Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : ACT Math

Study concepts, example questions & explanations for ACT Math

Create An Account

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Solve For A Variable As Part Of A Fraction

Solve the following equation for the given variable:

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

Possible Answers:

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

$x = \frac{8}{3}$

$x = \frac{1}{5}$

$x = \frac{1}{6}$

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

Correct answer:

$x = \frac{1}{6}$

Explanation:

To solve this equation we have to multiply both sides by the denominator to get rid of the fraction.

Doing this yields

2 = 12x

Then to solve the last step is to isolate the variable by dividing both sides by 12.
Thus,

$x = \frac{2}{12}=\frac{1}{6}$ .

Report an Error

Example Question #5 : How To Solve For A Variable As Part Of A Fraction

For what value of is the equation $\frac{4}{12}=\frac{5}{x}$ true?

Possible Answers:

Correct answer:

Explanation:

When the equation is cross multiplied, it becomes

$\\ 4\cdot x=5\cdot 12 \\4x = 60$ .

Hence,

$x =\frac{60}{4}$ , or x=15 .

Report an Error

Example Question #6 : How To Solve For A Variable As Part Of A Fraction

Solve the following equation for :

$\frac{36}{5x} = 4$ .

Reduce any fractions in your final answer.

Possible Answers:

x = 5

x = 3

$x = \frac{5}{9}$

$x = \frac{36}{20}$

$x = \frac{9}{5}$

Correct answer:

$x = \frac{9}{5}$

Explanation:

To solve an equation with a variable in a fraciton, treat the denominator as a constant value and multiply both sides of the equation by the denominator in order to eliminate it.
$\\5x * \left(\frac{36}{5x}\right) = 4 * 5x\\ \newline 36 = 20x \newline \newline \frac{36}{20} = x \\ \newline \frac{9}{5}= x$

Report an Error

Example Question #1 : How To Solve For A Variable As Part Of A Fraction

Solve for : $\frac{x}{12}=3$

Possible Answers:

$\frac{1}{36}$

$\frac{1}{3}$

Correct answer:

Explanation:

To find the answer, multiply the right side by . The result is 36=x .

Report an Error

Example Question #61 : Algebraic Fractions

Solve for :

$\frac{3}{4}=\frac{5x+10}{20}$

Possible Answers:

Correct answer:

Explanation:

To solve this problem you must cross mutiply, then set the two equations equal to each other. Your first equation is $3\left ( 20\right )$ , your second is $4\left ( 5x+10\right )=20+40$ . This gives you 60=20x+40 . Subtract from both sides, so you have 20=20x , divide by on both sides and you have x=1 .

Report an Error

Example Question #11 : How To Solve For A Variable As Part Of A Fraction

Solve for :

$\frac{14}{x+3}=\frac{2}{3}$

Possible Answers:

19.5

Correct answer:

Explanation:

Cross multiply: 42=2(x+3)

Distribute: 42=2x+6

Solve for : 36=2x

18=x

Report an Error

Example Question #12 : How To Solve For A Variable As Part Of A Fraction

Solve for :

$\frac{x}{3}=\frac{3}{12}$

Possible Answers:

$\frac{4}{3}$

$\frac{3}{4}$

Correct answer:

$\frac{3}{4}$

Explanation:

Cross-multiply: 12x=9

Solve for : $x=\frac{9}{12}$

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

Report an Error

Example Question #13 : How To Solve For A Variable As Part Of A Fraction

Solve for :

$\frac{12x+3}{2}=\frac{4}{5}$

Possible Answers:

$-\frac{1}{12}$

$-\frac{1}{10}$

$\frac{-7}{60}$

Correct answer:

$\frac{-7}{60}$

Explanation:

Cross-multiply: 5(12x+3)=8

Distribute: 60x+15=8

Solve for : 60x=-7

$x=\frac{-7}{60}$

Report an Error

Example Question #11 : How To Solve For A Variable As Part Of A Fraction

Solve for :

$\frac{x+4}{3}=\frac{4}{5}$

Possible Answers:

$\frac{1}{3}$

$-\frac{8}{5}$

$\frac{2}{3}$

$-\frac{5}{8}$

Correct answer:

$-\frac{8}{5}$

Explanation:

Begin by cross-multiplying:

5x+20=12

Now, solve for .

5x=-8

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

Report an Error

Example Question #14 : How To Solve For A Variable As Part Of A Fraction

Solve for :

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

Possible Answers:

$\frac{13}{3}$

$\frac{11}{3}$

$\frac{14}{3}$

$\frac{4}{3}$

Correct answer:

$\frac{14}{3}$

Explanation:

Begin by cross multiplying.

8=3x-6

Next, solve for .

14=3x

$x=\frac{14}{3}$

Report an Error

View ACT Math Tutors

Satweka
Certified Tutor

The University of Texas at Dallas, Master of Science, Biomedical Engineering.

View ACT Math Tutors

Joy
Certified Tutor

Boston University, Bachelor in Arts, Conservation Biology.

View ACT Math Tutors

Quang
Certified Tutor

Georgetown University, Bachelor of Science, Finance.

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

ACT Math Tutors in Top Cities:

Atlanta ACT Math Tutors, Austin ACT Math Tutors, Boston ACT Math Tutors, Chicago ACT Math Tutors, Dallas Fort Worth ACT Math Tutors, Denver ACT Math Tutors, Houston ACT Math Tutors, Kansas City ACT Math Tutors, Los Angeles ACT Math Tutors, Miami ACT Math Tutors, New York City ACT Math Tutors, Philadelphia ACT Math Tutors, Phoenix ACT Math Tutors, San Diego ACT Math Tutors, San Francisco-Bay Area ACT Math Tutors, Seattle ACT Math Tutors, St. Louis ACT Math Tutors, Tucson ACT Math Tutors, Washington DC ACT Math Tutors

Popular Courses & Classes

ACT Courses & Classes in Seattle, ISEE Courses & Classes in Los Angeles, ACT Courses & Classes in Phoenix, GRE Courses & Classes in Washington DC, Spanish Courses & Classes in Dallas Fort Worth, SAT Courses & Classes in Chicago, GMAT Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in Atlanta, ACT Courses & Classes in Los Angeles, LSAT Courses & Classes in Denver

Popular Test Prep

SSAT Test Prep in Los Angeles, SAT Test Prep in Boston, ISEE Test Prep in Houston, ACT Test Prep in Seattle, SSAT Test Prep in Chicago, ACT Test Prep in Atlanta, ACT Test Prep in San Diego, LSAT Test Prep in Denver, SAT Test Prep in San Diego, GMAT 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

ACT Math : ACT Math

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #1 : How To Solve For A Variable As Part Of A Fraction

Example Question #5 : How To Solve For A Variable As Part Of A Fraction

Example Question #6 : How To Solve For A Variable As Part Of A Fraction

Example Question #1 : How To Solve For A Variable As Part Of A Fraction

Example Question #61 : Algebraic Fractions

Example Question #11 : How To Solve For A Variable As Part Of A Fraction

Example Question #12 : How To Solve For A Variable As Part Of A Fraction

Example Question #13 : How To Solve For A Variable As Part Of A Fraction

Example Question #11 : How To Solve For A Variable As Part Of A Fraction

Example Question #14 : How To Solve For A Variable As Part Of A Fraction

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: