Call Now to Set Up Tutoring:

(888) 888-0446

SAT Math : How to use FOIL with Exponents

Study concepts, example questions & explanations for SAT Math

Create An Account

All SAT Math Resources

16 Diagnostic Tests 660 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Exponents And The Distributive Property

If (x-3)^2=25 , which of the following could be the value of ?

Possible Answers:

Correct answer:

Explanation:

(x-3)^2=25

Take the square root of both sides.

$x-3=\pm 5$

$x-3=5\ \text{or}\ x-3=-5$

Add 3 to both sides of each equation.

$x=5+3\ \text{or}\ x=-5+3$

$x=8\ \text{or}\ x=-2$

Report an Error

Example Question #1 : How To Use Foil With Exponents

Simplify:

$\left ( xyz \right )^{3}+x^{2}y+\left ( xy \right )^{0}+\left ( xy^{\frac{1}{2}} \right )^{2}$

Possible Answers:

$x^{3}y^{3}z^{3}+2x^{2}y$

$2x^{5}y^{3}z$

$x^{3}y^{3}z^{3}+2x^{2}y+1$

$x^{3}y^{3}z^{3}+x^{2}y$

$x^{3}y^{3}z^{3}+x^{2}y+1$

Correct answer:

$x^{3}y^{3}z^{3}+2x^{2}y+1$

Explanation:

$\left ( xyz \right )^{3}+x^{2}y+\left ( xy \right )^{0}+\left ( xy^{\frac{1}{2}} \right )^{2}$

= x³y³z³ + x²y + x⁰y⁰ + x²y

= x³y³z³ + x²y + 1 + x²y

= x³y³z³ + 2x²y + 1

Report an Error

Example Question #4 : Exponents And The Distributive Property

Use the FOIL method to simplify the following expression:

(x^3+2x^2)^2

Possible Answers:

x^6+2x^4

5x^6+4x^4

4x^5+4

x^6+4x^4

x^6+4x^5+4x^4

Correct answer:

x^6+4x^5+4x^4

Explanation:

Use the FOIL method to simplify the following expression:

(x^3+2x^2)^2

Step 1: Expand the expression.

(x^3+2x^2)(x^3+2x^2)

Step 2: FOIL

First: $x^3\cdot x^3 = x^6$

Outside: $x^3 \cdot 2x^2 =2x^5$

Inside: $2x^2 \cdot x^3 = 2x^5$

Last: $2x^2 \cdot 2x^2 = 4x^4$

Step 2: Sum the products.

x^6+2x^5+2x^5+4x^4

x^6+4x^5+4x^4

Report an Error

Example Question #1 : Exponents And The Distributive Property

Square the binomial.

$(x^{2}y^{4}+xy^{6})^{2}$

Possible Answers:

$2x^{8}y^{20}$

$x^8y^8+x^2y^{12}$

$x^4y^8+2x^3y^{10}+x^2y^{12}$

$x^4y^{16}+2x^2y^{24}+xy^{36}$

$x^{4}y^{8}+x^{2}y^{12}$

Correct answer:

$x^4y^8+2x^3y^{10}+x^2y^{12}$

Explanation:

$(x^{2}y^{4}+xy^{6})^{2}$

$(x^{2}y^{4}+xy^{6})(x^{2}y^{4}+xy^{6})$

We will need to FOIL.

First: x^2y^4*x^2y^4=x^4y^8

Inside: $xy^6*x^2y^4=x^3y^{10}$

Outside: $x^2y^4*xy^6=x^3y^{10}$

Last: $xy^6*xy^6=x^2y^{12}$

Sum all of the terms and simplify.

$x^4y^8+x^3y^{10}+x^3y^{10}+x^2y^{12}$

$x^4y^8+2x^3y^{10}+x^2y^{12}$

Report an Error

Example Question #2 : Exponents And The Distributive Property

Which of the following is equivalent to 4c(3d)³– 8c³d + 2(cd)⁴?

Possible Answers:

2(54d²– 4c²+ 2c³* d³)

cd(54c * d³– 4c³+ c²* d²)

None of the other answers

2cd(54d² – 4c²+ c³* d³)

Correct answer:

2cd(54d² – 4c²+ c³* d³)

Explanation:

First calculate each section to yield 4c(27d³) – 8c³d + 2c⁴d⁴= 108cd³– 8c³d + 2c⁴d⁴. Now let's factor out the greatest common factor of the three terms, 2cd, in order to get: 2cd(54d²– 4c²+ c³d³).

Report an Error

View SAT Mathematics Tutors

Cole
Certified Tutor

UW Madison, Bachelors, Industrial Engineering. UW Madison, Masters, Industrial Engineering.

View SAT Mathematics Tutors

Liban
Certified Tutor

Emory University, Bachelor of Science, Mathematics/Economics.

View SAT Mathematics Tutors

Thomas
Certified Tutor

Michigan State University, Bachelor in Arts, History. Central Michigan University, Doctor of Philosophy, History.

All SAT Math Resources

16 Diagnostic Tests 660 Practice Tests Question of the Day Flashcards Learn by Concept

SAT Math Tutors in Top Cities:

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

Popular Courses & Classes

Spanish Courses & Classes in Washington DC, GRE Courses & Classes in Philadelphia, MCAT Courses & Classes in Houston, SSAT Courses & Classes in Boston, ACT Courses & Classes in Atlanta, SSAT Courses & Classes in Chicago, SAT Courses & Classes in Denver, SSAT Courses & Classes in Denver, MCAT Courses & Classes in San Diego, ACT Courses & Classes in Dallas Fort Worth

Popular Test Prep

LSAT Test Prep in Denver, GMAT Test Prep in Miami, GMAT Test Prep in Philadelphia, MCAT Test Prep in San Diego, LSAT Test Prep in Atlanta, ACT Test Prep in Phoenix, ACT Test Prep in Seattle, SAT Test Prep in Philadelphia, GMAT Test Prep in Los Angeles, LSAT Test Prep in Phoenix

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 Math : How to use FOIL with Exponents

Study concepts, example questions & explanations for SAT Math

All SAT Math Resources

Example Questions

Example Question #1 : Exponents And The Distributive Property

Example Question #1 : How To Use Foil With Exponents

Example Question #4 : Exponents And The Distributive Property

Example Question #1 : Exponents And The Distributive Property

Example Question #2 : Exponents And The Distributive Property

All SAT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: