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 #671 : Grade 6

Identify the factor(s) in the equation below. 

 

Possible Answers:

Both  and 

Both  and 

Correct answer:

Both  and 

Explanation:

Factors are numbers that are multiplied together to get another number. In this case,  and  are factors of 

Example Question #6 : Identify Parts Of An Expression Using Mathematical Terms: Ccss.Math.Content.6.Ee.A.2b

Identify the quotient(s) in the equation below. 

 

 

Possible Answers:

Both  and 

Both  and 

Correct answer:

Explanation:

The quotient of an equation is the answer to a division problem. In this case, the quotient is 

 

Example Question #3 : Identify Parts Of An Expression Using Mathematical Terms: Ccss.Math.Content.6.Ee.A.2b

Identify the quotient(s) in the equation below. 

Possible Answers:

Both  and 

Both  and 

Correct answer:

Explanation:

The quotient of an equation is the answer to a division problem. In this case, the quotient is 

 

Example Question #7 : Identify Parts Of An Expression Using Mathematical Terms: Ccss.Math.Content.6.Ee.A.2b

Identify the coefficient(s) in the equation below. 

 

Possible Answers:

Both  and 

Correct answer:

Explanation:

A coefficient is a number or symbol that is being multiplied by an unknown. In this case,  is our unknown and it's being multiplied by , thus  is our coefficient. 

Example Question #11 : Identify Parts Of An Expression Using Mathematical Terms: Ccss.Math.Content.6.Ee.A.2b

Identify the coefficient(s) in the equation below. 

 

Possible Answers:

Both  and 

Correct answer:

Explanation:

A coefficient is a number or symbol that is being multiplied by an unknown. In this case,  is our unknown and it's being multiplied by , thus  is our coefficient. 

Example Question #12 : Identify Parts Of An Expression Using Mathematical Terms: Ccss.Math.Content.6.Ee.A.2b

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 #671 : Grade 6

Which of the following choices represent terms in the equation ?

Possible Answers:

All of the options are correct 

Correct answer:

All of the options are correct 

Explanation:

A term is a number or variable in an equation. Terms are separated by mathematical signs 

Example Question #1 : One Step Equations With Integers

Solve for :

Possible Answers:

Correct answer:

Explanation:

Isolate the variable to one side.

Subtract  from both sides:

 

Example Question #2 : One Step Equations With Integers

Solve for :

Possible Answers:

Correct answer:

Explanation:

We need to isolate by dividing by 3.

Remember, what you do on one side, you must do on the other side.

Since you divided by , you also have to divde by :

 

 

Example Question #3 : One Step Equations With Integers

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve this you must isolate your  by subtracting 1 from both sides to get

 or 

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