Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : Algebra 1

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 #76 : How To Use Foil In The Distributive Property

Simplify the following expression: $(x^{2}-5x)(x^{2}+2)$ .

Possible Answers:

$x^{4}-5x^{3}+2x^{2}-10x$

$x^{4}+5x^{3}+2x^{2}+10x$

$x^{4}-5x^{3}+2x^{2}+10x$

$x^{4}+5x^{3}+2x^{2}-10x$

$x^{4}-5x^{3}-2x^{2}-10x$

Correct answer:

$x^{4}-5x^{3}+2x^{2}-10x$

Explanation:

In order to simplify the above expression, we can use the FOIL Method (First, Outer, Inner, Last) to multiply the elements of the expression and add the results. Given $(x^{2}-5x)(x^{2}+2)$ , then:

First: $x^{2}\times x^{2}=x^{4}$

Outer: $x^{2}\times2=2x^{2}$

Inner: $-5x\times x^{2}=-5x^{3}$

Last: $-5x\times2=-10x$

Thus, by FOIL:

$x^{4}+2x^{2}+(-5x^{3})+(-10x)$

$=x^{4}+2x^{2}-5x^{3}-10x$

$=x^{4}-5x^{3}+2x^{2}-10x$

Report an Error

Example Question #77 : How To Use Foil In The Distributive Property

Simplify the following expression: (2x+7)(7x+2) .

Possible Answers:

None of the above

$14x^{2}+53x-14$

$14x^{2}+53x+14$

$14x^{2}-53x+14$

$14x^{2}-53x-14$

Correct answer:

$14x^{2}+53x+14$

Explanation:

In order to simplify the above expression, we can use the FOIL Method (First, Outer, Inner, Last) to multiply the elements of the expression and add the results. Given (2x+7)(7x+2) , then:

First: $2x\times7x=14x^{2}$

Outer: $2x\times2=4x$

Inner: $7\times7x=49x$

Last: $7\times2=14$

Thus, by FOIL:

$14x^{2}+4x+49x+14$

$=14x^{2}+53x+14$

Report an Error

Example Question #78 : How To Use Foil In The Distributive Property

Simplify the following expression: (9-5x)(x+6) .

Possible Answers:

$-5x^{2}-21x-54$

$-5x^{2}-21x+54$

$-5x^{2}+21x+54$

$-5x^{2}+21x-54$

$5x^{2}-21x+54$

Correct answer:

$-5x^{2}-21x+54$

Explanation:

In order to simplify the above expression, we can use the FOIL Method (First, Outer, Inner, Last) to multiply the elements of the expression and add the results. Given (9-5x)(x+6) , then:

First: $9\times x=9x$

Outer: $9\times6=54$

Inner: $-5x\times x=-5x^{2}$

Last: $-5x\times6=-30x$

Thus, by FOIL:

$9x+54+(-5x^{2})+(-30x)$

$=54-5x^{2}-21x$

$=-5x^{2}-21x+54$

Report an Error

Example Question #79 : How To Use Foil In The Distributive Property

Simplify the following expression: (1-x)(5+10x) .

Possible Answers:

$-10x^{2}+5x-5$

$10x^{2}+5x+5$

$-10x^{2}-5x+5$

$-10x^{2}-5x-5$

$-10x^{2}+5x+5$

Correct answer:

$-10x^{2}+5x+5$

Explanation:

In order to simplify the above expression, we can use the FOIL Method (First, Outer, Inner, Last) to multiply the elements of the expression and add the results. Given (1-x)(5+10x) , then:

First: $1\times5=5$

Outer: $1\times10x=10x$

Inner: $-x\times5=-5x$

Last: $-x\times10x=-10x^{2}$

Thus, by FOIL:

$5+10x+(-5x)+(-10x^{2})$

$=5+5x-10x^{2}$

$=-10x^{2}+5x+5$

Report an Error

Example Question #81 : Distributive Property

Simplify the following expression: (5x-4)(4x-5) .

Possible Answers:

$-20x^{2}-41x+20$

$20x^{2}+41x-20$

$20x^{2}-41x-20$

$20x^{2}-41x+20$

$20x^{2}+41x+20$

Correct answer:

$20x^{2}-41x+20$

Explanation:

In order to simplify the above expression, we can use the FOIL Method (First, Outer, Inner, Last) to multiply the elements of the expression and add the results. Given (5x-4)(4x-5) , then:

First: $5x\times4x=20x^{2}$

Outer: $5x\times-5=-25x$

Inner: $-4\times4x=-16x$

Last: $-4\times-5=20$

Thus, by FOIL:

$20x^{2}+(-25x)+(-16x)+20$

$=20x^{2}-41x+20$

Report an Error

Example Question #82 : Distributive Property

Simplify the following expression: $(x^{2}+x)(7+x)$ .

Possible Answers:

$x^{3}-8x^{2}+7x$

$x^{3}+8x^{2}+7x$

$x^{3}-8x^{2}-7x$

$-x^{3}+8x^{2}+7x$

$x^{3}+8x^{2}-7x$

Correct answer:

$x^{3}+8x^{2}+7x$

Explanation:

In order to simplify the above expression, we can use the FOIL Method (First, Outer, Inner, Last) to multiply the elements of the expression and add the results. Given $(x^{2}+x)(7+x)$ , then:

First: $x^{2}\times7=7x^{2}$

Outer: $x^{2}\times x=x^{3}$

Inner: $x\times7=7x$

Last: $x\times x=x^{2}$

Thus, by FOIL:

$7x^{2}+x^{3}+7x+x^{2}$

$=x^{3}+8x^{2}+7x$

Report an Error

Example Question #83 : Distributive Property

Simplify the following expression: (1-3x)(4x+x) .

