Common Core: 6th Grade Math : Solve Real-World and Mathematical Problems by Writing and Solving Equations: CCSS.Math.Content.6.EE.B.7

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

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Example Questions

Example Question #545 : Expressions & Equations

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 #546 : Expressions & Equations

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 #547 : Expressions & Equations

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 #548 : Expressions & Equations

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 #549 : Expressions & Equations

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 #550 : Expressions & Equations

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 #41 : 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, , 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 #42 : 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, , 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 #43 : 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, , 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 #44 : 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, , 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:

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