Common Core: 6th Grade Math : Grade 6

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

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Example Questions

Example Question #84 : Solve Real World And Mathematical Problems By Writing And Solving Equations: Ccss.Math.Content.6.Ee.B.7

Solve for :

Possible Answers:

Correct answer:

Explanation:

The equation  asks us to identify which number, , multiplied by  is equal to .

In order to solve this equation, we need to isolate the  variable on one side of the equals sign. We will do this by performing the opposite of the operations that were done on the variable,. We need to remember that whatever we do to one side of the equals sign, we have to do to the other. 

Since  was multiplied by the variable, we can divide  from both sides of the equation. 

We can check to make sure we have the correct value for  by plugging  into the original equation; thus:

Example Question #85 : Solve Real World And Mathematical Problems By Writing And Solving Equations: Ccss.Math.Content.6.Ee.B.7

Solve for :

Possible Answers:

Correct answer:

Explanation:

The equation  asks us to identify which number, , multiplied by  is equal to .

In order to solve this equation, we need to isolate the  variable on one side of the equals sign. We will do this by performing the opposite of the operations that were done on the variable,. We need to remember that whatever we do to one side of the equals sign, we have to do to the other. 

Since  was multiplied by the variable, we can divide  from both sides of the equation. 

We can check to make sure we have the correct value for  by plugging  into the original equation; thus:

Example Question #86 : Solve Real World And Mathematical Problems By Writing And Solving Equations: Ccss.Math.Content.6.Ee.B.7

Solve for :

Possible Answers:

Correct answer:

Explanation:

The equation  asks us to identify which number, , multiplied by  is equal to .

In order to solve this equation, we need to isolate the  variable on one side of the equals sign. We will do this by performing the opposite of the operations that were done on the variable,. We need to remember that whatever we do to one side of the equals sign, we have to do to the other. 

Since  was multiplied by the variable, we can divide  from both sides of the equation. 

We can check to make sure we have the correct value for  by plugging  into the original equation; thus:

Example Question #87 : Solve Real World And Mathematical Problems By Writing And Solving Equations: Ccss.Math.Content.6.Ee.B.7

Solve for :

Possible Answers:

Correct answer:

Explanation:

The equation  asks us to identify which number, , multiplied by  is equal to .

In order to solve this equation, we need to isolate the  variable on one side of the equals sign. We will do this by performing the opposite of the operations that were done on the variable,. We need to remember that whatever we do to one side of the equals sign, we have to do to the other. 

Since  was multiplied by the variable, we can divide  from both sides of the equation. 

We can check to make sure we have the correct value for  by plugging  into the original equation; thus:

Example Question #88 : Solve Real World And Mathematical Problems By Writing And Solving Equations: Ccss.Math.Content.6.Ee.B.7

Solve for :

Possible Answers:

Correct answer:

Explanation:

The equation  asks us to identify which number, , multiplied by  is equal to .

In order to solve this equation, we need to isolate the  variable on one side of the equals sign. We will do this by performing the opposite of the operations that were done on the variable,. We need to remember that whatever we do to one side of the equals sign, we have to do to the other. 

Since  was multiplied by the variable, we can divide  from both sides of the equation. 

We can check to make sure we have the correct value for  by plugging  into the original equation; thus:

Example Question #89 : Solve Real World And Mathematical Problems By Writing And Solving Equations: Ccss.Math.Content.6.Ee.B.7

Solve for :

Possible Answers:

Correct answer:

Explanation:

The equation  asks us to identify which number, , multiplied by  is equal to .

In order to solve this equation, we need to isolate the  variable on one side of the equals sign. We will do this by performing the opposite of the operations that were done on the variable,. We need to remember that whatever we do to one side of the equals sign, we have to do to the other. 

Since  was multiplied by the variable, we can divide  from both sides of the equation. 

We can check to make sure we have the correct value for  by plugging  into the original equation; thus:

Example Question #90 : Solve Real World And Mathematical Problems By Writing And Solving Equations: Ccss.Math.Content.6.Ee.B.7

Solve for :

Possible Answers:

Correct answer:

Explanation:

The equation  asks us to identify which number, , multiplied by  is equal to .

In order to solve this equation, we need to isolate the  variable on one side of the equals sign. We will do this by performing the opposite of the operations that were done on the variable,. We need to remember that whatever we do to one side of the equals sign, we have to do to the other. 

Since  was multiplied by the variable, we can divide  from both sides of the equation. 

We can check to make sure we have the correct value for  by plugging  into the original equation; thus:

Example Question #91 : Solve Real World And Mathematical Problems By Writing And Solving Equations: Ccss.Math.Content.6.Ee.B.7

Solve for :

Possible Answers:

Correct answer:

Explanation:

The equation  asks us to identify which number, , multiplied by  is equal to .

In order to solve this equation, we need to isolate the  variable on one side of the equals sign. We will do this by performing the opposite of the operations that were done on the variable,. We need to remember that whatever we do to one side of the equals sign, we have to do to the other. 

Since  was multiplied by the variable, we can divide  from both sides of the equation. 

We can check to make sure we have the correct value for  by plugging  into the original equation; thus:

Example Question #1041 : Grade 6

Solve for :

 

Possible Answers:

Correct answer:

Explanation:

The equation  asks us to identify which number, , plus  is equal to .

In order to solve this equation, we need to isolate the  variable on one side of the equals sign. We will do this by performing the opposite of the operations that were done on the variable,. We need to remember that whatever we do to one side of the equals sign, we have to do to the other. 

Since  was added to the variable, we can subtract  from both sides of the equation. 

Simplify by dropping the  because it has not numerical value; therefore:

We can check to make sure we have the correct value for  by plugging  into the original equation; thus:

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.

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