We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : Monomials

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

← Previous 1 2 3 4 5 6 7 8 9 … 15 16 Next →

Example Question #31 : Monomials

$3xy\cdot (2x+7)$

Possible Answers:

6xy^2+21xy

27xy

15xy

5x^2y+10xy

6x^2y+21xy

Correct answer:

6x^2y+21xy

Explanation:

Distribute the minimal into the binomial to evaluate:

$3xy\cdot (2×+7)=6x^2y+21xy$

Report an Error

Example Question #4687 : Algebra 1

Multiply: 9x(3x^3+2x+1)

Possible Answers:

27x^3+11x^2+9x

12x^4+18x^2+9x

3x^3+11x+1

12x^4+11x^2+10x

27x^4+18x^2+9x

Correct answer:

27x^4+18x^2+9x

Explanation:

In order to simplify this expression, we must distribute the term among all the terms inside the parentheses. If there are any like terms existent afterward, we will need to combine like terms.

9x(3x^3+2x+1)=9x(3x^3)+9x(2x)+9x(1)

=27x^4+18x^2+9x

The answer is: 27x^4+18x^2+9x

Report an Error

Example Question #4688 : Algebra 1

Multiply: 2x(x+5)

Possible Answers:

2x^2 + 5

3x + 10

2x^2 + 10x

2x + 10

Correct answer:

2x^2 + 10x

Explanation:

use the distributive property: 2x*x + 2x* 5

x*x = x^2 so 2x*x = 2x^2

2*5 = 10 so 2x*5 = 10x

The answer is 2x^2 + 10x

Report an Error

Example Question #4689 : Algebra 1

Multiply: 7x (x^2+3x-1)

Possible Answers:

x^3-9x-1

14x^3+21x^2-x

21x^2-7x

7x^3+x^2-x

7x^3+21x^2-7x

Correct answer:

7x^3+21x^2-7x

Explanation:

Distribute the throughout each term in the parentheses.

7x (x^2+3x-1)= (7x)(x^2) + (7x)(3x)+(7x)(-1)

Simplify all terms on the right.

The answer is: 7x^3+21x^2-7x

Report an Error

Example Question #32 : Monomials

Expand the following:

3x(x+5)

Possible Answers:

3x^2+15x

3x^2+5

x+15x

Correct answer:

3x^2+15x

Explanation:

To expand this, you must distribute the 3x to each of the terms in the parenthesis. Therefore, you get the following:

3x(x+5)

(3x)(x)+(3x)(5)

3x^2+15x

Report an Error

Example Question #4691 : Algebra 1

Multiply: 3x^4(x^2+x-6)

Possible Answers:

$4x^{6}+4x^{5}-9x^4$

$3x^{8}+3x^{4}-18x^4$

$3x^{6}+3x^{5}-18x^4$

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

$4x^{8}+4x^{4}-9x^4$

Correct answer:

$3x^{6}+3x^{5}-18x^4$

Explanation:

Multiply by distributing the 3x^4 term across each term in the parentheses.

3x^4(x^2+x-6) = (3x^4)(x^2)+(3x^4)(x)+(3x^4)(-6)

Expand each term. When multiplying similar bases with a power, their powers can be added.

$3x^{4+2}+3x^{4+1}-18x^4$

Simplify.

The answer is: $3x^{6}+3x^{5}-18x^4$

Report an Error

Example Question #4692 : Algebra 1

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

Possible Answers:

2x^2+9x-18

-3x^2+9x-18

-3x^4+9x^3-18x^2

2x^2+3x-6

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

Correct answer:

-3x^4+9x^3-18x^2

Explanation:

To simplify this expression, simply distribute the monomial throughout the terms inside the polynomial.

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

Simplify all the terms. When multiplying bases with a power, it is the same as adding the powers.

The answer is: -3x^4+9x^3-18x^2

Report an Error

Example Question #4693 : Algebra 1

Multiply: 2xy^3(x^2+y^3-xy)

Possible Answers:

2x^3y^3+2xy^6-2x^2y^4

2x^2y^3+2xy^6-2x^2y^3

2x^3y^3+y^3-xy

2x^4y^7

$\frac{2y^3}{x}+2xy^6-2y^2$

Correct answer:

2x^3y^3+2xy^6-2x^2y^4

Explanation:

Distribute the monomial throughout the terms of the polynomial.

2xy^3(x^2)+2xy^3(y^3)-2xy^3(xy)

Simplify these terms. When similar bases of a particular power are multiplied, their powers can be added.

The answer is: 2x^3y^3+2xy^6-2x^2y^4

Report an Error

Example Question #32 : Monomials

Multiply with 3x^2+3x+6 .

Possible Answers:

6x^2+3x+6

5x^3+5x^2+8x

5x^2+3x+6

6x^3+6x^2+12x

12x^3+12x

Correct answer:

6x^3+6x^2+12x

Explanation:

Write the expression of the multiplied terms.

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

Distribute the monomial with each term in the polynomial.

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

Simplify this expression.

The answer is: 6x^3+6x^2+12x

Report an Error

Example Question #4695 : Algebra 1

Multiply: -3y^2(x-y-y^2+z)

Possible Answers:

-3xy^2+3y^2+3y^3-3y^2z

-3xy^2+6y^4-3y^2z

-3xy^2+3y^3+3y^4-3y^2z

-3xy^2-3y^3-3y^4+3y^2z

-3xy^4z

Correct answer:

-3xy^2+3y^3+3y^4-3y^2z

Explanation:

Distribute the monomial throughout each term in the polynomial. Be careful with sign changes.

(-3y^2)(x)-(-3y^2)(y)-(-3y^2)(y^2)+(-3y^2)(z)

Simplify each term. The powers of similar bases multiplied by each other can be added.

-3xy^2+3y^3+3y^4-3y^2z

There are no like terms.

The answer is: -3xy^2+3y^3+3y^4-3y^2z

Report an Error

← Previous 1 2 3 4 5 6 7 8 9 … 15 16 Next →

View Algebra Tutors

Sofia
Certified Tutor

University of Florida, Bachelor of Science, Chemistry.

View Algebra Tutors

Michael
Certified Tutor

Columbia University in the City of New York, Master of Arts, Film Studies.

View Algebra Tutors

Oba Ahday
Certified Tutor

Medaille College, Masters in Education, Elementary School Teaching.

All Algebra 1 Resources

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

Popular Subjects

Spanish Tutors in Philadelphia, Biology Tutors in Washington DC, Calculus Tutors in Denver, SAT Tutors in Dallas Fort Worth, ISEE Tutors in Phoenix, Biology Tutors in San Diego, Biology Tutors in Phoenix, ACT Tutors in Atlanta, Algebra Tutors in Miami, MCAT Tutors in Denver

Popular Courses & Classes

SAT Courses & Classes in Seattle, SAT Courses & Classes in New York City, SSAT Courses & Classes in Boston, ACT Courses & Classes in Atlanta, SAT Courses & Classes in Boston, ISEE Courses & Classes in Seattle, ISEE Courses & Classes in Boston, MCAT Courses & Classes in Atlanta, ISEE Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in Houston

Popular Test Prep

SSAT Test Prep in Miami, ACT Test Prep in Atlanta, GRE Test Prep in San Diego, MCAT Test Prep in Los Angeles, SAT Test Prep in Houston, GRE Test Prep in San Francisco-Bay Area, SSAT Test Prep in Los Angeles, LSAT Test Prep in Boston, SAT Test Prep in Boston, ISEE 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

Algebra 1 : Monomials

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #31 : Monomials

Example Question #4687 : Algebra 1

Example Question #4688 : Algebra 1

Example Question #4689 : Algebra 1

Example Question #32 : Monomials

Example Question #4691 : Algebra 1

Example Question #4692 : Algebra 1

Example Question #4693 : Algebra 1

Example Question #32 : Monomials

Example Question #4695 : Algebra 1

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: