Call Now to Set Up Tutoring:

(888) 888-0446

ACT Math : How to use FOIL with the distributive property

Study concepts, example questions & explanations for ACT Math

Create An Account

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #21 : How To Use Foil With The Distributive Property

Find the product of the two binomials:
(2x-4)(x+8)

Possible Answers:

14x-32

2x^2 + 12x +4

2x^2+12x-32

-2x^2 + 4x +12

x^2+14x-32

Correct answer:

2x^2+12x-32

Explanation:

Use FOIL (First Outside Inside Last) to multiply the binomials:

2x*x = 2x^2

2x*8 = 16x

-4*x = -4x

-4*8 = -32

now combine like terms and you get the result: 2x^2+12x-32

Report an Error

Example Question #22 : How To Use Foil With The Distributive Property

Expand the following: $\textup{(x+5)(x+3)}$

Possible Answers:

$\textup{8x}$

$\textup{2x}+8$

$\textup{2x}^{2}+15$

$\textup{x}^{2}+\textup{8x}+15$

$\textup{x}^{2}+15$

Correct answer:

$\textup{x}^{2}+\textup{8x}+15$

Explanation:

To reach the solution, use the FOIL method of the distributive property. This stands for First, Outer, Inner, Last. In this particular problem, we begin by multiplying the first two $\textup{x's}$ together, yielding ${\textup{x}}^{2}$ . Then, we multiply $\textup{x}$ by the outer number, which is , yielding $\textup{3x}$ . Next, we multiply the two inner numbers, and $\textup{x}$ , yielding $\textup{5x}$ . Finally, we multiply the last two numbers, and , yielding . Thus, when we add all those together, the answer is $\textup{x}^{2}+\textup{8x}+15$ .

Report an Error

Example Question #21 : How To Use Foil With The Distributive Property

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

Possible Answers:

$x^{2}-x-6$

x^2-6

2x-6

x-6

Correct answer:

$x^{2}-x-6$

Explanation:

To FOIL using the distributive property, multiply the first terms together, then the outer terms, then the inner terms, and finally, the last terms.

(x+2)(x-3)=x^2-3x+2x-6=x^2-x-6

Report an Error

Example Question #22 : How To Use Foil With The Distributive Property

Distribute: $(6x-2)^{2}$

Possible Answers:

36x^2+24x+4

12x^2-24x+4

36x^2-24x+4

36x^2+4

Correct answer:

36x^2-24x+4

Explanation:

To FOIL using the distributive property, multiply the first terms together, then the outer terms, then the inner terms, and finally, the last terms.

(6x-2)^2=36x^2-12x-12x+4=36x^2-24x+4

Report an Error

Example Question #23 : How To Use Foil With The Distributive Property

Distribute:

(3x+4)^2

Possible Answers:

9x^2+16

9x^2+24x+16

9x^2-24x+16

6x+8

Correct answer:

9x^2+24x+16

Explanation:

FOIL using the distributive property:

(3x+4)(3x+4)=9x^2+12x+12x+16=9x^2+24x+16

Report an Error

Example Question #24 : How To Use Foil With The Distributive Property

Distribute:

(3x+5)(x+2)

Possible Answers:

3x^2+11x+10

3x+10

3x^2+10

3x^2+11x-10

Correct answer:

3x^2+11x+10

Explanation:

FOIL using the distributive property:

(3x+5)(x+2)=3x^2+6x+5x+10=3x^2+11x+10

Report an Error

Example Question #25 : How To Use Foil With The Distributive Property

Distribute:

$(2x+4)^{2}$

Possible Answers:

4x^2+16x+16

4x^2+8

$4x^{2}+8x+16$

4x^2+16

Correct answer:

4x^2+16x+16

Explanation:

FOIL using the distributive property.

(2x+4)^2=4x^2+8x+8x+16=4x^2+16x+16

Report an Error

Example Question #26 : How To Use Foil With The Distributive Property

Distribute:

$(x^{2}-3)^{2}$

Possible Answers:

x^4-6x^2+9

x^4+6x^2-9

x^4+6x^2+9

x^4+9

Correct answer:

x^4-6x^2+9

Explanation:

FOIL using the distributive property.

x^4-3x^2-3x^2+9=x^4-6x^2+9

Report an Error

Example Question #27 : How To Use Foil With The Distributive Property

Distribute:

(2x+3)(x^2-4)

Possible Answers:

2x^3+3x^2-8x+12

2x^3+3x^2-8x-12

2x^3+3x^2+8x-12

2x^3-3x^2-8x-12

Correct answer:

2x^3+3x^2-8x-12

Explanation:

FOIL using the distributive property.

2x^3-8x+3x^2-12=2x^3+3x^2-8x-12

Report an Error

Example Question #28 : How To Use Foil With The Distributive Property

Distribute:

(x-1)(2x+7)

Possible Answers:

2x^2-5x-7

-2x^2+5x-7

2x^2+5x-7

2x^2+5x+7

Correct answer:

2x^2+5x-7

Explanation:

Use the distributive property to FOIL

2x^2+7x-2x-7

Simplify.

2x^2+5x-7

Report an Error

View ACT Math Tutors

Joseph
Certified Tutor

Bank Street College of Education , Master's/Graduate, Early Childhood and Childhood General Education.

View ACT Math Tutors

Andrew
Certified Tutor

University of Wisconsin-Stevens Point, Bachelor of Science, Mathematics. University of Wisconsin-Oshkosh, Master of Science, ...

View ACT Math Tutors

Joseph
Certified Tutor

Florida Atlantic University, Bachelor of Science, Accounting.

All ACT Math Resources

14 Diagnostic Tests 767 Practice Tests Question of the Day Flashcards Learn by Concept

ACT Math Tutors in Top Cities:

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

Popular Courses & Classes

GRE Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Miami, MCAT Courses & Classes in Dallas Fort Worth, LSAT Courses & Classes in Washington DC, GRE Courses & Classes in Phoenix, GRE Courses & Classes in Washington DC, GRE Courses & Classes in San Diego, SSAT Courses & Classes in Washington DC, SSAT Courses & Classes in Atlanta

Popular Test Prep

ISEE Test Prep in Atlanta, MCAT Test Prep in San Diego, ISEE Test Prep in San Francisco-Bay Area, GMAT Test Prep in San Francisco-Bay Area, MCAT Test Prep in Washington DC, ISEE Test Prep in Miami, ISEE Test Prep in Seattle, GRE Test Prep in Dallas Fort Worth, ACT Test Prep in Dallas Fort Worth, ACT Test Prep in San Francisco-Bay Area

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

ACT Math : How to use FOIL with the distributive property

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #21 : How To Use Foil With The Distributive Property

Example Question #22 : How To Use Foil With The Distributive Property

Example Question #21 : How To Use Foil With The Distributive Property

Example Question #22 : How To Use Foil With The Distributive Property

Example Question #23 : How To Use Foil With The Distributive Property

Example Question #24 : How To Use Foil With The Distributive Property

Example Question #25 : How To Use Foil With The Distributive Property

Example Question #26 : How To Use Foil With The Distributive Property

Example Question #27 : How To Use Foil With The Distributive Property

Example Question #28 : How To Use Foil With The Distributive Property

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: