false.
Write the rate as a fraction in simplest form.
Determine whether the proportion is true or false.
Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form.
Write the sentence as a proportion.
4.4 gallons is to 3.5 minutes as 13.2 gallons is to 10.5 minutes
4.4 gallons
3.5 minutes =13.2 gallons
10.5 minutes
4.4 gallons
10.5 minutes =3.5 gallons
13.2 minutes
3.5 gallons
4.4 minutes =13.2 gallons
10.5 minutes
4.4 gallons
13.2 minutes =3.5 gallons
10.5 minutes
Fill in the blank with one of the words or phrases listed below.
not equal equal cross products rate
unit rate ratio unit price proportion
x
2=7
16 is an example of a(n) .
Write the sentence as a proportion.
12 children is to 33 bicycles as 4 children is to 11 bicycles
4 children
33 bicycles =11 children
12 bicycles
12 children
4 bicycles =33 children
11 bicycles
12 children
33 bicycles =4 children
11 bicycles
12 children
33 bicycles =33 children
4 bicycles
A high school student created a remote control car that can travel 60 feet in 5 seconds.
For the proportion, find the unknown number n.
Write the sentence as a proportion.
$14 is to 35 bottles as $8 is to 20 bottles
$14
20 bottles =$8
35 bottles
$14
35 bottles =$8
20 bottles
$14
8 bottles =$35
20 bottles
$35
14 bottles =$8
20 bottles
A bag of fertilizer covers 2500 square feet of lawn. Find how many bags of fertilizer should be
purchased to cover a rectangular lawn 330 feet by 190 feet.
Find the unknown number n in the proportion.
Find the distance that will allow the board to balance.
8 feet x feet
35 pounds 45 pounds
8 inches of rain after 10 hours
Write each ratio or rate as a fraction in simplest form.
Find the unknown number n in the proportion.
Write the rate as a unit rate.
215 miles on 5 gallons of gas
Decide which is the better buy.
Frozen orange juice:
28 ounces for $1.79
12 ounces for $0.85
Both cost the same per ounce.
Write the rate as a unit rate.
A state in the United States has 162,771 residents living in 23 counties.
Write each ratio or rate as a fraction in simplest form.
Write the sentence as a proportion.
3 tbsp of hot cocoa mix is to 1.5 cups of hot cocoa as 21 tbsp of hot cocoa mix is to 10.5 cups of hot
cocoa.
3 tbsp hot cocoa mix
1.5 cups hot cocoa =21 tbsp hot cocoa mix
10.5 cups hot cocoa
3 tbsp hot cocoa mix
21 tbsp hot cocoa mix
3 tbsp hot cocoa mix
21 tbsp hot cocoa mix =1.5 cups hot cocoa
10.5 cups hot cocoa
1.5 cups hot cocoa
10.5 cups hot cocoa
Find the ratio described as a fraction in simplest form.
According to an organization’s membership list, it has 2750 members who have cable TV and
1000 members who don’t have cable. What is the ratio of members who don’t have cable to the total
number of members?
For the proportion, find the unknown number n.
A punch recipe calls for mixing 5 parts of orange juice with 2 parts of lemon juice. Find how much
orange juice should be mixed with 40 ounces of lemon juice.
Write each ratio or rate as a fraction in simplest form.
It is recommended that there be at least 13 square feet of work space for every person in a
conference room. A certain conference room is 17‘ by 18‘. Find the maximum number of people the
room can accommodate.
Find the ratio described as a fraction in simplest form.
Find the ratio of the shortest side to the perimeter of the right triangle.
36 m
39 m 15 m
For the proportion, find the unknown number n.
Yearly homeowner property taxes are figured at a rate of $1.55 tax for every $100 of home value.
Find the property taxes on a townhouse valued at $131,000.
Determine whether the proportion is true or false.
Richard Saltwood’s car averages 288 miles on its 16–gallon tank of gas. If Richard runs out of gas
and a mechanic comes to his rescue with 41
2 gallons of gas, determine how far his car can go.
Round to the nearest mile.
Find the ratio described as a fraction in simplest form.
In a region consisting of 50 school districts, a total of 28 districts have 250 or more computers
available for student use. Find the ratio of districts with 250 or more computers to districts with
fewer than 250 computers.
Write the rate as a unit rate.
Write the rate as a fraction in simplest form.
Decide which is the better buy.
