Common Core: 7th Grade Math : Expressions & Equations

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

varsity tutors app store varsity tutors android store

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 #21 : Expressions & Equations

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 : Expressions & Equations

Sarah is going to buy a new cell phone. The cell phone costs  plus a  sales tax. What is the total price that Sarah will pay for her new cell phone? 

Possible Answers:

Correct answer:

Explanation:

We know that Sarah is going to pay  of the  cell phone because that is the total cost. Plus, she is going to pay  of the  because that is the sales tax. 

First, we need to convert our percentages into decimals in order to multiply. 

Next, we can write a numeric expression and solve:

Example Question #2 : Rewrite An Expression: Ccss.Math.Content.7.Ee.A.2

Megan is going to buy a new TV. The TV costs  plus a  sales tax. What is the total price that Megan will pay for her new TV? 

 

Possible Answers:

Correct answer:

Explanation:

We know that Megan is going to pay  of the  TV because that is the total cost. Plus, she is going to pay  of the  because that is the sales tax. 

First, we need to convert our percentages into decimals in order to multiply. 

Next, we can write a numeric expression and solve:

Example Question #3 : Rewrite An Expression: Ccss.Math.Content.7.Ee.A.2

Olivia is going to buy a new computer. The computer costs  plus a  sales tax. What is the total price that Olivia will pay for her new computer? 

 

Possible Answers:

Correct answer:

Explanation:

We know that Olivia is going to pay  of the  computer because that is the total cost. Plus, she is going to pay  of the  because that is the sales tax. 

First, we need to convert our percentages into decimals in order to multiply. 

Next, we can write a numeric expression and solve:

Example Question #4 : Rewrite An Expression: Ccss.Math.Content.7.Ee.A.2

Meredith is going to buy a new coat. The coat costs  plus a  sales tax. What is the total price that Meredith will pay for her new coat? 

 

Possible Answers:

Correct answer:

Explanation:

We know that Meredith is going to pay  of the  coat because that is the total cost. Plus, she is going to pay  of the  because that is the sales tax. 

First, we need to convert our percentages into decimals in order to multiply. 

Next, we can write a numeric expression and solve:

Example Question #5 : Rewrite An Expression: Ccss.Math.Content.7.Ee.A.2

Gail is going to buy a new camera. The camera costs  plus a  sales tax. What is the total price that Gail will pay for her new camera? 

 

Possible Answers:

Correct answer:

Explanation:

We know that Gail is going to pay  of the  cell phone because that is the total cost. Plus, she is going to pay  of the  because that is the sales tax. 

First, we need to convert our percentages into decimals in order to multiply. 

Next, we can write a numeric expression and solve:

Learning Tools by Varsity Tutors