Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Algebra II

Study concepts, example questions & explanations for Algebra II

Create An Account

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #494 : Exponents

Simplify $\frac{x^{-15}}{x^{-22}}$

Possible Answers:

$x^{-7}$

x^2

x^7

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

Correct answer:

x^7

Explanation:

First combine like variables. There is only one variable in this equation, so you can skip that step. Next, move negative exponents to the other side of the fraction to get $\frac{x^{22}}{x^{15}}$ . Finally simplifying gives x^7

Report an Error

Example Question #495 : Exponents

Simplify $x^{-16}x^4x^{12}$

Possible Answers:

x^2

1/x

Correct answer:

Explanation:

First combine like variables. There is only one variable in this equation, so you can skip that step. Next, you add the exponents because we are multiplying. -16+4+12=0. x^0=1

Report an Error

Example Question #163 : Multiplying And Dividing Exponents

Simplify $\frac{x^{-3}x^{4}x^{-5}}{x^{-5}}$

Possible Answers:

$x^{-16}$

$x^{-1}$

$x^{16}$

Correct answer:

Explanation:

First combine like variables. There is only one variable in this equation, so you can skip that step. Next, you move negative exponents to the opposite side of the fraction and then add the exponents because we are multiplying. 4+5=9 and 3+5=8 giving us $\frac{x^9}{x^8}$ which simplifies to .

Report an Error

Example Question #971 : Mathematical Relationships And Basic Graphs

Simplify $x^2y^3x^{-3}y^7$

Possible Answers:

Not possible.

$x^7y^{2}$

$\frac{x^2y^{10}}{x^3}$

x^2y^7

$\frac{y^{10}}{x}$

Correct answer:

$\frac{y^{10}}{x}$

Explanation:

First combine like variables. This leaves us with $x^{-1}y^{10}$ which is equal to $\frac{y^{10}}{x}$

Report an Error

Example Question #972 : Mathematical Relationships And Basic Graphs

Simplify x^2y^4z^5x^5z^7y^8

Possible Answers:

$1/x^7y^{12}z^{12}$

Not possible.

$(xyz)^{31}$

$x^7y^{12}z^{12}$

Correct answer:

$x^7y^{12}z^{12}$

Explanation:

First combine like variables by adding exponents. This leaves us with $x^7y^{12}z^{12}$

Report an Error

Example Question #973 : Mathematical Relationships And Basic Graphs

Simplify $\frac{x^7y^2z^8x^2y^{16}}{x^9y^{18}}$

Possible Answers:

z^8

$x^{18}y^{36}z^8$

Not possible

xyz^8

Correct answer:

z^8

Explanation:

First, combine exponents of like variables. This gives us $\frac{x^9y^{18}z^8}{x^9y^{18}}$ which simplifies to z^8

Report an Error

Example Question #974 : Mathematical Relationships And Basic Graphs

Simplify $x^5y^2x^{-4}$

Possible Answers:

xy^2

x^2y

(xy)^2

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

Correct answer:

xy^2

Explanation:

First, combine exponents of like variables. This gives us xy^2

Report an Error

Example Question #975 : Mathematical Relationships And Basic Graphs

Simplify $z^3y^2x^6y^{-3}$

Possible Answers:

z^3y^2x^6

$\frac{z^3x^6}{y}$

$\frac{z^3x^6}{y^3}$

(xyz)^8

Correct answer:

$\frac{z^3x^6}{y}$

Explanation:

First, combine exponents of like variables. This gives us $z^3y^{-1}x^6$ which simplifies to $\frac{z^3x^6}{y}$

Report an Error

Example Question #976 : Mathematical Relationships And Basic Graphs

Simplify $x^8z^2y^3x^4y^{18}z^2z^{-14}y^{-23}y^{12}x^{-3}z^{22}x^{-9}$

Possible Answers:

y^3

$x^{24}y^{45}z^{25}$

x^2

$y^{10}z^{12}$

Correct answer:

$y^{10}z^{12}$

Explanation:

First, combine exponents of like variables and add them together. This gives us $x^0y^{10}z^{12}$ which simplifies to $y^{10}z^{12}$

Report an Error

Example Question #3639 : Algebra Ii

The expression $\frac{a^{3}b^{-2}}{a^{-4}b^{2}}$ is equivalent to?

Possible Answers:

$\frac{a^{7}}{b^{4}}$

$\frac{b^{5}}{a^{7}}$

$\frac{a^{3}}{b^{2}}$

$a^{-2}b^{-2}$

Correct answer:

$\frac{a^{7}}{b^{4}}$

Explanation:

By simplifying the exponents: bringing the $a^{-4}$ to the numerator and adding the two a's together, getting $a^{7}$ in the numerator, and bringing the $b^{-2}$ to the denominator and adding the two b's together, getting $b^{4}$ in the denominator.

Report an Error

View Algebra 2 Tutors

Shallu
Certified Tutor

Hans Raj Mahila Maha Vidyalaya, Bachelor of Science, Computer Science. Jiwaji University, Master of Science, Computer Science.

View Algebra 2 Tutors

Anjali
Certified Tutor

Delhi University, Bachelor of Science, Physics. Kumuan University, Master of Science, Physics.

View Algebra 2 Tutors

Mariam
Certified Tutor

Yarmouk University, Bachelor of Science, Mathematics. Touro College, Master of Science, Teacher Education, Multiple Levels.

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Biology Tutors in Boston, Physics Tutors in Los Angeles, Computer Science Tutors in Philadelphia, GRE Tutors in Seattle, English Tutors in Chicago, Chemistry Tutors in Atlanta, Reading Tutors in Denver, Physics Tutors in Boston, Reading Tutors in Miami, ACT Tutors in San Diego

Popular Courses & Classes

SAT Courses & Classes in San Diego, GMAT Courses & Classes in Chicago, GMAT Courses & Classes in Phoenix, ACT Courses & Classes in Boston, LSAT Courses & Classes in Dallas Fort Worth, GMAT Courses & Classes in Miami, GMAT Courses & Classes in Dallas Fort Worth, Spanish Courses & Classes in New York City, GMAT Courses & Classes in Denver, GRE Courses & Classes in Dallas Fort Worth

Popular Test Prep

GMAT Test Prep in Washington DC, GMAT Test Prep in New York City, SAT Test Prep in Chicago, LSAT Test Prep in Phoenix, GMAT Test Prep in Chicago, MCAT Test Prep in Denver, GMAT Test Prep in Dallas Fort Worth, MCAT Test Prep in Houston, ACT Test Prep in Atlanta, ACT Test Prep in Miami

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 II : Algebra II

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #494 : Exponents

Example Question #495 : Exponents

Example Question #163 : Multiplying And Dividing Exponents

Example Question #971 : Mathematical Relationships And Basic Graphs

Example Question #972 : Mathematical Relationships And Basic Graphs

Example Question #973 : Mathematical Relationships And Basic Graphs

Example Question #974 : Mathematical Relationships And Basic Graphs

Example Question #975 : Mathematical Relationships And Basic Graphs

Example Question #976 : Mathematical Relationships And Basic Graphs

Example Question #3639 : Algebra Ii

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: