Common Core: 6th Grade Math : Expressions & Equations

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

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Example Questions

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 #54 : Evaluate Expressions: Ccss.Math.Content.6.Ee.A.2c

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

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 #10 : 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 #1 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

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 #281 : Expressions & Equations

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 .

Example Question #1 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Simplify the following expression:

Possible Answers:

Correct answer:

Explanation:

Apply the distributive property of multiplication to remove the parenthesis from the given expression. Multiply the term outside of the parenthesis to each of the terms inside the parenthesis.

Example Question #2 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Simplify the following:

 

Possible Answers:

Correct answer:

Explanation:

This is applying to distrubtive property and then combining like terms.

First you distrubute the negative to the two terms in the first parentheses, so:

Then do the same for the four:

Finally, combine like terms to get:

 

Example Question #282 : Expressions & Equations

Name the property used to solve the problem.

Possible Answers:

Identity Property

Multiplication Property

Associative Property of Multiplication

Distributive Property

Communitive Property of Multiplication

Correct answer:

Distributive Property

Explanation:

Multiplying each term on the outside of the parenthesis by each term on the inside refers to the distributive property.

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