Possible Answers:

None of the above

5x(1-3x)

5x(1+3x)

-5x(1+3x)

-5x(1-3x)

Correct answer:

5x(1-3x)

Explanation:

In order to simplify the above expression, we can use the FOIL Method (First, Outer, Inner, Last) to multiply the elements of the expression and add the results. Given (1-3x)(4x+x) , then:

First: $1\times4x=4x$

Outer: $1\times x=x$

Inner: $-3x\times4x=-12x^{2}$

Last: $-3x\times x=-3x^{2}$

Thus, by FOIL:

$4x+x+(-12x^{2})+(-3x^{2})$

$=-15x^{2}+5x$

=5x(1-3x)

Report an Error

Example Question #4895 : Algebra 1

Expand

(3x-7y)(-4x+2y)

Possible Answers:

-12x^2-22xy-14y^2

-12x^2+34xy-14y^2

-12x^2+22xy-14y^2 2

-12x^2-34xy-14y^2

-12x^2-14y^2

Correct answer:

-12x^2+34xy-14y^2

Explanation:

To expand this set of binomials we need to FOIL the terms. FOIL is the multiplication steps that need to be applied to a set of binomials.

(3x-7y)(-4x+2y)

First: $3x\cdot-4x=-12x^2$

Outer: $3x\cdot2y=6xy$

Inner: $-7y\cdot-4x=28xy$

Last: $-7y\cdot2y=-14y^2$

$Sum $=-12x^2+6xy+28xy-14y^2

Solution:

-12x^2+34xy-14y^2

Report an Error

Example Question #4896 : Algebra 1

Simplify: (2-3x)(2x+2)

Possible Answers:

-6x^2-4

-3x+4

-6x^2+2x+4

-6x^2+4

-6x^2-2x+4

Correct answer:

-6x^2-2x+4

Explanation:

Use the FOIL method to simplify this expression.

(2-3x)(2x+2)= (2)(2x)+ (2)(2) + (-3x)(2x)+(-3x)(2)

=4x+4-6x^2-6x = -6x^2-2x+4

The answer is: -6x^2-2x+4

Report an Error

Example Question #82 : Distributive Property

Simplify the following expression: (2x-5)(5x+2) .

Possible Answers:

$10x^{2}-21x+10$

$10x^{2}+21x-10$

$-10x^{2}+21x+10$

$10x^{2}-21x-10$

$-10x^{2}-21x-10$

Correct answer:

$10x^{2}-21x-10$

Explanation:

In order to simplify the above expression, we can use the FOIL Method (First, Outer, Inner, Last) to multiply the elements of the expression and add the results. Given (2x-5)(5x+2) , then:

First: $2x\times\5x=10x^{2}$

Outer: $2x\times2=4x$

Inner: $-5\times5x=-25x$

Last: $-5\times2=-10$

Thus, by FOIL:

(2x-5)(5x+2)

$=10x^{2}+4x-25x-10$

$=10x^{2}-21x-10$

Report an Error

View Algebra Tutors

Jeffrey
Certified Tutor

Pennsylvania State University-Main Campus, Bachelor of Science, Chemistry. Virginia Polytechnic Institute and State Universit...

View Algebra Tutors

Raha
Certified Tutor

Amirkabir University of Technology, Bachelor of Science, Chemical Engineering. Wayne State University, Master of Science, Che...

View Algebra Tutors

Karin
Certified Tutor

SUNY College at Cortland, Bachelor of Science, Mathematics Teacher Education. New York University, Master of Arts, Educationa...

All Algebra 1 Resources

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

Popular Subjects

SSAT Tutors in Atlanta, Biology Tutors in San Diego, ACT Tutors in Houston, English Tutors in Chicago, Chemistry Tutors in New York City, Biology Tutors in Atlanta, Math Tutors in Los Angeles, French Tutors in Denver, GMAT Tutors in Miami, Physics Tutors in Atlanta

Popular Courses & Classes

MCAT Courses & Classes in Phoenix, LSAT Courses & Classes in Los Angeles, MCAT Courses & Classes in Houston, Spanish Courses & Classes in Denver, MCAT Courses & Classes in San Diego, SSAT Courses & Classes in Miami, SSAT Courses & Classes in Los Angeles, GMAT Courses & Classes in Chicago, ACT Courses & Classes in Chicago, SSAT Courses & Classes in Phoenix

Popular Test Prep

GRE Test Prep in Dallas Fort Worth, MCAT Test Prep in Houston, GMAT Test Prep in Washington DC, SSAT Test Prep in Miami, LSAT Test Prep in Los Angeles, SAT Test Prep in Atlanta, MCAT Test Prep in Chicago, SSAT Test Prep in Dallas Fort Worth, ISEE Test Prep in Philadelphia, 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 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #76 : How To Use Foil In The Distributive Property

Example Question #77 : How To Use Foil In The Distributive Property

Example Question #78 : How To Use Foil In The Distributive Property

Example Question #79 : How To Use Foil In The Distributive Property

Example Question #81 : Distributive Property

Example Question #82 : Distributive Property

Example Question #83 : Distributive Property

Example Question #4895 : Algebra 1

Example Question #4896 : Algebra 1

Example Question #82 : Distributive Property

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: