Common Core: 6th Grade Math : Grade 6

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

varsity tutors app store varsity tutors android store

Example Questions

Example Question #731 : Grade 6

Solve the equation:  

Possible Answers:

 

Correct answer:

 

Explanation:

In order to solve this equation, we must divide by eight on both sides of the equation.

Divide each digit by eight.

Example Question #52 : One Step Equations

Solve:  

Possible Answers:

Correct answer:

Explanation:

In order to solve for , divide both sides by negative three.

The negative three will cancel out on the left side.  Divide each digit on the numerator by three.

The answer is:  

Example Question #732 : Grade 6

Solve:  

Possible Answers:

Correct answer:

Explanation:

Solve this equation by dividing six on both sides of the equation.

The sixes will cancel out on the left side.  Leave the right side as an improper fraction.

The answer is:  

Example Question #55 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Solve:  

Possible Answers:

Correct answer:

Explanation:

Solve by adding seven on both sides of the equation.  This will isolate  on both sides of the equation.

Add the left side of the equation.

Add the right side of the equation.

The answer is .

Example Question #53 : One Step Equations

Solve for :

Possible Answers:

Correct answer:

Explanation:

To solve this equation, we must isolate  on the left side by multiplying each side by , as follows:

Therefore, the correct answer is .

Example Question #57 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

Solve:

Possible Answers:

Correct answer:

Explanation:

To solve for , we must isolate it to one side of the equation, as follows:

Example Question #281 : Expressions & Equations

Find the solution for the variable m.

Possible Answers:

Correct answer:

Explanation:

In order to find the solution we must isolate the variable m. The first step is to subtract 346 from both sides as follows:

We can check the answer by plugging in our solution of 765 into the original equation. 

It works.

Example Question #1 : Distributive Property

Expand:

Possible Answers:

Correct answer:

Explanation:

Distribute the  by multiplying it by each term inside the parentheses. 

 

and

Therefore, 5(2 + y) = 10 + 5y.

 

Example Question #734 : Grade 6

Simplify the expression:

Possible Answers:

Correct answer:

Explanation:

To solve this question you must use the distrubitive property by multiplying x by -2 and the 2 by -2, making sure to distribute the negative as well. This gives you:

Example Question #735 : Grade 6

Which answer correctly simplifies this expression?

Possible Answers:

Correct answer:

Explanation:

To simplify this expression, use the distributive property. This means that we have to multiply the 2 times both terms inside the parentheses. , and . So, our answer is .

Learning Tools by Varsity Tutors