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 #711 : Grade 6

Solve for .

Possible Answers:

Correct answer:

Explanation:

Add 3625 to each side to isolate y. This gives you the answer 5024

Example Question #712 : Grade 6

Solve:  

Possible Answers:

Correct answer:

Explanation:

To solve for , multiply ten on both sides of the equation to eliminate the denominator.

Example Question #713 : Grade 6

solve for

Possible Answers:

None of the other answers.

Correct answer:

Explanation:

To solve for x you simply isolate it on one side of the equation. To do this, apply the opposite operations to manipulate the equation.

Subtract 15 from both sides:

The red terms canceled.

We just subtract as normal on the right side.

Example Question #714 : Grade 6

Solve: 

Possible Answers:

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To eliminate the fraction, multiply both sides by eight to cancel the denominator.

Example Question #38 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Solve:  

Possible Answers:

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Divide both sides by negative two.

Simplify.  A double negative will eliminate each other when dividing.

Example Question #38 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Solve for :  

Possible Answers:

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To determine what the unknown variable is in this particular equation, add  on both sides of the equation.

Example Question #715 : Grade 6

Solve:  

Possible Answers:

Correct answer:

Explanation:

To isolate the  variable, divide both sides of the equation by nine.

Example Question #716 : Grade 6

Solve:  

Possible Answers:

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To isolate the unknown variable, add six on both sides.

Example Question #717 : Grade 6

Solve: 

Possible Answers:

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To isolate , divide both sides by 13.

Example Question #718 : Grade 6

Solve:  

Possible Answers:

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To solve this equation, divide both sides by ten.

Once we divide, then factor the numerator to find any common factors that can cancel out. Since there is a two in the numerator and in the denominator, they cancel out and we are left with out final, simplified answer.

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