Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: 7th Grade Math : Expressions & Equations

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

Create An Account

All Common Core: 7th Grade Math Resources

7 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : Solve Multi Step Problems With Positive And Negative Rational Numbers: Ccss.Math.Content.7.Ee.B.3

If a server at a restaurant gets a $15\%$ tip on a bill of $\$57$ , then what will be the amount of the tip?

Possible Answers:

$\$8.55$

$\$8.40$

$\$8.50$

$\$8.60$

$\$8.45$

Correct answer:

$\$8.55$

Explanation:

The first step to solving this problem is determining what operation we are going to use.

Think:we know that the tip is going to be $15\%$ of $\$57$ . The keyword "of" gives us a clue and indicates that we are going to multiply.

As we have learned in previous lessons, we need to convert our percentage into a decimal before we are able to multiply:

$15\%\rightarrow0.15$

Next, we can perform the multiplication operation and find the tip:

$\frac{\begin{array}[b]{r}57\\ \times\ .15\end{array}}{ \ \ \space 8.55}$

The server's tip will be $\$8.55$

Report an Error

Example Question #11 : Solve Multi Step Problems With Positive And Negative Rational Numbers: Ccss.Math.Content.7.Ee.B.3

If a server at a restaurant gets a $20\%$ tip on a bill of $\$25$ , then what will be the amount of the tip?

Possible Answers:

$\$4.50$

$\$2.50$

$\$4.20$

$\$3.25$

$\$5.00$

Correct answer:

$\$5.00$

Explanation:

The first step to solving this problem is determining what operation we are going to use.

We know that the tip is going to be $20\%$ of $\$25$ . The keyword "of" gives us a clue and indicates that we are going to multiply.

As we have learned in previous lessons, we need to convert our percentage into a decimal before we are able to multiply:

$20\%\rightarrow0.20$

Next, we can perform the multiplication operation and find the tip:

$\frac{\begin{array}[b]{r}25\\ \times\ .20\end{array}}{ \ \ \space 5.00}$

The server's tip will be $\$5.00$

Report an Error

Example Question #12 : Solve Multi Step Problems With Positive And Negative Rational Numbers: Ccss.Math.Content.7.Ee.B.3

If a server at a restaurant gets a $15\%$ tip on a bill of $\$15$ , then what will be the amount of the tip?

Possible Answers:

$\$2.25$

$\$2.00$

$\$3.00$

$\$2.50$

$\$2.75$

Correct answer:

$\$2.25$

Explanation:

The first step to solving this problem is determining what operation we are going to use.

We know that the tip is going to be $15\%$ of $\$15$ . The keyword "of" gives us a clue and indicates that we are going to multiply.

As we have learned in previous lessons, we need to convert our percentage into a decimal before we are able to multiply:

$15\%\rightarrow0.15$

Next, we can perform the multiplication operation and find the tip:

$\frac{\begin{array}[b]{r}15\\ \times\ .15\end{array}}{ \ \ \space 2.25}$

The server's tip will be $\$2.25$

Report an Error

Example Question #17 : Solve Multi Step Problems With Positive And Negative Rational Numbers: Ccss.Math.Content.7.Ee.B.3

If a server at a restaurant gets a $15\%$ tip on a bill of $\$42$ , then what will be the amount of the tip?

Possible Answers:

$\$4.40$

$\$4.50$

$\$4.30$

$\$4.10$

$\$6.30$

Correct answer:

$\$6.30$

Explanation:

The first step to solving this problem is determining what operation we are going to use.

Think:we know that the tip is going to be $15\%$ of $\$42$ . The keyword "of" gives us a clue and indicates that we are going to multiply.

As we have learned in previous lessons, we need to convert our percentage into a decimal before we are able to multiply:

$15\%\rightarrow0.15$

Next, we can perform the multiplication operation and find the tip:

$\frac{\begin{array}[b]{r}42\\ \times\ .15\end{array}}{ \ \ \space6.30}$

The server's tip will be $\$6.30$

Report an Error

Example Question #1 : How To Solve Two Step Equations

Let be the temperature expressed in degrees Celsius. Then the equivalent temperature in degrees Fahrenheit can be calculated using the formula:

$F = \frac{9}{5} C + 32$

What is $65^{\circ } C$ expressed in degrees Fahrenheit?

Possible Answers:

$149 ^{\circ } F$

$59.4^{\circ } F$

$85 ^{\circ } F$

$174.6^{\circ } F$

Correct answer:

$149 ^{\circ } F$

Explanation:

$F = \frac{9}{5} C + 32$

$F = \frac{9}{5} \cdot 65 + 32 = 117+32 = 149 ^{\circ } F$

Report an Error

Example Question #1 : How To Solve Two Step Equations

Let be the temperature expressed in degrees Fahrenheit. Then the equivalent temperature in degrees Celsius can be calculated using the formula:

$C = \frac{5}{9} (F-32)$

What is $80^{\circ } F$ expressed in degrees Celsius (to the nearest degree)?

Possible Answers:

$27^{\circ } C$

$12^{\circ } C$

$87^{\circ } C$

$112^{\circ } C$

Correct answer:

$27^{\circ } C$

Explanation:

$C = \frac{5}{9} (F-32)$

$C = \frac{5}{9} (80-32)$

$C = \frac{5}{9} \cdot 48 \approx 26.7$ , which rounds to $27^{\circ } C$

Report an Error

Example Question #2 : How To Solve Two Step Equations

On average, 1 in 50 apples that grow in an orchard will not be harvested. Of those, half will rot on the ground. If 500 apples are growing in an orchard, how many will rot on the ground?

Possible Answers:

Correct answer:

Explanation:

If there are 500 apples and 1 in 50 will remain unharvested, then we can find the number of unharvested apples by multiplying.

$500\times \frac{1}{50}=10$

10 apples will remain unharvested. Of those, half will rot on the ground. Multiply to find how many apples rot on the ground.

$10\times\frac{1}{2}=5$

5 apples will rot on the ground.

Report an Error

Example Question #1 : Solving Linear Equations In Word Problems

Erin is making thirty shirts for her upcoming family reunion. At the reunion she is selling each shirt for $18 apiece. If each shirt cost her $10 apiece to make, how much profit does she make if she only sells 25 shirts at the reunion?

Possible Answers:

$\$450$

$\$640$

$\$150$

$\$300$

$\$340$

Correct answer:

$\$150$

Explanation:

This problem involves two seperate multiplication problems. Erin will make $450 at the reunion but supplies cost her $300 to make the shirts. So her profit is $150.

Report an Error

Example Question #1 : Word Problems

Write as an equation:

"Ten added to the product of a number and three is equal to twice the number."

Possible Answers:

3(x+ 10 )= 2x

10x+ 3= 2x

10(x+ 3)= 2x

3x+ 10 = 2x

Correct answer:

3x+ 10 = 2x

Explanation:

Let represent the unknown quantity.

The first expression:

"The product of a number and three" is three times this number, or

"Ten added to the product" is

3x+10

The second expression:

"Twice the number" is two times the number, or

The desired equation is therefore

3x+ 10 = 2x .

Report an Error

Example Question #2 : Word Problems

Write as an equation:

Five-sevenths of the difference of a number and nine is equal to forty.

Possible Answers:

$\frac{5}{7} (y- 9) = 40$

$9 - \frac{5}{7} y = 40$

$\frac{5}{7} y- 9 = 40$

$\frac{5}{7} (9 - y) = 40$

Correct answer:

$\frac{5}{7} (y- 9) = 40$

Explanation:

"The difference of a number and nine" is the result of a subtraction of the two, so we write this as

y- 9

"Five-sevenths of" this difference is the product of $\frac{5}{7}$ and this, or

$\frac{5}{7} (y- 9)$

This is equal to forty, so write the equation as

$\frac{5}{7} (y- 9) = 40$

Report an Error

View Tutors

Ingy
Certified Tutor

University of Minnesota-Twin Cities, Bachelors, Mathematics with Actuarial Science Specialization.

View Tutors

Sarah
Certified Tutor

New York University, Bachelor of Fine Arts, Drama.

View Tutors

Justin
Certified Tutor

University of Toledo, Bachelors, Environmental Science. University of Michigan, Masters, Natural Resource Management.

All Common Core: 7th Grade Math Resources

7 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

French Tutors in Phoenix, Chemistry Tutors in San Francisco-Bay Area, Algebra Tutors in San Francisco-Bay Area, GMAT Tutors in New York City, SAT Tutors in Phoenix, GMAT Tutors in Boston, GRE Tutors in Washington DC, SSAT Tutors in New York City, Chemistry Tutors in Miami, Physics Tutors in Atlanta

Popular Courses & Classes

SAT Courses & Classes in Los Angeles, SSAT Courses & Classes in New York City, GRE Courses & Classes in Los Angeles, ISEE Courses & Classes in Atlanta, Spanish Courses & Classes in Boston, Spanish Courses & Classes in Miami, ISEE Courses & Classes in Boston, MCAT Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in Miami, GMAT Courses & Classes in Chicago

Popular Test Prep

GMAT Test Prep in New York City, SAT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Phoenix, SAT Test Prep in Dallas Fort Worth, ACT Test Prep in Denver, ISEE Test Prep in Seattle, ACT Test Prep in Dallas Fort Worth, LSAT Test Prep in Houston, GRE Test Prep in Los Angeles, LSAT Test Prep in San Francisco-Bay Area

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Common Core: 7th Grade Math : Expressions & Equations

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

All Common Core: 7th Grade Math Resources

Example Questions

Example Question #11 : Solve Multi Step Problems With Positive And Negative Rational Numbers: Ccss.Math.Content.7.Ee.B.3

Example Question #11 : Solve Multi Step Problems With Positive And Negative Rational Numbers: Ccss.Math.Content.7.Ee.B.3

Example Question #12 : Solve Multi Step Problems With Positive And Negative Rational Numbers: Ccss.Math.Content.7.Ee.B.3

Example Question #17 : Solve Multi Step Problems With Positive And Negative Rational Numbers: Ccss.Math.Content.7.Ee.B.3

Example Question #1 : How To Solve Two Step Equations

Example Question #1 : How To Solve Two Step Equations

Example Question #2 : How To Solve Two Step Equations

Example Question #1 : Solving Linear Equations In Word Problems

Example Question #1 : Word Problems

Example Question #2 : Word Problems

All Common Core: 7th Grade Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: