We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Solving Radical Equations

Study concepts, example questions & explanations for Algebra II

Create An Account

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1 2 3 4 5 6 7 8 9 10 11 12 Next →

Example Question #31 : Solving And Graphing Radicals

Solve the equation: $\sqrt{6-x}+2 = 16$

Possible Answers:

400

$\textup{There is no solution.}$

Correct answer:

Explanation:

Subtract two from both sides.

$\sqrt{6-x}+2 -(2)= 16-(2)$

Simplify the equation.

$\sqrt{6-x} = 14$

Square both sides.

$(\sqrt{6-x})^2 =( 14)^2$

6-x=196

Add on both sides.

6-x+x=196+x

6=196+x

Subtract 196 on both sides.

6-196=196+x-196

The answer is:

Report an Error

Example Question #4248 : Algebra Ii

Solve: $\sqrt{9x+2}-4=10$

Possible Answers:

$\frac{194}{9}$

$\frac{172}{9}$

$\frac{26}{9}$

$\frac{98}{9}$

$\textup{There is no solution.}$

Correct answer:

$\frac{194}{9}$

Explanation:

Add four on both sides to isolate the radical.

$\sqrt{9x+2}-4+4=10+4$

Simplify both sides.

$\sqrt{9x+2}= 14$

Square both sides.

$(\sqrt{9x+2})^2= (14)^2$

9x+2=196

Subtract two from both sides.

9x=194

Divide by nine on both sides.

$\frac{9x}{9}=\frac{194}{9}$

The answer is: $\frac{194}{9}$

Report an Error

Example Question #4249 : Algebra Ii

Solve the equation: $\sqrt{2x-3}-19=6$

Possible Answers:

376

314

$\textup{The answer is not given.}$

Correct answer:

314

Explanation:

Add 19 on both sides.

$\sqrt{2x-3}-19+(19)=6+(19)$

Simplify both sides.

$\sqrt{2x-3} = 25$

Square both sides.

$(\sqrt{2x-3})^2= 25^{2}$

2x-3=625

Add three on both sides.

2x-3+3=625+3

2x=628

Divide by two on both sides.

$\frac{2x}{2}=\frac{628}{2}$

Reduce the fractions.

The answer is: 314

Report an Error

Example Question #4250 : Algebra Ii

Solve the equation: $\sqrt{-3x-9} =3$

Possible Answers:

$\textup{No solution.}$

$-\frac{1}{6}$

Correct answer:

Explanation:

Square both sides of the equation.

$(\sqrt{-3x-9}) ^2=3^2$

Simplify both sides.

-3x-9 = 9

Add nine on both sides.

-3x-9 +9= 9+9

-3x=18

Divide both sides by negative three.

$\frac{-3x}{-3}=\frac{18}{-3}$

Simplify both fractions.

x=-6

The answer is:

Report an Error

Example Question #31 : Solving And Graphing Radicals

Solve the equation: $\sqrt{3-3x}+6 =10$

Possible Answers:

$-\frac{19}{3}$

$\textup{No solution.}$

$-\frac{7}{3}$

$-\frac{13}{3}$

$-\frac{7}{3}$

Correct answer:

$-\frac{13}{3}$

Explanation:

Subtract six from both sides.

$\sqrt{3-3x}+6-6 =10-6$

$\sqrt{3-3x}=4$

Square both sides.

$(\sqrt{3-3x})^2=4^2$

3-3x=16

Add on both sides.

3-3x+3x=16+3x

3=16+3x

Subtract 16 from both sides.

3-16=16+3x-16

-13 = 3x

Divide by three on both sides.

$\frac{-13 }{3}=\frac{ 3x}{3}$

The answer is: $-\frac{13}{3}$

Report an Error

Example Question #32 : Solving And Graphing Radicals

Solve the equation: $-\sqrt{-9x}-3 =- 8$

Possible Answers:

$\textup{There is no solution.}$

$-\frac{25}{9}$

$-\frac{5}{9}$

$-\frac{31}{9}$

$-\frac{4}{3}$

Correct answer:

$-\frac{25}{9}$

Explanation:

Add three on both sides.

$-\sqrt{-9x}-3 +3=- 8+3$

$-\sqrt{-9x} = -5$

Divide by negative one to isolate the radical.

$\frac{-\sqrt{-9x}}{-1} = \frac{-5}{-1}$

The equation becomes: $\sqrt{-9x} =5$

Square both sides.

$(\sqrt{-9x})^2 =5^2$

-9x=25

Divide by negative nine on both sides.

$\frac{-9x}{-9}=\frac{25}{-9}$

The answer is: $-\frac{25}{9}$

Report an Error

Example Question #33 : Solving And Graphing Radicals

Solve the equation: $\sqrt{5x+3}+16= 25$

Possible Answers:

$\frac{84}{5}$

412

$\frac{1678}{5}$

$\frac{78}{5}$

Correct answer:

$\frac{78}{5}$

Explanation:

Solve by first subtracting 16 on both sides.