Popcorn:
14 ounces for $5.01
16 ounces for $5.60
Both cost the same per ounce.
Write the sentence as a proportion. Then determine whether the proportion is true or false.
ten is to fifteen as six is to nine
For the proportion, find the unknown number n.
Fill in the blank with one of the words or phrases listed below.
not equal equal cross products rate
unit rate ratio unit price proportion
A(n) is the quotient of two numbers. It can be written as a fraction, using a colon, or
using the word to.
Determine whether the proportion is true or false.
Write each ratio or rate as a fraction in simplest form.
Write the sentence as a proportion.
31
5 cups of chocolate chips is to 18 cookies as 62
5 cups of chocolate chips is to 36 cookies.
31
5 cups chocolate chips
62
5 cups chocolate chips =18 cookies
36 cookies
31
5 cups chocolate chips
18 cookies =
62
5 cups chocolate chips
36 cookies
31
5 cups chocolate chips
62
5 cups chocolate chips
Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form.
Determine whether the proportion is true or false.
Write the ratio using fractional notation. Do not simplify.
Write the rate as a fraction in simplest form.
35 printers for 42 computers
Find the unknown number n in the proportion.
Write the ratio using fractional notation. Do not simplify.
Determine whether the proportion is true or false.
Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form.
Fill in the blank with one of the words or phrases listed below.
not equal equal cross products rate
unit rate ratio unit price proportion
A(n) is a “money per item” unit rate.
Write the sentence as a proportion. Then determine whether the proportion is true or false.
one fifth is to two fifteenths as two thirds is to four ninths
1
5
4
9
=
2
15
2
3
; false
1
5
4
9
=
2
15
2
3
; true
1
5
2
3
=
2
15
4
9
; false
1
5
2
3
=
2
15
4
9
; true
It is recommended that there be at least 14.7 square feet of ground space in a garden for every
newly planted shrub. A garden is 29.4‘ by 15‘. Find the maximum number of shrubs the garden can
accommodate.
Fill in the blank with one of the words or phrases listed below.
not equal equal cross products rate
unit rate ratio unit price proportion
If cross products are the proportion is true.
Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form.
Determine whether the proportion is true or false.
Write the rate as a fraction in simplest form.
Find the ratio described as a fraction in simplest form.
Use the graph below to find the ratio of Work miles to total miles.
Write each ratio or rate as a fraction in simplest form.
Lake County’s smallest forest preserve is 530 acres. Orange County’s smallest forest preserve is 260
acres. Find the ratio of the acreage of Lake County‘s forest preserve to Orange County’s forest
preserve.
There are 0.5 milligrams of iron in a 3.5 ounce serving of cod. How much iron is in 6 ounces of cod?
Round the answer to one decimal place.
The ratio of the weight of an object on Earth to the weight of the same object on Pluto is 100 to 3. If a
buffalo weighs 3742 pounds on Earth, find the buffalo’s weight on Pluto. (Round to the nearest
pound.)
Write the sentence as a proportion. Then determine whether the proportion is true or false.
five is to four as nine is to seven
Write the rate as a unit rate.
In a region, the total number of students enrolled in public schools in a recent year was 456,734. At
the same time, there were 23,729 public school teachers. Write a unit rate in students per teacher.
Round to the nearest whole student.
B
Determine whether the proportion is true or false.
A solution strength of 8 mg of medicine in 1 mL of solution is available. If a patient needs 14 mg,
how many mL do you administer?
Write the ratio using fractional notation. Do not simplify.
Write the rate as a fraction in simplest form.
852 calories in a 3–ounce serving of lasagna
For the proportion, find the unknown number n.
Grant worked 6 hours and packed 62 cartons of books. At this rate, how many cartons can he pack
in 7 hours?
Write the ratio using fractional notation. Do not simplify.
Write the rate as a fraction in simplest form.
52 computers is to 130 students as 60 computers is to 150 students.
130 students
52 computers =60 computers
150 students
52 computers
130 students =60 computers
150 students
52 computers
150 students =60 computers
130 students
52 computers
130 students =150 students
60 computers
$43.00 for 5 compact discs
A motorcycle can be driven 100 miles in 3 hours, how long will it take to travel 125 miles?
On an architect’s blueprint, 1 inch corresponds to 2 feet. Find the length of a wall represented by a
line 41
2 inches long on the blueprint. Round to the nearest tenth if necessary.
Determine whether the proportion is true or false.
Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form.
6kilometers to 21 kilometers