Common Core: 6th Grade Math : Apply the Properties of Operations to Generate Equivalent Expressions: CCSS.Math.Content.6.EE.A.3

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

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Example Questions

Example Question #21 : Distributive Property

Simplify using the distributive property:

Possible Answers:

Correct answer:

Explanation:

First, we must use the distributive property on both sides of the equation.

The distributive property states:

In other words, we can take the factor on the outside of the parentheses and multiply it by each term inside the parentheses.  

Therefore:

Simplify.

Example Question #11 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Select the expression that is equal to 

Possible Answers:

Correct answer:

Explanation:

To solve this problem we need to use the distributive property. This property is used to multiply a term outside of a set of parentheses by each of the terms in the parentheses. 

Now we have 

This expression is simplified because we cannot add  to  because  has a variable  attached to it. 

Example Question #12 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Select the expression that is equal to 

Possible Answers:

Correct answer:

Explanation:

To solve this problem we need to use the distributive property. This property is used to multiply a term outside of a set of parentheses by each of the terms in the parentheses. 

Now we have 

This expression is simplified because we cannot add  to  because  has a variable  attached to it. 

Example Question #13 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Select the expression that is equal to 

Possible Answers:

Correct answer:

Explanation:

To solve this problem we need to use the distributive property. This property is used to multiply a term outside of a set of parentheses by each of the terms in the parentheses. 

Now we have 

This expression is simplified because we cannot add  to  because  has a variable  attached to it. 

Example Question #14 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Select the expression that is equal to 

 

Possible Answers:

Correct answer:

Explanation:

To solve this problem we need to use the distributive property. This property is used to multiply a term outside of a set of parentheses by each of the terms in the parentheses. 

Now we have 

This expression is simplified because we cannot add  to  because we cannot add a number to a variable. 

Example Question #15 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Select the expression that is equal to 

Possible Answers:

Correct answer:

Explanation:

To solve this problem we need to use the distributive property. This property is used to multiply a term outside of a set of parentheses by each of the terms in the parentheses. 

Now we have 

This expression is simplified because we cannot add  to  because  has a variable  attached to it. 

Example Question #16 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Select the expression that is equal to 

Possible Answers:

Correct answer:

Explanation:

To solve this problem we need to use the distributive property. This property is used to multiply a term outside of a set of parentheses by each of the terms in the parentheses. 

Now we have 

This expression is simplified because we cannot add  to  because  has a variable  attached to it. 

Example Question #17 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Select the expression that is equal to 

Possible Answers:

Correct answer:

Explanation:

To solve this problem we need to use the distributive property. This property is used to multiply a term outside of a set of parentheses by each of the terms in the parentheses. 

Now we have 

This expression is simplified because we cannot add  to  because  has a variable  attached to it. 

Example Question #18 : Apply The Properties Of Operations To Generate Equivalent Expressions: Ccss.Math.Content.6.Ee.A.3

Select the expression that is equal to 

Possible Answers:

Correct answer:

Explanation:

To solve this problem we need to use the distributive property. This property is used to multiply a term outside of a set of parentheses by each of the terms in the parentheses. 

Now we have 

This expression is simplified because we cannot add  to  because  has a variable  attached to it. 

Example Question #301 : Expressions & Equations

Select the expression that is equal to 

Possible Answers:

Correct answer:

Explanation:

To solve this problem we need to use the distributive property. This property is used to multiply a term outside of a set of parentheses by each of the terms in the parentheses. 

Now we have 

This expression is simplified because we cannot add  to  because  has a variable  attached to it. 

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