$\sqrt{5x+3}+16-16= 25-16$

The equation becomes:

$\sqrt{5x+3} =9$

Square both sides.

$(\sqrt{5x+3})^2 =9^2$

5x+3=81

Subtract three on both sides.

5x+3-3=81-3

5x=78

Divide by five on both sides.

$\frac{5x}{5}=\frac{78}{5}$

The answer is: $\frac{78}{5}$

Report an Error

Example Question #34 : Solving And Graphing Radicals

Solve the equation: $\sqrt[3]{3x}+6=8$

Possible Answers:

$\frac{8}{3}$

$\frac{3}{2}$

Correct answer:

$\frac{8}{3}$

Explanation:

Subtract six from both sides.

$\sqrt[3]{3x}+6-6=8-6$

Simplify both sides.

$\sqrt[3]{3x} = 2$

Cube both sides to eliminate the cube root.

3x= 2^3

3x=8

Divide by three on both sides.

$\frac{3x}{3}=\frac{8}{3}$

The answer is: $\frac{8}{3}$

Report an Error

Example Question #31 : Solving And Graphing Radicals

Solve the equation: $\sqrt[4]{3(x+1)}+16=18$

Possible Answers:

$\frac{26}{3}$

$\frac{26}{5}$

$\textup{There is no solution.}$

$\frac{13}{3}$

Correct answer:

$\frac{13}{3}$

Explanation:

Simplify by first subtracting 16 on both sides.

$\sqrt[4]{3(x+1)}+16-16=18-16$

$\sqrt[4]{3(x+1)}=2$

Raise both sides by the fourth power.

$(\sqrt[4]{3(x+1)})^4=2^4$

3(x+1)=16

Expand the binomial.

3x+3=16

Subtract three from both sides.

3x+3-3=16-3

3x=13

Divide by three on both sides.

$\frac{3x}{3}=\frac{13}{3}$

The answer is: $\frac{13}{3}$

Report an Error

Example Question #36 : Solving And Graphing Radicals

Solve the equation: $\sqrt[3]{9-x} = 3$

Possible Answers:

$\textup{There is no solution.}$

Correct answer:

Explanation:

To eliminate the radical, we will need to cube both sides of the equation.

$(\sqrt[3]{9-x})^3 = 3^3$

The equation becomes:

9-x = 27

Add on both sides.

9-x+(x) = 27+(x)

9=27+x

Subtract 27 from both sides.

9-27=27+x-27

x=-18

This answer is valid after re-substituting back to the original equation.

The answer is:

Report an Error

← Previous 1 2 3 4 5 6 7 8 9 10 11 12 Next →

View Algebra 2 Tutors

Swagatika
Certified Tutor

Regional Institute of Education Bhubaneswar, Bachelor of Economics, Mathematics.

View Algebra 2 Tutors

Alena
Certified Tutor

Mogilevsky State Pedagogical Institute, Bachelor in Arts, Mathematics. Mogilevsky State Pedagogical Institute, Masters, Mathe...

View Algebra 2 Tutors

Jitendra
Certified Tutor

BHU, Bachelor, Mathematics.

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Biology Tutors in Washington DC, Chemistry Tutors in Boston, LSAT Tutors in Denver, ISEE Tutors in Washington DC, Statistics Tutors in Seattle, Physics Tutors in Denver, English Tutors in Seattle, English Tutors in Dallas Fort Worth, Math Tutors in New York City, LSAT Tutors in Los Angeles

Popular Courses & Classes

ISEE Courses & Classes in Atlanta, SAT Courses & Classes in Boston, MCAT Courses & Classes in Houston, SAT Courses & Classes in Washington DC, Spanish Courses & Classes in Los Angeles, GMAT Courses & Classes in Dallas Fort Worth, SAT Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Atlanta, ISEE Courses & Classes in Seattle, SAT Courses & Classes in Seattle

Popular Test Prep

GMAT Test Prep in Dallas Fort Worth, MCAT Test Prep in Denver, GMAT Test Prep in Houston, SSAT Test Prep in Denver, ISEE Test Prep in Seattle, GRE Test Prep in Miami, SSAT Test Prep in Washington DC, GRE Test Prep in Denver, LSAT Test Prep in Philadelphia, LSAT 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 II : Solving Radical Equations

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #31 : Solving And Graphing Radicals

Example Question #4248 : Algebra Ii

Example Question #4249 : Algebra Ii

Example Question #4250 : Algebra Ii

Example Question #31 : Solving And Graphing Radicals

Example Question #32 : Solving And Graphing Radicals

Example Question #33 : Solving And Graphing Radicals

Example Question #34 : Solving And Graphing Radicals

Example Question #31 : Solving And Graphing Radicals

Example Question #36 : Solving And Graphing Radicals

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: