Call Now to Set Up Tutoring:

(888) 888-0446

Pre-Algebra : Pre-Algebra

Study concepts, example questions & explanations for Pre-Algebra

Create An Account

All Pre-Algebra Resources

11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #281 : Algebraic Equations

Solve:

$\frac{6}{7} +x = -\frac{8}{7}$

Possible Answers:

$-\frac{7}{2}$

$-\frac{2}{7}$

$\frac{2}{7}$

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Substract $\frac{6}{7}$ from both sides of the equation and solve for .

$\frac{6}{7} +x-\frac{6}{7} = -\frac{8}{7}-\frac{6}{7}$

Since both fractions have the same denominator we can simply subtract the numerators.

$x=-\frac{14}{7}=-\frac{2\cdot 7}{7}=-2$

The seven in the numerator and denominator cancel out to reduce the fraction to just negative two.

Report an Error

Example Question #33 : One Step Equations With Fractions

Solve:

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

Possible Answers:

$\frac{2}{9}$

$\frac{4}{9}$

$\frac{2}{3}$

$\frac{1}{4}$

Correct answer:

$\frac{4}{9}$

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To isolate the unknown variable, divide by three on both sides.

This is the same as multiplying one-third on both sides.

$3x \times \frac{1}{3}= \frac{4}{3}\times \frac{1}{3}$

When multiplying two fractions together, multiply their numerators and then multiply their denominators.

$x=\frac{4}{9}$

Report an Error

Example Question #841 : Pre Algebra

Solve: $\frac{x}{7}= 28$

Possible Answers:

$\frac{1}{4}$

196

Correct answer:

196

Explanation:

To isolate unknown variable, multiply seven on both sides.

$\frac{x}{7}\times 7= 28\times 7$

x=196

Report an Error

Example Question #92 : One Step Equations

Determine the unknown variable:

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

Possible Answers:

$-\frac{10}{9}$

$-\frac{7}{9}$

$-\frac{3}{5}$

$-\frac{19}{15}$

$-\frac{1}{2}$

Correct answer:

$-\frac{10}{9}$

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Multiply the reciprocal of $-\frac{3}{5}$ on both sides to isolate .

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

When multiplying fractions, multiply the numerators together and then multiply the denominators together.

$x= -\frac{10}{9}$

Report an Error

Example Question #32 : One Step Equations With Fractions

Solve: $3x = \frac{11}{4}$

Possible Answers:

$\frac{11}{12}$

$\frac{33}{4}$

$-\frac{1}{4}$

Correct answer:

$\frac{11}{12}$

Explanation:

Divide on both sides. This is also similar to multiplying both sides by $\frac{1}{3}$ .

$3x \times \frac{1}{3}= \frac{11}{4}\times \frac{1}{3}$

$x= \frac{11}{4}\times \frac{1}{3} = \frac{11}{12}$

Report an Error

Example Question #41 : One Step Equations With Fractions

Solve: $\frac{7}{9}x = 3$

Possible Answers:

$\frac{3}{7}$

$\frac{7}{3}$

$\frac{7}{27}$

$\frac{1}{21}$

$\frac{27}{7}$

Correct answer:

$\frac{27}{7}$

Explanation:

Multiply both sides by the reciprocal of the coefficient in front of to isolate the variable.

$\frac{7}{9}x \times \frac{9}{7}= 3\times \frac{9}{7}$

By multiplying the reciprocal of the coefficient in front of , we can see that that can be left as a single variable.

Multiply the whole number with the numerator.

$x= 3\times \frac{9}{7} = \frac{27}{7}$

The answer is: $\frac{27}{7}$

Report an Error

Example Question #41 : One Step Equations With Fractions

Solve for the unknown variable: $\frac{4x}{3} = 9$

Possible Answers:

$\frac{3}{2}$

$\frac{27}{4}$

$\frac{4}{3}$

$\frac{4}{27}$

$\frac{3}{4}$

Correct answer:

$\frac{27}{4}$

Explanation:

To isolate the unknown variable, multiply both sides by $\frac{3}{4}$ , which is the reciprocal of the coefficient in front of the variable.

$\frac{4x}{3} \times \frac{3}{4} = 9\times \frac{3}{4}$

The left side of the equation will become . On the right side of the equation, multiply the integer with the numerator of the fraction.

The answer is:

$x=\frac{27}{4}$

Report an Error

Example Question #101 : One Step Equations

Solve: $\frac{5}{8}x = \frac{7}{9}$

Possible Answers:

$\frac{45}{56}$

$\frac{56}{45}$

$\frac{1}{3}$

$\frac{72}{35}$

$\frac{35}{72}$

Correct answer:

$\frac{56}{45}$

Explanation:

In order to isolate the variable, first multiply both sides by the reciprocal of $\frac{5}{8}$ .

$\frac{5}{8}x \times \frac{8}{5}= \frac{7}{9}\times \frac{8}{5}$

Cancel out the fractions on the left side of the equation.

$x= \frac{7}{9}\times \frac{8}{5}$

For these two fractions, multiply the numerator with the numerator, and the denominator with the denominator.

$x= \frac{7}{9}\times \frac{8}{5}=\frac{56}{45}$

Report an Error

Example Question #42 : One Step Equations With Fractions

Solve: $\frac{3}{8}x = \frac{7}{6}$

Possible Answers:

$\frac{28}{9}$

$\frac{28}{3}$

$\frac{3}{28}$

$\frac{19}{24}$

$\frac{24}{19}$

Correct answer:

$\frac{28}{9}$

Explanation:

In order to isolate the variable, multiply both sides by the reciprocal of the coefficient in front of the .

$\frac{3}{8}x \times \frac{8}{3}= \frac{7}{6}\times \frac{8}{3}$

Simplify the fractions on the left side.

$x= \frac{7}{6}\times \frac{8}{3}$

Reduce the on the denominator with the in the numerator.

$x= \frac{7}{2 \times 3}\times \frac{2\times 4}{3} = \frac{7\times 4}{3 \times 3} = \frac{28}{9}$

Report an Error

Example Question #44 : One Step Equations With Fractions

Solve: $\frac{2}{7}x = 3$

Possible Answers:

$\frac{21}{2}$

$\frac{7}{6}$

$\frac{2}{21}$

$\frac{6}{7}$

$\frac{23}{7}$

Correct answer:

$\frac{21}{2}$

Explanation:

In order to isolate the variable, multiply the reciprocal of $\frac{2}{7}$ on both sides of the equation.

$\frac{2}{7}x \times \frac{7}{2}= 3\times \frac{7}{2}$

Simplify the fractions on the left side of the equation.

$x= 3\times \frac{7}{2}$

Multiply the three with the seven on the right side of the equation.

$x= 3\times \frac{7}{2} = \frac{21}{2}$

Report an Error

View Pre-Algebra Tutors

Christie
Certified Tutor

University of West Georgia, Bachelor of Science, Mathematics. Western Governors University, Master of Arts, Mathematics.

View Pre-Algebra Tutors

Chukwunonso
Certified Tutor

University of Waterloo, Bachelor of Science, Chemical Engineering.

View Pre-Algebra Tutors

Chukwudi
Certified Tutor

University of Nigeria, Nsukka., Bachelor of Science, Biochemistry. African University of Science and Technology., Master of S...

All Pre-Algebra Resources

11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

English Tutors in Houston, Algebra Tutors in Washington DC, SAT Tutors in Houston, Computer Science Tutors in Dallas Fort Worth, Biology Tutors in San Francisco-Bay Area, SSAT Tutors in San Francisco-Bay Area, Physics Tutors in New York City, Spanish Tutors in Los Angeles, GRE Tutors in New York City, MCAT Tutors in San Francisco-Bay Area

Popular Courses & Classes

GMAT Courses & Classes in San Diego, ISEE Courses & Classes in San Diego, SSAT Courses & Classes in Chicago, GMAT Courses & Classes in Phoenix, GRE Courses & Classes in Denver, SSAT Courses & Classes in Houston, MCAT Courses & Classes in Washington DC, SAT Courses & Classes in Miami, LSAT Courses & Classes in New York City, Spanish Courses & Classes in Dallas Fort Worth

Popular Test Prep

GMAT Test Prep in San Francisco-Bay Area, SAT Test Prep in Houston, ISEE Test Prep in Boston, GRE Test Prep in Miami, LSAT Test Prep in Philadelphia, LSAT Test Prep in Los Angeles, GRE Test Prep in San Francisco-Bay Area, ACT Test Prep in San Francisco-Bay Area, LSAT Test Prep in Seattle, ISEE 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

Pre-Algebra : Pre-Algebra

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #281 : Algebraic Equations

Example Question #33 : One Step Equations With Fractions

Example Question #841 : Pre Algebra

Example Question #92 : One Step Equations

Example Question #32 : One Step Equations With Fractions

Example Question #41 : One Step Equations With Fractions

Example Question #41 : One Step Equations With Fractions

Example Question #101 : One Step Equations

Example Question #42 : One Step Equations With Fractions

Example Question #44 : One Step Equations With Fractions

All Pre-Algebra Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: