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 #41 : Distributive Property

(2x+3)(10x-2)=

Possible Answers:

20x^2+26x-6

10x^2+26x+6

20x^2-26x-6

10x^2+26x-6

Correct answer:

20x^2+26x-6

Explanation:

Use the distributive property to FOIL.

20x^2-4x+30x-6

=20x^2+26x-6

Report an Error

Example Question #42 : Distributive Property

(x+y)(y+z)

Possible Answers:

y+xy+xz+yz

y^2-xy-xz+yz

y^2+xy+xz-yz

y^2+xy+xz+yz

Correct answer:

y^2+xy+xz+yz

Explanation:

FOIL using the distributive property.

(x+y)(y+z)=xy+xz+y^2+yz

=y^2+xy+xz+yz

Report an Error

Example Question #43 : Distributive Property

(3x-5)(x+3)

Possible Answers:

3x^2+4x+15

3x^2+4x-15

3x^2-4x-15

x^2+4x-15

Correct answer:

3x^2+4x-15

Explanation:

Use the distributive property to FOIL.

3x^2+9x-5x-15

Simplify.

3x^2+4x-15

Report an Error

Example Question #44 : Distributive Property

Use FOIL to expand

(x+2)(x-5)

Possible Answers:

x^2-10

x-3

x^2+3x-10

x^2-3x-10

Correct answer:

x^2-3x-10

Explanation:

To FOIL, simply multiply each term by each term in the other parenthesis. Thus,

x*x+x*(-5)+x*(2)+(-5)(2)=x^2-5x+2x-10=x^2-3x-10

Report an Error

Example Question #45 : Foil

FOIL the following:

(x-2)(x+3)

Possible Answers:

x^2-x+6

x^2-x-6

x^2+5x-6

x^2+x-6

Correct answer:

x^2+x-6

Explanation:

To FOIL, remember the acronym. F-first, O-outside, I-inside, L-last.

Thus, perform the following multiplication.

(x-2)(x+3)

Firsts: $x\cdot x=x^2$

Outside: $x\cdot 3=3x$

Inside: $-2\cdot x=-2x$

Lasts: $-2\cdot 3=-6$

Gathering like terms results in the final equation.

$\\=x^2+3x-2x-6\\=x^2+x-6$

Report an Error

Example Question #2631 : Act Math

What is (2x-3)(2x+3) ?

Possible Answers:

3x^2 - 6

6x^2 - 6

6x^2 - 3

4x^2 - 9

9x^2 - 4

Correct answer:

4x^2 - 9

Explanation:

The simple formula for difference of two squares is:

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

To see this, you can also FOIL out

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

Multiplying the first terms, outer terms, inner terms, and last terms results in the following.

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

Gathering like terms the x's cancel out.

4x^2 - 9

Report an Error

Example Question #47 : Foil

What is (-3x+1)(-3x-1) ?

Possible Answers:

3x^2 - 9

9x^2 - 1

-9x^2 + 1

-9x^2 - 1

9x^2 + 1

Correct answer:

9x^2 - 1

Explanation:

Diffference of two squares formula,

(-3x+1)(-3x-1) =

(-3x)^2 - (1)^2 =

9x^2 - 1

Note that (-3)^2 = 9 , negative cancels out.

You can also FOIL: (-3x+1)(-3x-1) =

Multiplying the first terms, outer terms, inner terms, and last terms results in the following.

9x^2 + 3x - 3x - 1 =

9x^2 - 1

Report an Error

Example Question #41 : How To Use Foil With The Distributive Property

Multiply the complex numbers:

$(3+4i)(2+8i)$ .

Possible Answers:

$26+32i$

$-24+30i$

$-26+32i$

$22+32i$

$-26-32i$

Correct answer:

$-26+32i$

Explanation:

Expanding out gives $6+24i+8i+32i^{2}$ .

We know that $i=\sqrt{-1}$ so when we substitute that in we get $6+32i-32$ .

Report an Error

Example Question #42 : How To Use Foil With The Distributive Property

Solve for .

7x = -3(4-x)

Possible Answers:

$\frac{1}{2}$

$\frac{3}{2}$

$\frac{6}{5}$

Correct answer:

Explanation:

To solve this equation, first distribute on the right side of the equation.

7x = -12+3x

Then, subtract from both sides.

4x=-12

Then divide both sides by .

$\frac{4x}{4}=\frac{-12}{4}$

x=-3

Another method for solving this problem is to plug in the answer choices and solve.

Report an Error

Example Question #47 : Distributive Property

(x+y)(x+2y)=

Possible Answers:

x^2+4xy+2y^2

x^2+3xy+2y^2

x^2+xy+2y^2

x^2+2xy+2y^2

Correct answer:

x^2+3xy+2y^2

Explanation:

FOIL by using the distributive property.

x^2+2xy+xy+2y^2

Now, simplify.

x^2+3xy+2y^2

Report an Error

View ACT Math Tutors

Yaakoub
Certified Tutor

CUNY Queens College, Bachelor of Science, Finance. Vaughn College of Aeronautics and Technology, Bachelor of Science, Electri...

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

Alejandro
Certified Tutor

Kennesaw State University, Bachelor of Science, Computer Software Engineering.

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

LSAT Courses & Classes in Seattle, GMAT Courses & Classes in Denver, SAT Courses & Classes in Washington DC, SAT Courses & Classes in Philadelphia, GMAT Courses & Classes in Miami, GMAT Courses & Classes in San Diego, MCAT Courses & Classes in New York City, ISEE Courses & Classes in Chicago, GRE Courses & Classes in Denver, GRE Courses & Classes in New York City

Popular Test Prep

LSAT Test Prep in Seattle, GRE Test Prep in Los Angeles, SAT Test Prep in Philadelphia, LSAT Test Prep in Philadelphia, MCAT Test Prep in Boston, LSAT Test Prep in New York City, SSAT Test Prep in San Francisco-Bay Area, MCAT Test Prep in San Francisco-Bay Area, GMAT Test Prep in Miami, GRE Test Prep in Denver

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 #41 : Distributive Property

Example Question #42 : Distributive Property

Example Question #43 : Distributive Property

Example Question #44 : Distributive Property

Example Question #45 : Foil

Example Question #2631 : Act Math

Example Question #47 : Foil

Example Question #41 : How To Use Foil With The Distributive Property

Example Question #42 : How To Use Foil With The Distributive Property

Example Question #47 : Distributive Property

All ACT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: