Common Core: 7th Grade Math : Decide if Two Quantiies are in a Proportional Relationship: CCSS.Math.Content.7.RP.A.2a

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

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Example Questions

Example Question #71 : Number Concepts And Operations

In a factory, there are  glass bottles. If the ratio of red bottles to blue bottles is , how many more blue bottles than red bottles are there?

Possible Answers:

Correct answer:

Explanation:

First, find the number of red bottles and blue bottles.

Let  be the number of red bottles and  be the number of blue bottles. Since there is a total of  bottles at the factory,

There are  red bottles. Find the value of  to find the number of blue bottles.

Now, because the question wants to find how many more blue bottles than red bottles there are, subtract the number of red bottles from the number of blue bottles.

Example Question #92 : Grade 7

The ratio of offensive players to defensive players on a football team is . If there are  players on the team, how many offensive players are there?

Possible Answers:

Correct answer:

Explanation:

Let  be the number of offensive players and  be the number of defensive players.

Since there is a total of  players on the team,

We need to find the number of offensive players, so we will need to find the value of .

Example Question #11 : Decide If Two Quantiies Are In A Proportional Relationship: Ccss.Math.Content.7.Rp.A.2a

Does the table provided show a direct proportional relationship? If so, then identify the proportion.

Screen shot 2016 02 17 at 9.44.33 am

Possible Answers:

Yes, 

No

Yes, 

Yes, 

Yes, 

Correct answer:

No

Explanation:

In order to determine whether or not the table shows a direct proportion, we will divide the quantities in the  coordinate column by the quantities in the  coordinate column. In order for the table to show direct proportion, each quotient should be the same value. 

In this example, each quotient isn't the same value; therefore, this table does not show direct proportion.

Screen shot 2016 02 17 at 9.44.38 am

 

Example Question #12 : Decide If Two Quantiies Are In A Proportional Relationship: Ccss.Math.Content.7.Rp.A.2a

Does the table provided show a direct proportional relationship? If so, then identify the proportion.

Screen shot 2016 02 17 at 9.43.29 am

Possible Answers:

Yes, 

No

Yes, 

Yes, 

Yes, 

Correct answer:

Yes, 

Explanation:

In order to determine whether or not the table shows a direct proportion, we will divide the quantities in the  coordinate column by the quantities in the  coordinate column. In order for the table to show direct proportion, each quotient should be the same value. 

In this example, each quotient is the same value; therefore, this table does show direct proportion.

Screen shot 2016 02 17 at 9.43.35 am

The proportion is 

Example Question #103 : Ratios & Proportional Relationships

Does the table provided show a direct proportional relationship? If so, then identify the proportion.

Screen shot 2016 02 17 at 9.43.40 am

Possible Answers:

Yes, 

No

Yes, 

Yes, 

Yes, 

Correct answer:

Yes, 

Explanation:

In order to determine whether or not the table shows a direct proportion, we will divide the quantities in the  coordinate column by the quantities in the  coordinate column. In order for the table to show direct proportion, each quotient should be the same value. 

In this example, each quotient is the same value; therefore, this table does show direct proportion.

Screen shot 2016 02 17 at 9.43.45 am

The proportion is 

Example Question #104 : Ratios & Proportional Relationships

Does the table provided show a direct proportional relationship? If so, then identify the proportion. 


Screen shot 2016 02 17 at 9.43.49 am

Possible Answers:

Yes, 

Yes, 

Yes, 

Yes, 

No

Correct answer:

Yes, 

Explanation:

In order to determine whether or not the table shows a direct proportion, we will divide the quantities in the  coordinate column by the quantities in the  coordinate column. In order for the table to show direct proportion, each quotient should be the same value. 

In this example, each quotient is the same value; therefore, this table does show direct proportion.

Screen shot 2016 02 17 at 9.43.54 am

The proportion is 

Example Question #15 : Decide If Two Quantiies Are In A Proportional Relationship: Ccss.Math.Content.7.Rp.A.2a

Does the table provided show a direct proportional relationship? If so, then identify the proportion.

Screen shot 2016 02 17 at 9.43.59 am

Possible Answers:

Yes, 

Yes, 

Yes, 

No

Yes, 

Correct answer:

Yes, 

Explanation:

In order to determine whether or not the table shows a direct proportion, we will divide the quantities in the  coordinate column by the quantities in the  coordinate column. In order for the table to show direct proportion, each quotient should be the same value. 

In this example, each quotient is the same value; therefore, this table does show direct proportion.

Screen shot 2016 02 17 at 9.44.04 am

The proportion is 

Example Question #16 : Decide If Two Quantiies Are In A Proportional Relationship: Ccss.Math.Content.7.Rp.A.2a

Does the table provided show a direct proportional relationship? If so, then identify the proportion.

Screen shot 2016 02 17 at 9.44.11 am

Possible Answers:

No

Yes, 

Yes, 

Yes, 

Yes, 

Correct answer:

Yes, 

Explanation:

In order to determine whether or not the table shows a direct proportion, we will divide the quantities in the  coordinate column by the quantities in the  coordinate column. In order for the table to show direct proportion, each quotient should be the same value. 

In this example, each quotient is the same value; therefore, this table does show direct proportion.

Screen shot 2016 02 17 at 9.44.15 am

The proportion is 

Example Question #13 : Decide If Two Quantiies Are In A Proportional Relationship: Ccss.Math.Content.7.Rp.A.2a

Does the table provided show a direct proportional relationship? If so, then identify the proportion.

Screen shot 2016 02 17 at 9.44.22 am

Possible Answers:

Yes, 

Yes, 

No

Yes, 

Yes, 

Correct answer:

Yes, 

Explanation:

In order to determine whether or not the table shows a direct proportion, we will divide the quantities in the  coordinate column by the quantities in the  coordinate column. In order for the table to show direct proportion, each quotient should be the same value. 

In this example, each quotient is the same value; therefore, this table does show direct proportion.

Screen shot 2016 02 17 at 9.44.28 am

The proportion is 

Example Question #14 : Decide If Two Quantiies Are In A Proportional Relationship: Ccss.Math.Content.7.Rp.A.2a

Does the table provided show a direct proportional relationship? If so, then identify the proportion.

Screen shot 2016 02 17 at 9.44.48 am

 

Possible Answers:

Yes, 

Yes, 

Yes, 

Yes, 

No

Correct answer:

No

Explanation:

In order to determine whether or not the table shows a direct proportion, we will divide the quantities in the  coordinate column by the quantities in the  coordinate column. In order for the table to show direct proportion, each quotient should be the same value. 

In this example, each quotient isn't the same value; therefore, this table does not show direct proportion.


Screen shot 2016 02 17 at 9.44.53 am

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