Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : Binomials

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 #1 : How To Multiply Binomials With The Distributive Property

Simplify:

-5(x+15)-3x

Possible Answers:

None of the other answers are correct.

2x-75

-8x+15

-8x-75

2x+15

Correct answer:

-8x-75

Explanation:

First, distribute –5 through the parentheses by multiplying both terms by –5.

-5(x+15)-3x=-5x-75-3x

Then, combine the like-termed variables (–5x and –3x).

-5x-75-3x=-8x-75

Report an Error

Example Question #1 : How To Multiply Binomials With The Distributive Property

Expand:

$\frac{1}{3}(2x^2-6)(4x-\frac{2}{3})$

Possible Answers:

$-2\frac{2}{3}x^3-\frac{4}{9}x^2-8x+1\frac{1}{3}$

$2\frac{2}{3}x^3-\frac{4}{9}x^2-8x-1\frac{1}{3}$

$2\frac{2}{3}x^3+\frac{4}{9}x^2-8x+1\frac{1}{3}$

$2\frac{2}{3}x^3-\frac{4}{9}x^2+8x+1\frac{1}{3}$

$2\frac{2}{3}x^3-\frac{4}{9}x^2-8x+1\frac{1}{3}$

Correct answer:

$2\frac{2}{3}x^3-\frac{4}{9}x^2-8x+1\frac{1}{3}$

Explanation:

First, FOIL:

$\frac{1}{3}(8x^3-\frac{4}{3}x^2-24x+\frac{12}{3})$

Simplify:

$\frac{1}{3}(8x^3-\frac{4}{3}x^2-24x+4)$

Distribute the $\frac{1}{3}$ through the parentheses:

$\frac{8}{3}x^3-\frac{4}{9}x^2-\frac{24}{3}x+\frac{4}{3}$

Rewrite to make the expression look like one of the answer choices:

$2\frac{2}{3}x^3-\frac{4}{9}x^2-8x+1\frac{1}{3}$

Report an Error

Example Question #3 : How To Multiply Binomials With The Distributive Property

$\textup{If }x^{2}+4x+3=0 \textup{ , what are the possible values of }x\textup{?}$

Possible Answers:

4, 3

1,3

-3, 1

-3, -1

-1, 3

Correct answer:

-3, -1

Explanation:

$\textup{Factor the quadratic into two binomials.}$ $\, \:\left( x+a\right )\left ( x+b\right )$

$\textup{The sum of the missing numbers is the coefficient of }4x$ .

$\textup{The product of these numbers is the constant in the quadratic.}$

$a+b=4\:\:\:a\times b=3\:\:\textup{Therefore, }a\textup{ and }b\textup{ are 1 and 3.}$

$\left ( x+3\right )\left ( x+1\right )=0\:\:\:x= -3\textup{ or }-1$

Report an Error

Example Question #2 : How To Multiply Binomials With The Distributive Property

Expand:

(4x-1)(-2x+3)

Possible Answers:

$8x^{2}+10x-3$

None of the other answers are correct.

$-8x^{2}+10x-3$

$-8x^{2}+14x-3$

$8x^{2}+14x-3$

Correct answer:

$-8x^{2}+14x-3$

Explanation:

Use the FOIL method, which stands for First, Inner, Outer, Last:

(4x)(-2x)+(4x)(3)+(-1)(-2x)+(-1)(3)

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

$=-8x^{2}+14x-3$

Report an Error

Example Question #3 : How To Multiply Binomials With The Distributive Property

Using the distributive property, simplify the following:

4(3x^2+5x-2)

Possible Answers:

7x^2+9x-6

12x^2+20x+8

12x^2+20x-8

0.75x^2+0.8x-0.5

7x^2+9x+2

Correct answer:

12x^2+20x-8

Explanation:

The distributive property is handy to help get rid of parentheses in expressions. The distributive property says you "distribute" the multiple to every term inside the parentheses. In symbols, the rule states that

a(b+c)=ab+ac

So, using this rule, we get 4(3x^2+5x-2) =4*3x^2+4*5x-4*2) = 12x^2+20x-8

Thus we have our answer is 12x^2+20x-8 .

Report an Error

Example Question #2 : Binomials

Expand:

(x-9)(3x+2)

Possible Answers:

None of the other answers

$3x^{2}-25x-18$

$3x^{2}-29x-18$

$3x^{2}-18x-29$

$3x^{2}-18x-25$

Correct answer:

$3x^{2}-25x-18$

Explanation:

To multiple these binomials, you can use the FOIL method to multiply each of the expressions individually.This will give you

(x)(3x)+(x)(2)+(-9)(3x)+(-9)(2)

or $3x^{2}-25x-18$ .

Report an Error

Example Question #2 : How To Multiply Binomials With The Distributive Property

Multiply: (x+9)(8-x)

Possible Answers:

-x^2-17x+72

-x^2+x+72

-x^2-x+72

-x^2-17x-72

x^2-x-72

Correct answer:

-x^2-x+72

Explanation:

In order to multiply the binomials, we will need to multiply each term of the first binomial with the terms of the second binomial.

(x+9)(8-x) = (x)(8)+(x)(-x)+(9)(8)+(9)(-x)

Simplify each term.

8x-x^2+72-9x

Combine like terms and reorder the powers from highest to lowest order.

The answer is: -x^2-x+72

Report an Error

Example Question #1 : How To Multiply Binomials With The Distributive Property

Multiply the binomials: (3-x)(y-z)

Possible Answers:

3y+3z-xy+xz

3y-3z-xy+xz

3y-3z+xy+xz

3y+xz

3y-xy+xz

Correct answer:

3y-3z-xy+xz

Explanation:

Multiply each term of the first binomial with the terms of the second binomial.

(3)(y)+(3)(-z)+(-x)(y)+(-x)(-z)

Simplify the terms of this expression.

3y-3z-xy+xz

There are no like terms to simplify.

The answer is: 3y-3z-xy+xz

Report an Error

Example Question #1 : Binomials

Multiply: (9-2x)(3+6x)

Possible Answers:

-12x^2-48x+12

-8x^2+48x+27

-12x^2-48x+27

-12x^2+48x+27

-4x^2+48x+27

Correct answer:

-12x^2+48x+27

Explanation:

Multiply each term of the first binomial with the second binomial and add the terms.

9(3+6x) +(-2x)(3+6x)

Simplify by distribution.

27+54x-6x-12x^2

Combine like-terms.

27+48x-12x^2

The answer is: -12x^2+48x+27

Report an Error

Example Question #8 : How To Multiply Binomials With The Distributive Property

Simplify the following expression.

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

Possible Answers:

$27x^{2}+4x-40$

$-3x^{3}+30x^{2}+4x-40$

$-3x^{3}+34x^{2}+40$

None of the other answers

$3x^{3}+30x^{2}+4x+40$

Correct answer:

$-3x^{3}+30x^{2}+4x-40$

Explanation:

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

Use the FOIL method to multiply the binomials given.

F: $-x(3x^{2})=-3x^{3}$

O: -x(-4)=4x

I: $10(3x^{2})=30x^{2}$

L: 10(-4)=-40

Group any like terms (none for this problem) when putting all the terms back together.

$-3x^{3}+30x^{2}+4x-40$

Report an Error

View Algebra Tutors

Midori
Certified Tutor

University of Connecticut, Bachelor in Arts, Applied Mathematics. University of Southern California, Master of Arts Teaching,...

View Algebra Tutors

Mariam
Certified Tutor

Yarmouk University, Bachelor of Science, Mathematics. Touro College, Master of Science, Teacher Education, Multiple Levels.

View Algebra Tutors

Tajrin
Certified Tutor

CUNY Brooklyn College, Bachelor of Science, Computer Science.

All Algebra 1 Resources

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

Popular Subjects

Spanish Tutors in Miami, GRE Tutors in Denver, Biology Tutors in Atlanta, Biology Tutors in Los Angeles, GMAT Tutors in Phoenix, Spanish Tutors in New York City, GMAT Tutors in Chicago, Chemistry Tutors in Chicago, Reading Tutors in Los Angeles, English Tutors in Seattle

Popular Courses & Classes

Spanish Courses & Classes in Atlanta, LSAT Courses & Classes in Chicago, SSAT Courses & Classes in Miami, ISEE Courses & Classes in Washington DC, LSAT Courses & Classes in Philadelphia, ACT Courses & Classes in New York City, ACT Courses & Classes in Dallas Fort Worth, MCAT Courses & Classes in Houston, MCAT Courses & Classes in Atlanta, ACT Courses & Classes in Chicago

Popular Test Prep

GMAT Test Prep in San Diego, ISEE Test Prep in Phoenix, ISEE Test Prep in Denver, SSAT Test Prep in Los Angeles, ACT Test Prep in Dallas Fort Worth, MCAT Test Prep in Los Angeles, LSAT Test Prep in Los Angeles, LSAT Test Prep in New York City, SSAT Test Prep in Atlanta, LSAT Test Prep in Atlanta

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 : Binomials

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #1 : How To Multiply Binomials With The Distributive Property

Example Question #1 : How To Multiply Binomials With The Distributive Property

Example Question #3 : How To Multiply Binomials With The Distributive Property

Example Question #2 : How To Multiply Binomials With The Distributive Property

Example Question #3 : How To Multiply Binomials With The Distributive Property

Example Question #2 : Binomials

Example Question #2 : How To Multiply Binomials With The Distributive Property

Example Question #1 : How To Multiply Binomials With The Distributive Property

Example Question #1 : Binomials

Example Question #8 : How To Multiply Binomials With The Distributive Property

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: