Common Core: 7th Grade Math : Grade 7

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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Example Questions

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Example Question #1 :Compute Unit Rates Associated With Ratios Of Fractions: Ccss.Math.Content.7.Rp.A.1

Write as a unit rate:revolutions in分钟

Possible Answers:

revolutions per minute

revolutions per minute

revolutions per minute

revolutions per minute

revolutions per minute

Correct answer:

revolutions per minute

Explanation:

Divide the number of revolutions by the number of minutes to get revolutions per minute:

,

makingrevolutions per minute the correct choice.

Example Question #1 :How To Find Rate

A factory can maketents in分钟. At this rate, how long, in minutes, would it take the factory to maketents?

Possible Answers:

Correct answer:

Explanation:

First, find out how long it takes the factory to producetent.

Since it takes the factory分钟to maketent, multiply this number byto find how long it takes to maketents.

It will take the factory分钟to maketents.

Example Question #2 :How To Find Rate

If Billy can drinkcans of soda indays, how many cans of soda can he drink indays?

Possible Answers:

Correct answer:

Explanation:

First, find how many cans of soda Billy can drink in 1 day.

Since, he can drinkcans inday, then the following equation will tell us how many cans he drinks indays.

Example Question #3 :How To Find Rate

It coststo buymarkers. How much would it cost to buymarkers?

Possible Answers:

Correct answer:

Explanation:

First, find the cost per marker.

Now, multiply this cost per marker by, the number of markers we want.

例子问题# 4:How To Find Rate

Agallon tank of water is leakinggallons every分钟. After how many hours will the tank be empty?

Possible Answers:

Correct answer:

Explanation:

Set up the following proportion:

,

whereis the number of hours it'll take to emptygallons.

Now solve for.

Example Question #1 :Compute Unit Rates Associated With Ratios Of Fractions: Ccss.Math.Content.7.Rp.A.1

Julie can readpages in分钟. How long, in minutes, would it take Julie to read a book that hadpages?

Possible Answers:

Correct answer:

Explanation:

First, figure out how long it takes Julie to read 1 page.

It takes Julie分钟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分钟to readpages.

Example Question #6 :How To Find Rate

If it takes Dennis分钟to paintwalls, how many minutes does it take him to paintwall?

Possible Answers:

Correct answer:

Explanation:

Divide the time it take Dennis to paintwalls by the number of walls he painted to find how long it will take him to paint one wall.

It will take Dennis分钟to paint one wall.

Example Question #7 :How To Find Rate

An arcade charges playersto play on the machine for分钟. How much money would it cost a player if she wanted to play for an hour?

Possible Answers:

Correct answer:

Explanation:

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 herto play for one hour.

Example Question #8 :How To Find Rate

If a doctor chargesper hour for her services, how much would it cost to hire this doctor for分钟?

Possible Answers:

Correct answer:

Explanation:

First, convert the minutes to hours.

Since分钟ishours, multiply this by the doctor's hourly rate to find how much it will cost to hire this doctor for分钟.

Example Question #2 :Ratios & Proportional Relationships

A dentist chargesper hour for the first three hours of an appointment. Any amount of time greater than three hours is charged atper hour. If a patient had ahour long appointment, how much would this appointment cost?

Possible Answers:

Correct answer:

Explanation:

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.

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