Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : Variables

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 #501 : Variables

Divide the following monomial quotients:

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

Possible Answers:

$x^{3}$

$x^{2}$

$x^{8}$

Correct answer:

$x^{2}$

Explanation:

To solve this problem, divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

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

Combine these to get the final answer:

$x^{3}$

Report an Error

Example Question #31 : How To Divide Monomial Quotients

Divide the following monomial quotients:

$\frac{20x^{3}}{4x}$

Possible Answers:

$4x^{2}$

10x

$5x^{2}$

Correct answer:

$5x^{2}$

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

$\frac{20}{4}=5$

2. Divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

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

Combine these to get the final answer:

$5x^{2}$

Report an Error

Example Question #34 : How To Divide Monomial Quotients

Divide the following monomial quotients:

$\frac{21x^{5}}{3x^{2}}$

Possible Answers:

$7x^{3}$

$3x^{2}$

Correct answer:

$7x^{3}$

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

$\frac{21}{3}=7$

2. Divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

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

Combine these to get the final answer:

$7x^{3}$

Report an Error

Example Question #4733 : Algebra 1

Divide the following monomial quotients:

$\frac{32y^{3}}{4x}$

Possible Answers:

$\frac{8y^{3}}{x}$

12xy

$\frac{4y}{x^{2}}$

$\frac{8y}{x}$

Correct answer:

$\frac{8y^{3}}{x}$

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

$\frac{32}{4}=8$

2. Divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

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

$\frac{y^{3}}{1}=y^{3}$

Combine these to get the final answer:

$\frac{8y^{3}}{x}$

Report an Error

Example Question #502 : Variables

Divide the following monomial quotients:

$\frac{28y^{2}}{7y}$

Possible Answers:

$\frac{4}{y}$

$3y^{2}$

Correct answer:

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

$\frac{28}{7}=4$

2. Divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

$\frac{y^{2}}{y}=y$

Combine these to get the final answer:

Report an Error

Example Question #506 : Variables

Divide the following monomial quotients:

$\frac{16xy^{2}}{2xy}$

Possible Answers:

$\frac{y}{4}$

$\frac{y}{x}$

$8y^{2}$

Correct answer:

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

$\frac{16}{2}=8$

2. Divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

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

$\frac{y^{2}}{y}=y^{2-1}=y$

Combine these to get the final answer:

Report an Error

Example Question #4733 : Algebra 1

Divide the following monomial quotients:

$\frac{x^{15}y}{x^{3}y^{2}}$

Possible Answers:

$\frac{x^{5}}{y^{2}}$

$\frac{x^{12}}{y}$

$\frac{x^{18}}{y}$

$\frac{x^{3}}{y}$

Correct answer:

$\frac{x^{12}}{y}$

Explanation:

To solve this problem, divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

$\frac{x^{15}}{x^{3}} =x^{15-3}=x^{12}$

$\frac{y}{y^{2}}=y^{1-2}=\frac{1}{y}$

Combine these to get the final answer:

$\frac{x^{12}}{y}$

Report an Error

Example Question #4734 : Algebra 1

Divide the following monomial quotients:

$\frac{15xy}{3x^{2}}$

Possible Answers:

5xy

$\frac{5x}{y}$

$\frac{5y}{x}$

Correct answer:

$\frac{5y}{x}$

Explanation:

To solve this problem, split it into two steps:

1. Divide the coefficients

$\frac{15}{3}=5$

2. Divide the variables. We also need to remember the following laws of exponents rule: When dividing variables, subtract the exponents.

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

$\frac{y}{1}=y$

Combine these to get the final answer:

$\frac{5y}{x}$

Report an Error

Example Question #41 : How To Divide Monomial Quotients

Divide: $\frac{9x}{33x^2}$

Possible Answers:

$-\frac{1}{24x}$

$\frac{3x}{11}$

24x

$\frac{3}{11x}$

$\frac{1}{24x}$

Correct answer:

$\frac{3}{11x}$

Explanation:

In order to simplify this fraction, write the factors out for the numerator and denominator.

$\frac{9x}{33x^2} = \frac{3\cdot 3\cdot x}{3\cdot 11 \cdot x \cdot x}$

Cancel out the common terms in the numerator and denominator.

$\frac{3\cdot 3\cdot x}{3\cdot 11 \cdot x \cdot x} = \frac{3}{11x}$

The answer is: $\frac{3}{11x}$

Report an Error

Example Question #503 : Variables

Evaluate:

$\frac{21x+14x^2+28x^3}{7x}$

Possible Answers:

4x^2+2x+3

x^2+2x+7

21x^2+7x+14

$\frac{4x^2}{2x+3}$

$\frac{4x+2}{7x}$

Correct answer:

4x^2+2x+3

Explanation:

We can simplify this monomial by cancelling out like terms in the numerator and denominator:

$\frac{21x+14x^2+28x^3}{7x}=\frac{7x(3+2x+4x^2)}{7x}=4x^2+2x+3$

Report an Error

View Algebra Tutors

Sara
Certified Tutor

University of Houston, Bachelor of Science, Psychology.

View Algebra Tutors

Jean Bosco
Certified Tutor

Carnegie Mellon University, Master of Electrical Engineering, Electrical Engineering Technology. University of Massachusetts ...

View Algebra Tutors

Muddasir
Certified Tutor

National University of Science and Technology (NUST), Bachelor, Electrical Engineering.

All Algebra 1 Resources

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

Popular Subjects

Chemistry Tutors in Washington DC, GRE Tutors in Philadelphia, French Tutors in Houston, English Tutors in Seattle, Biology Tutors in Philadelphia, GMAT Tutors in Denver, GMAT Tutors in Chicago, Reading Tutors in Denver, Chemistry Tutors in Seattle, Algebra Tutors in Miami

Popular Courses & Classes

GRE Courses & Classes in Los Angeles, MCAT Courses & Classes in Houston, ISEE Courses & Classes in Boston, GMAT Courses & Classes in Chicago, GRE Courses & Classes in Chicago, LSAT Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in San Diego, MCAT Courses & Classes in Chicago, LSAT Courses & Classes in Atlanta, LSAT Courses & Classes in Seattle

Popular Test Prep

ISEE Test Prep in Boston, GRE Test Prep in Seattle, MCAT Test Prep in Atlanta, MCAT Test Prep in Chicago, SSAT Test Prep in Seattle, SAT Test Prep in Atlanta, MCAT Test Prep in Los Angeles, ISEE Test Prep in San Diego, SSAT Test Prep in Houston, ISEE Test Prep in New York City

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 : Variables

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #501 : Variables

Example Question #31 : How To Divide Monomial Quotients

Example Question #34 : How To Divide Monomial Quotients

Example Question #4733 : Algebra 1

Example Question #502 : Variables

Example Question #506 : Variables

Example Question #4733 : Algebra 1

Example Question #4734 : Algebra 1

Example Question #41 : How To Divide Monomial Quotients

Example Question #503 : Variables

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: