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

Example Question #71 : Proportions

Solve the proportion: $\frac{2x}{9} = \frac{4}{3}$

Possible Answers:

$\frac{81}{2}$

$\frac{13}{6}$

$\frac{13}{5}$

$\frac{1}{6}$

Correct answer:

Explanation:

To solve the proportion, cross multiply the fractions.

(2x)(3)=(9)(4)

Simplify both sides.

6x=36

Divide by six on both sides.

$\frac{6x}{6}=\frac{36}{6}$

Simplify both sides.

The answer is: x=6

Report an Error

Example Question #71 : Proportions

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

Possible Answers:

$\frac{7}{6}$

$\frac{6}{7}$

Correct answer:

Explanation:

Cross multiply the fractions.

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

Simplify both sides.

x=42

The answer is:

Report an Error

Example Question #1202 : Linear Equations

Solve the proportion: $\frac{2x+3}{6} = \frac{4x-3}{5}$

Possible Answers:

$-\frac{33}{14}$

$\frac{14}{33}$

$\frac{33}{8}$

$\frac{33}{14}$

$-\frac{14}{33}$

Correct answer:

$\frac{33}{14}$

Explanation:

Cross multiply the fractions.

(2x+3)(5)=(4x-3)(6)

Use the distributive property to simplify the equation.

10x+15= 24x-18

In order to group the terms, subtract 10x on both sides, and add 18 on both sides.

10x+15 -(10x)+[18]= 24x-18-(10x)+[18]

Simplify the equation.

33 = 14x

Divide by 14 on both sides and simplify.

$\frac{33}{14} = \frac{14x}{14}$

$x=\frac{33}{14}$

The answer is: $\frac{33}{14}$

Report an Error

Example Question #1203 : Linear Equations

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

Possible Answers:

$\frac{3}{8}$

$\frac{8}{3}$

$\frac{64}{9}$

$\frac{9}{64}$

Correct answer:

$\frac{9}{64}$

Explanation:

In order to solve for the unknown variable, cross multiply both fractions.

(3)(3)= (8)(8x)

Simplify both sides.

9=64x

Divide by 64 on both sides.

$x= \frac{9}{64}$

The answer is: $\frac{9}{64}$

Report an Error

Example Question #1202 : Algebra 1

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

Possible Answers:

$\frac{1}{3}$

$\frac{2}{3}$

$\frac{4}{5}$

Correct answer:

Explanation:

Cross multiply the two fractions.

2(x+2)=3x

Distribute the left side.

2x+4=3x

Subtract from both sides.

2x+4-2x=3x-2x

Simplify both sides.

4=x

The answer is:

Report an Error

Example Question #76 : Proportions

Solve the proportion: $\frac{8}{7x} =\frac{3}{4}$

Possible Answers:

$\frac{28}{11}$

$\frac{32}{21}$

$\frac{7}{3}$

$\frac{6}{5}$

$\frac{3}{7}$

Correct answer:

$\frac{32}{21}$

Explanation:

Cross multiply the two fractions.

8(4)= (7x)(3)

Simplify both sides.

32 = 21x

Divide by 21 on both sides to isolate the x-variable.

$\frac{32}{21} =\frac{ 21x}{21}$

Reduce the right side of the equation. The left side of the equation is irreducible.

The answer is: $x=\frac{32}{21}$

Report an Error

Example Question #1203 : Algebra 1

Solve the proportion: $\frac{3}{4} = \frac{2(x+2)}{3}$

Possible Answers:

$-\frac{7}{8}$

$\frac{2}{3}$

$\frac{1}{8}$

Correct answer:

$-\frac{7}{8}$

Explanation:

Cross multiply the two fractions.

(3)(3)= 2(4)(x+2)

Simplify both sides of the equation.

9=8x+16

Subtract 16 from both sides and simplify the equation.

9-16=8x+16-16

-7=8x

Divide by eight on both sides.

$\frac{-7}{8}=\frac{8x}{8}$

The answer is: $x=-\frac{7}{8}$

Report an Error

Example Question #78 : Proportions

Solve the proportion: $\frac{2}{x+1} = \frac{3}{x+2}$

Possible Answers:

$-\frac{3}{2}$

$-\frac{2}{3}$

$\frac{3}{4}$

Correct answer:

Explanation:

To solve the proportion, cross multiply both sides of the equation.

2(x+2)=3(x+1)

Distribute the terms to simplify.

2x+4=3x+3

Subtract from both sides.

4=x+3

Subtract three from both sides.

x=1

The answer is:

Report an Error

Example Question #79 : Proportions

Solve the proportion: $\frac{3x}{2x+1} = \frac{8}{3}$

Possible Answers:

$-\frac{8}{7}$

$-\frac{5}{3}$

$\textup{No solution.}$

$-\frac{1}{7}$

$-\frac{10}{13}$

Correct answer:

$-\frac{8}{7}$

Explanation:

Before we cross multiply, we have to make sure to note that there is an existent in the denominator. Recall that a denominator cannot be zero.

Set the denominator equal to zero and solve for .

2x+1=0

2x=-1

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

The final answer cannot be $x=-\frac{1}{2}$ after solving the proportion.

Cross multiply the fractions given.

3(3x)=8(2x+1)

Simplify by distribution.

9x=16x+8

Subtract on both sides and simplify.

9x-9x=16x+8-9x

0=7x+8

Subtract on both sides.

-8=7x

Divide by on both sides.

$\frac{-8}{7}=\frac{7x}{7}$

The answer is: $x=-\frac{8}{7}$

Report an Error

Example Question #73 : Proportions

Solve the proportion: $\frac{3x}{7} = \frac{1}{14}$

Possible Answers:

$-\frac{97}{3}$

$\frac{1}{6}$

$-\frac{1}{6}$

$\frac{97}{3}$

Correct answer:

$\frac{1}{6}$

Explanation:

Cross multiply both fractions.

(3x)(14) = 7(1)

Simplify both sides.

42x=7

In order to isolate x, we will need to divide both sides by 42.

$\frac{42x}{42}=\frac{7}{42}$

Reduce both fractions on the left and right side.

The answer is: $x= \frac{1}{6}$

Report an Error

View Algebra Tutors

Jhemson
Certified Tutor

Batangas State University, Doctor of Philosophy, Mathematics.

View Algebra Tutors

Dalton
Certified Tutor

University of Massachusetts Amherst, Doctor of Philosophy, Mathematics.

View Algebra Tutors

Samantha
Certified Tutor

University of Colorado Boulder, Bachelor of Science, Molecular Biochemistry.

All Algebra 1 Resources

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

Popular Subjects

Physics Tutors in Washington DC, Chemistry Tutors in Washington DC, French Tutors in Seattle, English Tutors in Washington DC, Chemistry Tutors in Chicago, GRE Tutors in Chicago, Math Tutors in Denver, MCAT Tutors in Seattle, LSAT Tutors in Chicago, SSAT Tutors in Dallas Fort Worth

Popular Courses & Classes

LSAT Courses & Classes in Philadelphia, ACT Courses & Classes in San Diego, GMAT Courses & Classes in Washington DC, MCAT Courses & Classes in Phoenix, LSAT Courses & Classes in New York City, SSAT Courses & Classes in Denver, GRE Courses & Classes in Chicago, ACT Courses & Classes in Boston, Spanish Courses & Classes in Seattle, MCAT Courses & Classes in Seattle

Popular Test Prep

GMAT Test Prep in San Diego, LSAT Test Prep in Philadelphia, ISEE Test Prep in Phoenix, SAT Test Prep in Miami, MCAT Test Prep in Atlanta, ACT Test Prep in Denver, ACT Test Prep in San Diego, SAT Test Prep in Phoenix, SSAT Test Prep in Boston, SSAT Test Prep in Chicago

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 #71 : Proportions

Example Question #71 : Proportions

Example Question #1202 : Linear Equations

Example Question #1203 : Linear Equations

Example Question #1202 : Algebra 1

Example Question #76 : Proportions

Example Question #1203 : Algebra 1

Example Question #78 : Proportions

Example Question #79 : Proportions

Example Question #73 : Proportions

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: