### All Common Core: 7th Grade Math Resources

## Example Questions

### Example Question #1 : How To Find Rate

On a map, . If two cities are apart on the map, how many miles apart are they in reality?

**Possible Answers:**

**Correct answer:**

Set up the following proportion:

,

where is the number of miles the cities are apart.

Now, solve for .

The two cities are miles apart.

### Example Question #11 : Ratios & Proportional Relationships

Chuck is building a driveway that measures feet by feet. He needs to use pounds of cement for every square foot of driveway. How many pounds of cement does he need to complete the driveway?

**Possible Answers:**

**Correct answer:**

First, find the area of the driveway.

Since it takes pounds of cement per square feet,

pounds will be needed to complete the driveway.

### Example Question #11 : Grade 7

Joanna can finish math problems in minutes. How many minutes would it take her to finish math problems?

**Possible Answers:**

**Correct answer:**

First, find out how long it will take her to finish math problem.

Since it takes Joanna minutes to finish one problem, multiply this number by the amount of questions she needs to do.

It will take her minutes to finish questions.

### Example Question #11 : Compute Unit Rates Associated With Ratios Of Fractions: Ccss.Math.Content.7.Rp.A.1

A car travels miles in hours. At what rate does the car travel?

**Possible Answers:**

**Correct answer:**

Divide the number of miles by the number of hours to get the number of miles per hour.

### Example Question #12 : Ratios & Proportional Relationships

Joe used of a bag of oranges to squeeze of a gallon of juice. At this rate, how many bags of oranges does he use per gallon of juice?

**Possible Answers:**

**Correct answer:**

The phrase "bags of oranges does he use per gallon" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have bags of oranges, , divided by gallons, :

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

Therefore:

Joe will use bags of oranges to fill a gallon of juice.

### Example Question #13 : Compute Unit Rates Associated With Ratios Of Fractions: Ccss.Math.Content.7.Rp.A.1

A landscaper can mow of a yard in of an hour. If he continues at this rate, how many yards can the landscaper mow per hour?

**Possible Answers:**

**Correct answer:**

The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have yards, , divided by hours, :

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

Therefore:

The landscaper can mow yards per hour.

### Example Question #12 : Grade 7

Hannah loves to shop. She can shop in of the mall in of an hour. If she continues at this rate, how much of the mall can she shop per hour?

**Possible Answers:**

**Correct answer:**

The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have the portion of the mall, , divided by hours, :

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve.

Therefore:

Hannah can shop in of the mall per hour.

### Example Question #12 : Compute Unit Rates Associated With Ratios Of Fractions: Ccss.Math.Content.7.Rp.A.1

Charlie walks of a mile in of an hour. If he continues this rate, what is Charlie's speed in miles per hour

**Possible Answers:**

**Correct answer:**

The phrase "miles per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have miles, , divided by hours, :

Therefore:

Charlie can walk at a speed of:

### Example Question #14 : Compute Unit Rates Associated With Ratios Of Fractions: Ccss.Math.Content.7.Rp.A.1

Alan walks of a mile in of an hour. If he continues this rate, what is Alan's speed in miles per hour

**Possible Answers:**

**Correct answer:**

The phrase "miles per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have miles, , divided by hours, :

Therefore:

Alan can walk at a speed of:

### Example Question #15 : Compute Unit Rates Associated With Ratios Of Fractions: Ccss.Math.Content.7.Rp.A.1

Jake walks of a mile in of an hour. If he continues this rate, what is Jake's speed in miles per hour

**Possible Answers:**

**Correct answer:**

The phrase "miles per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have miles, , divided by hours, :

Therefore:

Jake can walk at a speed of:

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