All Common Core: 7th Grade Math Resources
Example Questions
Example Question #1 : Ratios & Proportional Relationships
Write as a unit rate:
revolutions in minutesrevolutions per minute
revolutions per minute
revolutions per minute
revolutions per minute
revolutions per minute
revolutions per minute
Divide the number of revolutions by the number of minutes to get revolutions per minute:
,
making
revolutions per minute the correct choice.Example Question #71 : Number Concepts And Operations
A factory can make
tents in minutes. At this rate, how long, in minutes, would it take the factory to make tents?
First, find out how long it takes the factory to produce
tent.
Since it takes the factory
minutes to make tent, multiply this number by to find how long it takes to make tents.
It will take the factory
minutes to make tents.Example Question #72 : Number Concepts And Operations
If Billy can drink
cans of soda in days, how many cans of soda can he drink in days?
First, find how many cans of soda Billy can drink in 1 day.
Since, he can drink
cans in day, then the following equation will tell us how many cans he drinks in days.
Example Question #73 : Number Concepts And Operations
It costs
to buy markers. How much would it cost to buy markers?
First, find the cost per marker.
Now, multiply this cost per marker by
, the number of markers we want.
Example Question #74 : Number Concepts And Operations
A
gallon tank of water is leaking gallons every minutes. After how many hours will the tank be empty?
Set up the following proportion:
,
where
is the number of hours it'll take to empty gallons.Now solve for
.
Example Question #75 : Number Concepts And Operations
Julie can read
pages in minutes. How long, in minutes, would it take Julie to read a book that had pages?
First, figure out how long it takes Julie to read 1 page.
It takes Julie
minutes to read one page. Now, multiply this by the number of pages she needs to read to find out how long it will take her.
It will take Julie
minutes to read pages.Example Question #2 : Ratios & Proportional Relationships
If it takes Dennis
minutes to paint walls, how many minutes does it take him to paint wall?
Divide the time it take Dennis to paint
walls by the number of walls he painted to find how long it will take him to paint one wall.
It will take Dennis
minutes to paint one wall.Example Question #3 : Ratios & Proportional Relationships
An arcade charges players
to play on the machine for minutes. How much money would it cost a player if she wanted to play for an hour?
First, find out how much money it costs to play for one minute.
Now, multiply this amount by the number of minutes in an hour to find how much it will cost for the player to play for one hour.
It will cost her
to play for one hour.Example Question #4 : Ratios & Proportional Relationships
If a doctor charges
per hour for her services, how much would it cost to hire this doctor for minutes?
First, convert the minutes to hours.
Since
minutes is hours, multiply this by the doctor's hourly rate to find how much it will cost to hire this doctor for minutes.
Example Question #5 : Ratios & Proportional Relationships
A dentist charges
per hour for the first three hours of an appointment. Any amount of time greater than three hours is charged at per hour. If a patient had a hour long appointment, how much would this appointment cost?
Use the dentist's rate to find how much the first three hours of the appointment will cost.
Next, use the dentist's second rate to find out how much the last five hours of the appointment will cost.
Now, add these values together to get the cost of the entire appointment.
All Common Core: 7th Grade Math Resources
