Common Core: 7th Grade Math : Apply Properties of Operations to Expand Linear Expressions with Rational Coefficients: CCSS.Math.Content.7.EE.A.1

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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Example Questions

Example Question #21 : Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1

Which of the answer choices is equivalent to the following expression:

Possible Answers:

Correct answer:

Explanation:

In order to answer this question, we need to write the given expression is standard form.

First, we will need to use the distributive property, which tells us to multiply each component inside the parenthesis by the value outside the parenthesis. In this case we will multiply by the  and the  by the following fraction:

For the variable ,

For the number ,

Next, we put our products together:

This expression is considered to be simplified because we are not able to perform any other operations on its constituent components.

In other words, we can't add the  to  because the rules of operations tell us that these are unlike terms due to the presence of the variable, , in the enumerator and we cannot add unlike terms. 

Example Question #22 : Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1

Which of the answer choices is equivalent to the following expression:

Possible Answers:

Correct answer:

Explanation:

In order to answer this question, we need to write the given expression is standard form.

First, we will need to use the distributive property, which tells us to multiply each component inside the parenthesis by the value outside the parenthesis. In this case we will multiply by the  and the  by the following fraction:

For the variable ,

For the number ,

Next, we put our products together:

This expression is considered to be simplified because we are not able to perform any other operations on its constituent components.

In other words, we can't add the  to  because the rules of operations tell us that these are unlike terms due to the presence of the variable, , in the enumerator and we cannot add unlike terms. 

Example Question #23 : Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1

Which of the answer choices is equivalent to the following expression:

Possible Answers:

Correct answer:

Explanation:

In order to answer this question, we need to write the given expression is standard form.

First, we will need to use the distributive property, which tells us to multiply each component inside the parenthesis by the value outside the parenthesis. In this case we will multiply by the  and the  by the following fraction:

For the variable ,

For the number ,

Next, we put our products together:

This expression is considered to be simplified because we are not able to perform any other operations on its constituent components.

In other words, we can't add the  to  because the rules of operations tell us that these are unlike terms due to the presence of the variable, , in the enumerator and we cannot add unlike terms. 

Example Question #24 : Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1

Which of the answer choices is equivalent to the following expression:

Possible Answers:

Correct answer:

Explanation:

In order to answer this question, we need to write the given expression is standard form.

First, we will need to use the distributive property, which tells us to multiply each component inside the parenthesis by the value outside the parenthesis. In this case we will multiply by the  and the  by the following fraction:

For the variable ,

For the number ,

Next, we put our products together:

This expression is considered to be simplified because we are not able to perform any other operations on its constituent components.

In other words, we can't add the  to  because the rules of operations tell us that these are unlike terms due to the presence of the variable, , in the enumerator and we cannot add unlike terms. 

Example Question #25 : Apply Properties Of Operations To Expand Linear Expressions With Rational Coefficients: Ccss.Math.Content.7.Ee.A.1

Which of the answer choices is equivalent to the following expression:

 

Possible Answers:

Correct answer:

Explanation:

In order to answer this question, we need to write the given expression is standard form.

First, we will need to use the distributive property, which tells us to multiply each component inside the parenthesis by the value outside the parenthesis. In this case we will multiply by the  and the  by the following fraction:

For the variable ,

For the number ,

Next, we put our products together:

This expression is considered to be simplified because we are not able to perform any other operations on its constituent components.

In other words, we can't add the  to  because the rules of operations tell us that these are unlike terms due to the presence of the variable, , in the enumerator and we cannot add unlike terms. 

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