Common Core: 7th Grade Math : Ratios & Proportional Relationships

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

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Example Questions

Example Question #23 : 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 9.45.24 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 9.45.29 am

Example Question #111 : Ratios & Proportional Relationships

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


Screen shot 2016 02 17 at 9.45.35 am

Possible Answers:

No

Yes, 

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 9.45.44 am

Example Question #1 : Identify The Constant Of Prportionality: Ccss.Math.Content.7.Rp.A.2b

In the equation provided, identify the constant of proportionality (i.e. the unit rate).

Possible Answers:

Correct answer:

Explanation:

The constant of proportionality can be identified using the following general equation:

In this equation, the variable, , represents the constant of proportionality. 

Let's look at the given equation:

In this example,  is in the place of ; therefore,  is the constant of proportionality. 

Example Question #112 : Ratios & Proportional Relationships

In the equation provided, identify the constant of proportionality (i.e. the unit rate).

 

Possible Answers:

Correct answer:

Explanation:

The constant of proportionality can be identified using the following general equation:

In this equation, the variable, , represents the constant of proportionality. 

Let's look at the given equation:

In this example,  is in the place of ; therefore,  is the constant of proportionality. 

Example Question #113 : Ratios & Proportional Relationships

In the equation provided, identify the constant of proportionality (i.e. the unit rate).

 

Possible Answers:

Correct answer:

Explanation:

The constant of proportionality can be identified using the following general equation:

In this equation, the variable, , represents the constant of proportionality. 

Let's look at the given equation:

In this example,  is in the place of ; therefore,  is the constant of proportionality. 

Example Question #2 : Identify The Constant Of Prportionality: Ccss.Math.Content.7.Rp.A.2b

In the equation provided, identify the constant of proportionality (i.e. the unit rate).

 

Possible Answers:

Correct answer:

Explanation:

The constant of proportionality can be identified using the following general equation:

In this equation, the variable, , represents the constant of proportionality. 

Let's look at the given equation:

In this example,  is in the place of ; therefore,  is the constant of proportionality. 

Example Question #3 : Identify The Constant Of Prportionality: Ccss.Math.Content.7.Rp.A.2b

In the equation provided, identify the constant of proportionality (i.e. the unit rate).

 

Possible Answers:

Correct answer:

Explanation:

The constant of proportionality can be identified using the following general equation:

In this equation, the variable, , represents the constant of proportionality. 

Let's look at the given equation:

In this example,  is in the place of ; therefore,  is the constant of proportionality. 

Example Question #4 : Identify The Constant Of Prportionality: Ccss.Math.Content.7.Rp.A.2b

In the equation provided, identify the constant of proportionality (i.e. the unit rate).

 

Possible Answers:

Correct answer:

Explanation:

The constant of proportionality can be identified using the following general equation:

In this equation, the variable, , represents the constant of proportionality. 

Let's look at the given equation:

In this example,  is in the place of ; therefore,  is the constant of proportionality. 

Example Question #116 : Ratios & Proportional Relationships

In the equation provided, identify the constant of proportionality (i.e. the unit rate).

 

Possible Answers:

Correct answer:

Explanation:

The constant of proportionality can be identified using the following general equation:

In this equation, the variable, , represents the constant of proportionality. 

Let's look at the given equation:

In this example,  is in the place of ; therefore,  is the constant of proportionality. 

Example Question #117 : Ratios & Proportional Relationships

In the equation provided, identify the constant of proportionality (i.e. the unit rate).

 

Possible Answers:

Correct answer:

Explanation:

The constant of proportionality can be identified using the following general equation:

In this equation, the variable, , represents the constant of proportionality. 

Let's look at the given equation:

In this example,  is in the place of ; therefore,  is the constant of proportionality. 

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