Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: 7th Grade Math : Ratios & Proportional Relationships

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 #1 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

How much would a $\$30$ product sold for $20\%$ off cost?

Possible Answers:

$\$20$

$\$36$

$\$24$

$\$25$

Correct answer:

$\$24$

Explanation:

First, find $20\%$ of $\$30$ :

$0.2\cdot \$30=\$6$

Then, subtract this value from the whole:

$\$30-\$6=\$24$

Report an Error

Example Question #2 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

How much would a $\$110$ product sold for $10\%$ off cost?

Possible Answers:

$\$100$

$\$11$

$\$10$

$\$99$

Correct answer:

$\$99$

Explanation:

First, find $10\%$ of $\$110$ :

$0.1\cdot \$110=\$11$

Then, subtract this value from the whole:

$\$110-\$11=\$99$

Report an Error

Example Question #3 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

200 percent of what number is equal to the difference between 75 and 25?

Possible Answers:

$\small 30$

$\small 20$

$\small 200$

$\small 25$

$\small 50$

Correct answer:

$\small 25$

Explanation:

We must first start by finding the difference between $\small 75$ and $\small 25$ :

$\small 75-25 = 50$

Next find the decimal equivalent of $\small 200$ %, which is done by dividing by $\small 100$ :

$\small 200/100 = 2$

Now we divide $\small 50$ by $\small 2$ .

$\small 50/2 = 25$

Our final answer is $\small 25$ , because when it is multiplied by $\small 200$ %, it equals the difference between $\small 75$ and $\small 25$ .

Report an Error

Example Question #1 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

What is the sale price of a game if it is % off the original price of $\$35.00$ ?

Possible Answers:

$\$34.65$

$\$22.75$

$\$35.00$

$\$27.00$

$\$22.00$

Correct answer:

$\$22.75$

Explanation:

First, multiply:

$35\ast .35=12.25$

Then subtract that amount from the original price:

35.00-12.25=22.75

Answer: The sale price is $\$22.75$ .

Report an Error

Example Question #4 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

What is the sale price of a carton of milk if it is % off the original price of $\$3.20$ ?

Possible Answers:

$\$2.30$

$\$1.00$

$\$1.20$

$\$2.88$

$\$3.00$

Correct answer:

$\$2.88$

Explanation:

First, multiply:

$3.20\ast .10=.32$

Then subtract that amount from the original price:

3.20-.32=2.88

Answer: The sale price is $\$2.88$ .

Report an Error

Example Question #3 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

What is the sale price of a pair of shoes if it is % off the original price of $\$90.00$ ?

Possible Answers:

$\$32.00$

$\$50.00$

$\$62.50$

$\$49.50$

$\$60.00$

Correct answer:

$\$49.50$

Explanation:

First, multiply:

$90.00\ast .45=40.50$

Then subtract that amount from the original price:

90.00-40.50=49.50

Answer: The sale price is $\$49.50$ .

Report an Error

Example Question #2 : How To Find The Whole From The Part With Percentage

240 is 30% of what number?

Possible Answers:

720

960

800

Correct answer:

800

Explanation:

Set up the proportion statement and solve for :

$\frac{240}{N}= \frac{30}{100}$

Cross-multiply:

$N\cdot 30 = 240\cdot 100 = 24,000$

$N\cdot 30 \div 30= 24,000 \div 30$

N=800

Report an Error

Example Question #6 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

420 is 150% of what number?

Possible Answers:

630

840

300

280

210

Correct answer:

280

Explanation:

Set up the proportion statement and solve for by cross-multiplying:

$\frac{420}{N}= \frac{150}{100}$

$N \cdot 150 = 420 \cdot 100 = 42,000$

$N \cdot 150 \div 150 = 42,000 \div 150$

N = 280

Report an Error

Example Question #4 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

What number increased by 25% is equal to 7?

Possible Answers:

$5\frac{5}{6}$

$5\frac{1}{4}$

$4\frac{2}{3}$

$5 \frac{3}{5}$

Correct answer:

$5 \frac{3}{5}$

Explanation:

To increase a number by 25% is to take

$(100 + 25) \% = 125 \%$ of the number, or, equivalently, multiply it by

$\frac{125}{100} = \frac{125 \div 25 }{100 \div 25 } = \frac{5}{4}$ .

Therefore, we divide 7 by $\frac{5}{4}$ :

$7 \div \frac{5}{4} = \frac{7 }{1}\div \frac{5}{4} = \frac{7 }{1}\times \frac{4} {5}= \frac{7\times 4 }{1\times 5} = \frac{28}{5}$

$28 \div 5 = 5 \textup{ R }3$ , so

$\frac{28}{5} = 5 \frac{3}{5}$ .

Report an Error

Example Question #5 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

What number decreased by 25% is equal to 7?

Possible Answers:

$9 \frac{1}{7}$

$8\frac{3}{4}$

$9 \frac{1}{3}$

$8\frac{2}{5}$

Correct answer:

$9 \frac{1}{3}$

Explanation:

To decrease a number by 25% is to take

$(100 - 25) \% = 75 \%$ of the number, or, equivalently, multiply it by

$\frac{75}{100} = \frac{75 \div 25 }{100 \div 25 } = \frac{3}{4}$ .

Therefore, we divide 7 by $\frac{3}{4}$ :

$7 \div \frac{3}{4} = \frac{7 }{1}\div \frac{3}{4} = \frac{7 }{1}\times \frac{4} {3}= \frac{7\times 4 }{1\times 3} = \frac{28}{3}$

$28 \div 3 = 9 \textup{ R }1$ , so

$\frac{28}{3} = 9 \frac{1}{3}$ .

Report an Error

View Tutors

David
Certified Tutor

Kent State University, Bachelors, Marketing. Kent State University at Kent, Masters in Education, Special Education.

View Tutors

Rainier
Certified Tutor

Norfolk State University, Bachelors, Physics.

View Tutors

Patrick
Certified Tutor

LeTourneau University, Bachelors, Electrical Engineering. LeTourneau University, Masters, Electrical Engineering.

All Common Core: 7th Grade Math Resources

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

Popular Subjects

Math Tutors in Boston, GMAT Tutors in Phoenix, Chemistry Tutors in San Francisco-Bay Area, French Tutors in Miami, ACT Tutors in Atlanta, Statistics Tutors in Los Angeles, ISEE Tutors in Washington DC, Reading Tutors in Miami, SSAT Tutors in Seattle, French Tutors in Philadelphia

Popular Courses & Classes

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

Popular Test Prep

SSAT Test Prep in Seattle, GRE Test Prep in Dallas Fort Worth, ISEE Test Prep in Washington DC, ACT Test Prep in New York City, ACT Test Prep in San Francisco-Bay Area, LSAT Test Prep in Los Angeles, SSAT Test Prep in Miami, ACT Test Prep in Washington DC, SSAT Test Prep in Los Angeles, GMAT Test Prep in Los Angeles

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 : Ratios & Proportional Relationships

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

All Common Core: 7th Grade Math Resources

Example Questions

Example Question #1 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

Example Question #2 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

Example Question #3 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

Example Question #1 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

Example Question #4 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

Example Question #3 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

Example Question #2 : How To Find The Whole From The Part With Percentage

Example Question #6 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

Example Question #4 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

Example Question #5 : Use Proportional Relationships To Solve Multistep Ratio And Percent Problems: Ccss.Math.Content.7.Rp.A.3

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: