Call Now to Set Up Tutoring:

(888) 888-0446

SAT II Math I : Simplifying Expressions

Study concepts, example questions & explanations for SAT II Math I

Create An Account

All SAT II Math I Resources

6 Diagnostic Tests 113 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #21 : Simplifying Expressions

Simplify the expression $\frac{x^5(3x^2y^3)}{x^4y^2z}$

Possible Answers:

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

3x^3y

Already in simplest form

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

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

Correct answer:

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

Explanation:

$\frac{x^5(3x^2y^3)}{x^4y^2z}$

Simplify the numerator by multiplying in the $\tiny x^5$ term

$\frac{3x^7y^3}{x^4y^2z}$

Cancel out like terms in the numerator and denominator.

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

Report an Error

Example Question #21 : Simplifying Expressions

Simplify: $(x^2)\cdot (\frac{x^{-1}}{x})$

Possible Answers:

x^3

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

$\frac{1}{x^3}$

$\frac{1}{x}$

Correct answer:

Explanation:

Rewrite the denominator of the second fraction using a power.

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

Using the subtraction rule of exponents, we can simplify this as one term.

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

The expression becomes:

$(x^2)\cdot (x^{-2})$

Apply the addition rule of exponents.

$x^{2+(-2)} = x^0 =1$

The answer is:

Report an Error

Example Question #122 : Single Variable Algebra

$\frac{(x^7 - x^6)}{ (x - 1)} =$

Possible Answers:

x^5

x^6

$\frac{x}{(x-1)}$

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

x^6 - x^5

Correct answer:

x^6

Explanation:

Factor an x^6 in the numerator to get:

$\frac{(x^7 - x^6)}{ (x - 1)} =\frac{x^6(x-1)}{(x-1)}$

We can now cancel out (x-1) from the numerator and denominator leaving the answer.

x^6

Report an Error

View SAT Subject Test in Mathematics Level 1 Tutors

Rodolfo
Certified Tutor

The University of Texas at San Antonio, Bachelor of Science, Mathematics.

View SAT Subject Test in Mathematics Level 1 Tutors

Chisom
Certified Tutor

Georgia Southern University, Bachelor of Science, Biochemistry. University of Georgia, Current Grad Student, Pharmacy.

View SAT Subject Test in Mathematics Level 1 Tutors

Blake
Certified Tutor

Vanderbilt University, Bachelors, Neuroscience.

All SAT II Math I Resources

6 Diagnostic Tests 113 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Computer Science Tutors in Atlanta, Physics Tutors in New York City, Biology Tutors in Atlanta, French Tutors in Phoenix, ISEE Tutors in Miami, Spanish Tutors in Philadelphia, Chemistry Tutors in Washington DC, Spanish Tutors in San Francisco-Bay Area, ISEE Tutors in Chicago, MCAT Tutors in Boston

Popular Courses & Classes

GMAT Courses & Classes in Chicago, MCAT Courses & Classes in Boston, GRE Courses & Classes in Los Angeles, MCAT Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Philadelphia, SAT Courses & Classes in New York City, Spanish Courses & Classes in Washington DC, GRE Courses & Classes in Washington DC, GRE Courses & Classes in Atlanta, SAT Courses & Classes in Boston

Popular Test Prep

LSAT Test Prep in San Diego, SAT Test Prep in Atlanta, SAT Test Prep in Washington DC, GMAT Test Prep in Seattle, GRE Test Prep in Los Angeles, GRE Test Prep in Philadelphia, LSAT Test Prep in Boston, SAT Test Prep in Boston, MCAT Test Prep in Boston, SAT 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

SAT II Math I : Simplifying Expressions

Study concepts, example questions & explanations for SAT II Math I

All SAT II Math I Resources

Example Questions

Example Question #21 : Simplifying Expressions

Example Question #21 : Simplifying Expressions

Example Question #122 : Single Variable Algebra

All SAT II Math I Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: