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 #11 : Proportions

Find .

$\frac{2}{9}=\frac{x}{36}$

Possible Answers:

Correct answer:

Explanation:

This is a proportion problem. To find , we can use the cross-multiply method. This methods works by, first, multiplying the numerator of the first fraction with the denominator of the second fraction. Set this multiplication equal to the multiplication of the denominator of the first fraction with the numerator of the second fraction. In our problem, this is written as

2(36)=9x

72=9x

divide by 9

$\frac{72}{9}=\frac{9x}{9}$

x=8

Report an Error

Example Question #12 : Proportions

I have a bag full of blue and red marbles. If the ratio of blue to red marbles is 1:4 and if I have 16 blue ones, how many red marbles are in the bag.

Possible Answers:

Correct answer:

Explanation:

First, translate the problem into a proportion equation. We have the ratio 1:4. Therefore, we have the fraction $\frac{1}{4}$ . Set that fraction equal to the number of blue (which is 16) marbles divide by the number of red marbles.

$\frac{1}{4}=\frac{16}{r}$

We need to find , the number of red marbles. Perform the cross multiplication

1r=4(16)

r=64

So there are 64 red marbles.

Report an Error

Example Question #13 : Proportions

If 3x=141 , what is the value of ?

Possible Answers:

Correct answer:

Explanation:

For this problem, we can divide both sides of the original equation by to obtain our answer. Another way we can solve this problem, however, is by using a proportion,

$\frac{3x}{141}=\frac{-x}{y}$

Cross-multiplication yields the equation

3xy=-141x

Dividing both sides by gives us

3y=-141

an equation that can be easily solved to get

y=-47

Report an Error

Example Question #14 : Proportions

Solve:

$\frac{(x+3)}{4}=\frac{7}{16}$

Possible Answers:

x=-3

$x=\frac{1}{}4$

$x=\frac{3}{4}$

$x=-\frac{5}{4}$

x=5

Correct answer:

$x=-\frac{5}{4}$

Explanation:

Multiply diagonally so that you get 16x+48=28 .

Isolate for and you get $-\frac{20}{16}$ .

Simplify and you get $-\frac{5}{4}$ .

Report an Error

Example Question #11 : Proportions

$\frac{(9x+5)}{4}=\frac{2x}{8}$

Possible Answers:

$x=\frac{1}{8}$

x=8

$x=-\frac{8}{5}$

$x=-\frac{3}{4}$

$x=-\frac{5}{8}$

Correct answer:

$x=-\frac{5}{8}$

Explanation:

Cross-multiply and you get 8x=72x+40.

Isolate for and you get $-\frac{5}{8}$ .

Report an Error

Example Question #1141 : Linear Equations

A car uses up gallons of gas in miles. Which expression best represents the distance, in kilometers, that the car can travel on 15 gallons of gas?

(1 mile is equivalent to 1.6 kilometers.)

Possible Answers:

$\frac{75x}{8y}$

$\frac{24y}{x}$

$\frac{24x}{y}$

90xy

$\frac{75y}{8x}$

Correct answer:

$\frac{24y}{x}$

Explanation:

gallons will allow the car to travel miles, or 1.6y kilometers.

Set up a proportion, where is the distance:

$\small \frac{d}{15} = \frac{1.6y}{x}$

Solve for :

$\small d = \frac{1.6y}{x} \cdot 15$

$d = \frac{24y}{x}$

Report an Error

Example Question #17 : Proportions

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

Possible Answers:

$\pm4$

Correct answer:

$\pm4$

Explanation:

To solve the proportion, cross multiply.

x^2=16

$x=\sqrt{16}$

$x=\pm 4$

The correct answer is $\pm4$ since both numbers satisfy the original problem.

Report an Error

Example Question #12 : Proportions

Solve for .

$\frac{1}{2}=\frac{3}{x}$

Possible Answers:

Correct answer:

Explanation:

Cross multiply.

$\frac{1}{2}=\frac{3}{x}$

We get

$\\1\cdot x=2\cdot 3\\ x=6$ .

That's the answer.

Report an Error

Example Question #1143 : Algebra 1

Solve for

$\frac{2}{5}=\frac{x}{3}$

Possible Answers:

$\frac{5}{6}$

$\frac{4}{9}$

$\frac{6}{5}$

$\frac{2}{3}$

$\frac{3}{2}$

Correct answer:

$\frac{6}{5}$

Explanation:

Let's cross multiply.

$\frac{2}{5}=\frac{x}{3}$

We have

$\\2\cdot 3=5\cdot x \\6=5x$ .

Divide both sides by .

$x=\frac{6}{5}$ .

Report an Error

Example Question #20 : Proportions

Solve for .

$\frac{3}{4}=\frac{x}{2}$

Possible Answers:

$\frac{2}{3}$

$\frac{1}{6}$

$\frac{3}{2}$

$\frac{1}{2}$

Correct answer:

$\frac{3}{2}$

Explanation:

Let's cross multiply.

$\frac{3}{4}=\frac{x}{2}$

We have

$\\4\cdot x=3\cdot 2\\4x=6$ .

Divide both sides by , we get

$x=\frac{6}{4}=\frac{3}{2}$ .

The answer is reduced and we do that by dividing top and bottom by .

Report an Error

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

View Algebra Tutors

Eliza
Certified Tutor

University of Pennsylvania, Bachelor in Arts, Economics.

View Algebra Tutors

Gary
Certified Tutor

Montana State University, Bachelor of Science, Mathematics Teacher Education. Western Carolina University, Master of Arts, Ma...

View Algebra Tutors

John
Certified Tutor

The University of Texas at Arlington, Bachelor of Science, Mathematics. Stanford University, Master of Science, Aerospace Eng...

All Algebra 1 Resources

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

Popular Subjects

ISEE Tutors in New York City, SAT Tutors in Philadelphia, Chemistry Tutors in Dallas Fort Worth, GRE Tutors in Washington DC, Chemistry Tutors in Phoenix, SSAT Tutors in San Francisco-Bay Area, Physics Tutors in Los Angeles, Physics Tutors in Denver, French Tutors in Chicago, Algebra Tutors in Chicago

Popular Courses & Classes

GRE Courses & Classes in Washington DC, ISEE Courses & Classes in Los Angeles, GRE Courses & Classes in Atlanta, MCAT Courses & Classes in Chicago, MCAT Courses & Classes in Philadelphia, GRE Courses & Classes in Phoenix, SAT Courses & Classes in Denver, Spanish Courses & Classes in Boston, LSAT Courses & Classes in Los Angeles, GMAT Courses & Classes in Los Angeles

Popular Test Prep

ISEE Test Prep in Houston, SAT Test Prep in San Francisco-Bay Area, GMAT Test Prep in San Francisco-Bay Area, SAT Test Prep in Boston, GRE Test Prep in Seattle, ISEE Test Prep in Chicago, ISEE Test Prep in Washington DC, GMAT Test Prep in Dallas Fort Worth, SSAT Test Prep in Dallas Fort Worth, LSAT Test Prep in Philadelphia

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 #11 : Proportions

Example Question #12 : Proportions

Example Question #13 : Proportions

Example Question #14 : Proportions

Example Question #11 : Proportions

Example Question #1141 : Linear Equations

Example Question #17 : Proportions

Example Question #12 : Proportions

Example Question #1143 : Algebra 1

Example Question #20 : Proportions

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: