We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Solving 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

Example Question #211 : Solving Equations

Solve the equation: -3x+10 = -3

Possible Answers:

$-\frac{7}{3}$

$\frac{13}{3}$

$\frac{7}{3}$

$-\frac{13}{3}$

Correct answer:

$\frac{13}{3}$

Explanation:

Subtract ten from both sides.

-3x+10 -10= -3-10

Simplify both sides.

-3x=-13

Divide by negative three on both sides.

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

Simplify both fractions on each side of the equation.

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

Report an Error

Example Question #212 : Solving Equations

Solve for

$\frac{5y^3+4^5}{23*8^4}=2^5$

Possible Answers:

$y\approx 44.49$

$y\approx 39.85$

None of these

$y\approx 37.51$

$y\approx 84.47$

Correct answer:

$y\approx 84.47$

Explanation:

$y^3=\frac{(2^5)(23*8^4)-4^5}{5}$

5y^3+4^5=(2^5)(23*8^4)

5y^3=(2^5)(23*8^4)-4^5

$y^3=\frac{(2^5)(23*8^4)-4^5}{5}$

$y=\sqrt[3]{\frac{(2^5)(23*8^4)-4^5}{5}}$

$y=\sqrt[3]{\frac{(32)(23*4096)-1024}{5}}$

$y=\sqrt[3]{\frac{(32)(94208)-1024}{5}}$

$y=\sqrt[3]{\frac{3014656-1024}{5}}$

$y=\sqrt[3]{\frac{3013632}{5}}$

$y=\sqrt[3]{602726.4}$

$y\approx 84.47$

Report an Error

Example Question #213 : Solving Equations

Solve the equation: 6x+3 = -6x-9

Possible Answers:

$\frac{2}{3}$

$-\frac{2}{3}$

$\textup{There is no solution.}$

Correct answer:

Explanation:

Solve by grouping the variables and the integers on separate sides.

Add on both sides.

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

12x+3=-9

Subtract three on both sides.

12x+3-3=-9-3

12x=-12

Divide by 12 on both sides.

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

Reduce both fractions.

The answer is:

Report an Error

Example Question #214 : Solving Equations

Solve the equation: $\frac{3}{8}x-\frac{11}{8}=\frac{1}{8}$

Possible Answers:

$\frac{1}{4}$

$-\frac{1}{8}$

$-\frac{1}{4}$

Correct answer:

Explanation:

The fractions all have a common denominator on both sides.

Multiply by eight on both sides of the equation.

$8(\frac{3}{8}x-\frac{11}{8})=8(\frac{1}{8})$

The equation becomes:

3x-11=1

Add 11 on both sides.

3x-11+11=1+11

3x=12

Divide by 3 on both sides.

The answer is: x=4

Report an Error

Example Question #215 : Solving Equations

Solve the equation: 3x+62 = -47

Possible Answers:

$-\frac{25}{3}$

$-\frac{1}{5}$

$\frac{109}{3}$

$-\frac{109}{3}$

Correct answer:

$-\frac{109}{3}$

Explanation:

Subtract 62 from both sides of the equation.

3x+62-62 = -47-62

Simplify both sides.

3x=-109

Divide by three on both sides.

$\frac{3x}{3}=\frac{-109}{3}$

The right side is irreducible.

The answer is: $x=-\frac{109}{3}$

Report an Error

Example Question #216 : Solving Equations

Solve the equation: 4x-9 = 8+12x

Possible Answers:

$-\frac{7}{8}$

$-\frac{1}{8}$

$-\frac{16}{17}$

$-\frac{31}{8}$

$-\frac{17}{8}$

Correct answer:

$-\frac{17}{8}$

Explanation:

Isolate the terms with the x-variable on one side, and the integers on the other.

Subtract on both sides.

4x-9 -4x = 8+12x-4x

-9=8x+8

Subtract 8 from both sides.

-9-8=8x+8-8

-17=8x

Divide by eight on both sides.

$\frac{-17}{8}=\frac{8x}{8}$

The answer is: $-\frac{17}{8}$

Report an Error

Example Question #217 : Solving Equations

Solve the equation: 9x+7 = 2(x-2)

Possible Answers:

$-\frac{22}{7}$

$-\frac{22}{3}$

$-\frac{11}{7}$

$\frac{3}{7}$

$-\frac{9}{7}$

Correct answer:

$-\frac{11}{7}$

Explanation:

Simplify by first distributing the two through the binomial on the right side of the equation.

9x+7 = 2x-4

Subtract both sides by .

9x+7-2x = 2x-4-2x

Simplify both sides.

7x+7 = -4

Subtract seven on both sides.

7x+7 -7= -4-7

7x=-11

Divide by seven on both sides.

The answer is: $x=-\frac{11}{7}$

Report an Error

Example Question #218 : Solving Equations

Solve the equation: 9x-3=4x+8

Possible Answers:

$\frac{11}{5}$

$-\frac{11}{13}$

$\frac{11}{13}$

$-\frac{5}{13}$

$-\frac{11}{5}$

Correct answer:

$\frac{11}{5}$

Explanation:

Subtract the term on both sides of the equation.

9x-3-(4x)=4x+8-(4x)

Simplify the equation.

5x-3 =8

Add three on both sides.

5x-3 +(3)=8+(3)

5x=11

Divide by five on both side

$\frac{5x}{5}= \frac{11}{5}$

The answer is: $\frac{11}{5}$

Report an Error

Example Question #219 : Solving Equations

Solve for .

5(x+4)=20

Possible Answers:

Correct answer:

Explanation:

To solve for , we need to isolate the variable by having the variable on one side and numbers on the other side.

5(x+4)=20 Divide on both sides.

x+4=4 Subtract on both sides.

x=0

Report an Error

Example Question #220 : Solving Equations

Solve for .

7x-83=6x-24

Possible Answers:

Correct answer:

Explanation:

To solve for , we need to isolate the variable by having the variable on one side and numbers on the other side.

7x-83=6x-24 Subtract on both sides.

x-83=-24 Add on both sides.

x=59

Report an Error

View Algebra 2 Tutors

Danielle
Certified Tutor

View Algebra 2 Tutors

Dhaval
Certified Tutor

Stevens Institute of Technology, Master of Science, Mechanical Engineering.

View Algebra 2 Tutors

Kaltra
Certified Tutor

University of Florida, Bachelor of Science, Biomedical Engineering.

All Algebra II Resources

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

Popular Subjects

ACT Tutors in Houston, Algebra Tutors in Washington DC, Math Tutors in Boston, LSAT Tutors in Phoenix, English Tutors in San Francisco-Bay Area, Chemistry Tutors in Philadelphia, MCAT Tutors in Philadelphia, French Tutors in Chicago, Math Tutors in Denver, Math Tutors in Phoenix

Popular Courses & Classes

Spanish Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in Seattle, GRE Courses & Classes in Atlanta, GMAT Courses & Classes in Washington DC, GRE Courses & Classes in Denver, SAT Courses & Classes in Seattle, MCAT Courses & Classes in Phoenix, MCAT Courses & Classes in New York City, Spanish Courses & Classes in Denver, ISEE Courses & Classes in Philadelphia

Popular Test Prep

SAT Test Prep in Boston, SSAT Test Prep in San Francisco-Bay Area, ISEE Test Prep in San Diego, GRE Test Prep in Boston, MCAT Test Prep in New York City, GRE Test Prep in Houston, GMAT Test Prep in Washington DC, GMAT Test Prep in Philadelphia, SAT Test Prep in Phoenix, SAT 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

Algebra II : Solving Equations

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #211 : Solving Equations

Example Question #212 : Solving Equations

Example Question #213 : Solving Equations

Example Question #214 : Solving Equations

Example Question #215 : Solving Equations

Example Question #216 : Solving Equations

Example Question #217 : Solving Equations

Example Question #218 : Solving Equations

Example Question #219 : Solving Equations

Example Question #220 : Solving Equations

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: