Common Core: 6th Grade Math : Understand Independent and Dependent Variables: CCSS.Math.Content.6.EE.C.9

Study concepts, example questions & explanations for Common Core: 6th Grade Math

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Example Questions

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Example Question #1 : Understand Independent And Dependent Variables: Ccss.Math.Content.6.Ee.C.9

Select the table of values that represent the relationship between  and  if 

Possible Answers:

Correct answer:

Explanation:

In the equation  is the independent variable and  is the dependent variable. This means, as we manipulate  will change.

Because we are given tables in our answer choices, we can plug in the given value for  from the table and use our equation from the question to see if that equals the value given for  in the table.

Let's start by testing values from the following table:

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

All of these values were correct for our equation; thus, this table is our correct answer.

Example Question #598 : Expressions & Equations

Select the table of values that represent the relationship between  and  if 

Possible Answers:

Correct answer:

Explanation:

In the equation  is the independent variable and  is the dependent variable. This means, as we manipulate  will change.

Because we are given tables in our answer choices, we can plug in the given value for  from the table and use our equation from the question to see if that equals the value given for  in the table.

Let's start by testing values from the following table:

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

All of these values were correct for our equation; thus, this table is our correct answer.

Example Question #599 : Expressions & Equations

Select the table of values that represent the relationship between  and  if 

Possible Answers:

Correct answer:

Explanation:

In the equation  is the independent variable and  is the dependent variable. This means, as we manipulate  will change.

Because we are given tables in our answer choices, we can plug in the given value for  from the table and use our equation from the question to see if that equals the value given for  in the table.

Let's start by testing values from the following table:

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

All of these values were correct for our equation; thus, this table is our correct answer.

Example Question #600 : Expressions & Equations

Select the table of values that represent the relationship between  and  if 

Possible Answers:

Correct answer:

Explanation:

In the equation  is the independent variable and  is the dependent variable. This means, as we manipulate  will change.

Because we are given tables in our answer choices, we can plug in the given value for  from the table and use our equation from the question to see if that equals the value given for  in the table.

Let's start by testing values from the following table:

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

All of these values were correct for our equation; thus, this table is our correct answer.

Example Question #1 : Understand Independent And Dependent Variables: Ccss.Math.Content.6.Ee.C.9

Select the table of values that represent the relationship between  and  if 

Possible Answers:

Correct answer:

Explanation:

In the equation  is the independent variable and  is the dependent variable. This means, as we manipulate  will change.

Because we are given tables in our answer choices, we can plug in the given value for  from the table and use our equation from the question to see if that equals the value given for  in the table.

Let's start by testing values from the following table:

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

All of these values were correct for our equation; thus, this table is our correct answer.

Example Question #2 : Understand Independent And Dependent Variables: Ccss.Math.Content.6.Ee.C.9

Select the table of values that represent the relationship between  and  if 

Possible Answers:

Correct answer:

Explanation:

In the equation  is the independent variable and  is the dependent variable. This means, as we manipulate  will change.

Because we are given tables in our answer choices, we can plug in the given value for  from the table and use our equation from the question to see if that equals the value given for  in the table.

Let's start by testing values from the following table:

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

All of these values were correct for our equation; thus, this table is our correct answer.

Example Question #3 : Understand Independent And Dependent Variables: Ccss.Math.Content.6.Ee.C.9

Select the table of values that represent the relationship between  and  if 

Possible Answers:

Correct answer:

Explanation:

In the equation  is the independent variable and  is the dependent variable. This means, as we manipulate  will change.

Because we are given tables in our answer choices, we can plug in the given value for  from the table and use our equation from the question to see if that equals the value given for  in the table.

Let's start by testing values from the following table:

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

All of these values were correct for our equation; thus, this table is our correct answer.

Example Question #4 : Understand Independent And Dependent Variables: Ccss.Math.Content.6.Ee.C.9

Select the table of values that represent the relationship between  and  if 

Possible Answers:

Correct answer:

Explanation:

In the equation  is the independent variable and  is the dependent variable. This means, as we manipulate  will change.

Because we are given tables in our answer choices, we can plug in the given value for  from the table and use our equation from the question to see if that equals the value given for  in the table.

Let's start by testing values from the following table:

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

All of these values were correct for our equation; thus, this table is our correct answer.

Example Question #5 : Understand Independent And Dependent Variables: Ccss.Math.Content.6.Ee.C.9

Select the table of values that represent the relationship between  and  if 

Possible Answers:

Correct answer:

Explanation:

In the equation  is the independent variable and  is the dependent variable. This means, as we manipulate  will change.

Because we are given tables in our answer choices, we can plug in the given value for  from the table and use our equation from the question to see if that equals the value given for  in the table.

Let's start by testing values from the following table:

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

All of these values were correct for our equation; thus, this table is our correct answer.

Example Question #6 : Understand Independent And Dependent Variables: Ccss.Math.Content.6.Ee.C.9

Select the table of values that represent the relationship between  and  if 

Possible Answers:

Correct answer:

Explanation:

In the equation  is the independent variable and  is the dependent variable. This means, as we manipulate  will change.

Because we are given tables in our answer choices, we can plug in the given value for  from the table and use our equation from the question to see if that equals the value given for  in the table.

Let's start by testing values from the following table:

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

Next, let's test values from the following table:

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Because this equation did not work out, this means that not all of the values from the table are representative of the relationship between  and  if  ; thus, this answer choice is not correct and can be eliminated.

Finally, let's test values from the following table:

These values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

Again, these values are correct for our equation, but to be safe we should plug each value into our equation until we find a value that is not correct, or that each value is correct.

All of these values were correct for our equation; thus, this table is our correct answer.

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