We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : Proportions

Study concepts, example questions & explanations for Algebra 1

Create An Account

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1 2 3 4 5 6 7 8 9 10 11 Next →

Example Question #61 : Proportions

Solve: $\frac{2}{x}= \frac{6}{5}$

Possible Answers:

$\frac{5}{3}$

$\frac{12}{5}$

$\frac{8}{5}$

$\frac{13}{5}$

$\frac{3}{5}$

Correct answer:

$\frac{5}{3}$

Explanation:

To solve the proportion, we will need to cross multiply.

$2\times 5= 6 \times x$

Simplify both sides.

10=6x

Divide by six on both sides.

$\frac{10}{6}=x$

Reduce the fraction.

$x=\frac{5}{3}$

Report an Error

Example Question #62 : Proportions

Solve the proportion: $\frac{1}{6} = \frac{6}{5x}$

Possible Answers:

$\frac{5}{12}$

$\frac{36}{5}$

$\frac{1}{5}$

$\frac{12}{5}$

$\frac{5}{36}$

Correct answer:

$\frac{36}{5}$

Explanation:

To solve this proportion, cross multiply the terms.

5x=36

Divide by five on both sides.

$\frac{5x}{5}=\frac{36}{5}$

Simplify both sides.

The answer is: $\frac{36}{5}$

Report an Error

Example Question #63 : Proportions

Solve the proportion: $\frac{1}{6} = \frac{6}{5x}$

Possible Answers:

$\frac{1}{5}$

$\frac{36}{5}$

$\frac{5}{12}$

$\frac{5}{36}$

$\frac{12}{5}$

Correct answer:

$\frac{36}{5}$

Explanation:

To solve this proportion, cross multiply the terms.

5x=36

Divide by five on both sides.

$\frac{5x}{5}=\frac{36}{5}$

Simplify both sides.

The answer is: $\frac{36}{5}$

Report an Error

Example Question #64 : Proportions

Adam cleaned 8 cars in 2 days. How many days will it take him to clean 12 cars? Assume the relationship is directly proportional.

Possible Answers:

3 days

3.5 days

2.5 days

6 days

4 days

Correct answer:

3 days

Explanation:

When solving a proportion, we will first set up two ratios and set them equal to each other. We know Adam cleaned 8 cars in 2 days. We create a ratio using that information.

$\frac{8 \text{ cars}}{2 \text{ days}}\ \ \text{or} \ \ \frac{8}{2}$

The question asks how many days does it take Adam to clean 12 cars. So, we know the number of cars. We do not know the number of days, so we will use a variable. We get

$\frac{12 \text{ cars}}{x} \ \ \text{or} \ \ \frac{12}{x}$

Now, we can set the two ratios equal to each other and solve.

$\frac{8}{2} = \frac{12}{x}$

To solve, we cross multiply. We get

8x = 24

Now, we solve for x.

$\frac{8x}{8} = \frac{24}{8}$

x = 3

Therefore, it will take Adam 3 days to clean 12 cars.

Report an Error

Example Question #65 : Proportions

Solve the proportion: $\frac{7}{8} = \frac{x}{9}$

Possible Answers:

$\frac{72}{7}$

$\frac{63}{8}$

$\frac{7}{72}$

Correct answer:

$\frac{63}{8}$

Explanation:

Solve by cross multipling the terms of the fractions.

7(9) = 8x

Simplify and solve for x.

63=8x

Divide by eight on both sides.

$\frac{63}{8}=\frac{8x}{8}$

$x=\frac{63}{8}$

The answer is: $\frac{63}{8}$

Report an Error

Example Question #66 : Proportions

Solve the proportion: $\frac{3}{8}= \frac{4}{x}$

Possible Answers:

$\frac{3}{32}$

$\frac{32}{3}$

$\frac{2}{3}$

$\frac{3}{2}$

$\frac{23}{2}$

Correct answer:

$\frac{32}{3}$

Explanation:

Cross multiply the two fractions.

3x=32

Divide by three on both sides.

$\frac{3x}{3}=\frac{32}{3}$

The answer is: $\frac{32}{3}$

Report an Error

Example Question #67 : Proportions

Solve the proportion: $\frac{2}{9} =\frac{x}{8}$

Possible Answers:

$\frac{16}{9}$

$\frac{9}{16}$

$\frac{1}{36}$

$\frac{8}{3}$

Correct answer:

$\frac{16}{9}$

Explanation:

To solve the proportion, we need to cross multiply.

16=9x

Divide by 9 on both sides.

$\frac{16}{9}=\frac{9x}{9}$

Simplify both sides.

$\frac{16}{9}=x$

The answer is: $\frac{16}{9}$

Report an Error

Example Question #68 : Proportions

Solve for : $\frac{2}{x} = \frac{x}{8}$

Possible Answers:

$\pm8$

$\pm4$

Correct answer:

$\pm4$

Explanation:

Cross multiply both fractions on each side.

(2)(8)=(x)(x)

16 =x^2

Square root both sides.

$\sqrt{16} =\sqrt{x^2}$

$x=\pm4$

Check both solutions to ensure that both answers will satisfy the original proportion.

The answer is: $\pm4$

Report an Error

Example Question #69 : Proportions

Solve the proportion: $\frac{6}{x}= \frac{1}{7}$

Possible Answers:

$\frac{1}{3}$

$\frac{1}{13}$

$\frac{1}{42}$

Correct answer:

Explanation:

In order to solve for x, first cross multiply the fractions.

(6)(7) =(1)(x)

Simplify both sides of the equation.

42=x

The answer is .

Report an Error

Example Question #70 : Proportions

Solve the proportion: $\frac{2+x}{6}= \frac{3x}{7}$

Possible Answers:

$\frac{7}{4}$

$\frac{14}{11}$

$\frac{23}{14}$

Correct answer:

$\frac{14}{11}$

Explanation:

Cross multiply the terms.

7(2+x)= 6(3x)

Distribute and simplify both sides of the equation.

14+7x=18x

Subtract on both sides.

14+7x-7x=18x-7x

14=11x

Divide by eleven on both sides.

$x=\frac{14}{11}$

The answer is: $\frac{14}{11}$

Report an Error

← Previous 1 2 3 4 5 6 7 8 9 10 11 Next →

View Algebra Tutors

Rima
Certified Tutor

Lebanese university , Master's/Graduate, Marketing and Management .

View Algebra Tutors

Ayan
Certified Tutor

Vellore Institute of Technology, Bachelor, Chemical Engineering. University of Calgary, Master's/Graduate, Chemical and Petro...

View Algebra Tutors

Alena
Certified Tutor

Mogilevsky State Pedagogical Institute, Bachelor in Arts, Mathematics. Mogilevsky State Pedagogical Institute, Masters, Mathe...

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Calculus Tutors in Seattle, Calculus Tutors in Denver, Math Tutors in Phoenix, Computer Science Tutors in Phoenix, Algebra Tutors in Chicago, Math Tutors in Houston, MCAT Tutors in Washington DC, Algebra Tutors in New York City, Chemistry Tutors in San Francisco-Bay Area, Algebra Tutors in Boston

Popular Courses & Classes

ACT Courses & Classes in Philadelphia, ACT Courses & Classes in Atlanta, ISEE Courses & Classes in San Diego, ISEE Courses & Classes in Washington DC, GRE Courses & Classes in Atlanta, GRE Courses & Classes in Boston, ISEE Courses & Classes in Denver, MCAT Courses & Classes in Philadelphia, MCAT Courses & Classes in Seattle, SAT Courses & Classes in Dallas Fort Worth

Popular Test Prep

LSAT Test Prep in Seattle, SSAT Test Prep in Phoenix, ISEE Test Prep in Denver, ISEE Test Prep in Dallas Fort Worth, GRE Test Prep in New York City, ACT Test Prep in Washington DC, SSAT Test Prep in Chicago, MCAT Test Prep in Denver, GRE Test Prep in Atlanta, GRE 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

Algebra 1 : Proportions

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #61 : Proportions

Example Question #62 : Proportions

Example Question #63 : Proportions

Example Question #64 : Proportions

Example Question #65 : Proportions

Example Question #66 : Proportions

Example Question #67 : Proportions

Example Question #68 : Proportions

Example Question #69 : Proportions

Example Question #70 : Proportions

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: