Common Core: 7th Grade Math : Expressions & Equations

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

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Example Questions

Example Question #6 : Rewrite An Expression: Ccss.Math.Content.7.Ee.A.2

Elizabeth is going to buy concert tickets. The concert tickets costs  plus a  sales tax. What is the total price that Elizabeth will pay for her concert tickets? 

 

Possible Answers:

Correct answer:

Explanation:

We know that Elizabeth is going to pay  of the  concert 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 #7 : Rewrite An Expression: Ccss.Math.Content.7.Ee.A.2

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

 

Possible Answers:

Correct answer:

Explanation:

We know that Laura 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 #8 : Rewrite An Expression: Ccss.Math.Content.7.Ee.A.2

Kara is going to buy concert tickets. The tickets cost  plus a  sales tax. What is the total price that Kara will pay for her concert tickets? 

 

Possible Answers:

Correct answer:

Explanation:

We know that Kara is going to pay  of the  concert tickets 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 #9 : Rewrite An Expression: Ccss.Math.Content.7.Ee.A.2

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

 

Possible Answers:

Correct answer:

Explanation:

We know that Liz 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 #10 : Rewrite An Expression: Ccss.Math.Content.7.Ee.A.2

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

 

Possible Answers:

Correct answer:

Explanation:

We know that Tamara 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 #31 : Expressions & Equations

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

 

Possible Answers:

Correct answer:

Explanation:

We know that Christina is going to pay  of the  camera 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 #31 : Expressions & Equations

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

Possible Answers:

Correct answer:

Explanation:

We know that Addison 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 #1 : Solve Multi Step Problems With Positive And Negative Rational Numbers: Ccss.Math.Content.7.Ee.B.3

Define an operation  on the set of real numbers as follows:

If , then what is ?

Possible Answers:

Correct answer:

Explanation:

,

so

.

If

then

Example Question #2 : Solve Multi Step Problems With Positive And Negative Rational Numbers: Ccss.Math.Content.7.Ee.B.3

Define an operation  on the set of real numbers as follows:

.

If , evaluate .

Possible Answers:

Correct answer:

Explanation:

so

Equivalently

, so set this equal to :

 

Example Question #3 : Solve Multi Step Problems With Positive And Negative Rational Numbers: Ccss.Math.Content.7.Ee.B.3

Define an operation  on the set of real numbers as follows:

.

If ,  then evaluate .

Possible Answers:

Correct answer:

Explanation:

,

so

Set this equal to 0.1:

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