Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : 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 #251 : Equations

Solve for .

16x=272

Possible Answers:

Correct answer:

Explanation:

16x=272 Divide on both sides.

x=17

Report an Error

Example Question #252 : Equations

Solve for .

-23x=1219

Possible Answers:

Correct answer:

Explanation:

-23x=1219 Divide on both sides.

x=-53

Report an Error

Example Question #253 : Equations

Solve for

-7(8-x)=3x

Possible Answers:

Correct answer:

Explanation:

-7(8-x)=3x Distribute to each term in the parenthesis.

-56+7x=3x Subtract on both sides.

-56=-4x Divide on both sides.

14=x

Report an Error

Example Question #253 : Equations

Solve for .

$\frac{x}{5}=28$

Possible Answers:

110

150

160

120

140

Correct answer:

140

Explanation:

$\frac{x}{5}=28$ Multiply on both sides.

x=140

Report an Error

Example Question #603 : Basic Single Variable Algebra

Solve for .

$\frac{4}{5}x=240$

Possible Answers:

192

320

268

212

300

Correct answer:

300

Explanation:

$\frac{4}{5}x=240$ Multiply $\frac{5}{4}$ on both sides.

x=300

Report an Error

Example Question #123 : Solving Equations

Solve for .

$\frac{5}{x}=30$

Possible Answers:

150

$\frac{1}{6}$

$\frac{50}{9}$

$\frac{1}{30}$

Correct answer:

$\frac{1}{6}$

Explanation:

$\frac{5}{x}=30$ Cross multiply.

5=30x Divide on both sides.

$x=\frac{1}{6}$

Report an Error

Example Question #603 : Basic Single Variable Algebra

Solve for .

x+43.56=89.23

Possible Answers:

45.77

55.34

36.97

45.67

23.89

Correct answer:

45.67

Explanation:

x+43.56=89.23 Subtract 43.56 on both sides.

x=45.67

Report an Error

Example Question #257 : Equations

Solve for in the linear equation.

10-20x = 12x+2

Possible Answers:

$x = \frac{1}{2}$

$x = \frac{1}{4}$

x = 4

$x = \frac{1}{3}$

x = 2

Correct answer:

$x = \frac{1}{4}$

Explanation:

To solve for the variable in the linear equation, isolate the variable on one side of the equation with all other constants on the other side. To accomplish this, perform opposite operations when manipulating the equation.

First, add 20x to both sides.

10-20x = 12x +2

${\color{Red} +20x }$ ${\color{Red} +20x }$

Next subtract 2 from both sides.

10=32x+2

${\color{Red} -2 }$ ${\color{Red} -2 }$

Divide both sides by 32.

$\frac{8}{32} = \frac{32x}{32}$

$x = \frac{1}{4}$

Report an Error

Example Question #258 : Equations

Solve the equation for b

$\frac{x}{y} = -abc$

Possible Answers:

$b = -\frac{acx}{y}$

$b = -\frac{y}{acx}$

$b = \frac{acy}{x}$

$b = -\frac{x}{acy}$

$b=\frac{xy}{ac}$

Correct answer:

$b = -\frac{x}{acy}$

Explanation:

In order to isolate b, divide both sides by -ac which is called $--> \frac{x}{y}(\frac{{\color{Red} 1}}{{\color{Red} -ac}}) = {-abc}(\frac{{\color{Red} 1}}{{\color{Red} -ac}}) --> b = -\frac{x}{acy}$ i operations.

$\frac{x}{y} = -abc$ $--> \frac{x}{y}(\frac{1}{-ac}) = {-abc}(\frac{1}{-ac}) --> b = -\frac{x}{acy}$

Report an Error

Example Question #259 : Equations

Solve for b in the rational equation

$\frac{20}{10+b}= \frac{1}{b}$

Possible Answers:

$b = \frac{19}{10}$

$b = \frac{10}{21}$

$b = \frac{1}{2}$

$b=\frac{3}{4}$

$b = \frac{10}{19}$

Correct answer:

$b = \frac{10}{19}$

Explanation:

To solve this, use inverse and opposite properties:

Multiply both sides by b: $\frac{20}{10+b}= \frac{1}{b}$ $\Rightarrow (\frac{20}{10+b}){\color{Red} b} = \frac{1}{b}(\frac{{\color{Red} b}}{{\color{Red} 1}})$

Multiply both sides by 10+b:

$(\frac{20b}{10+b})(\frac{{\color{Red} 10+b}}{{\color{Red} 1}})= 1({\color{Red} 10+b}) \Rightarrow 20b = 10+b$

Subtract b from both sides: $20b -{\color{Red} (b)}= (10+b)-{\color{Red} (b)} -> 19b=10$

Finally divide both sides by 19 yielding: $b = \frac{10}{19}$

Report an Error

View Algebra 2 Tutors

Pushpendra
Certified Tutor

university of allahabad, Bachelor of Science, Mathematics.

View Algebra 2 Tutors

Jordyn
Certified Tutor

University of Illinois at Chicago, Bachelor of Science, Biological and Physical Sciences.

View Algebra 2 Tutors

Dean
Certified Tutor

Florida Atlantic University, Master of Science, Mathematics.

All Algebra II Resources

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

Popular Subjects

Math Tutors in Phoenix, Computer Science Tutors in San Francisco-Bay Area, SSAT Tutors in Boston, LSAT Tutors in Boston, ISEE Tutors in San Francisco-Bay Area, Algebra Tutors in Washington DC, Calculus Tutors in Denver, French Tutors in Philadelphia, Physics Tutors in San Francisco-Bay Area, Algebra Tutors in Philadelphia

Popular Courses & Classes

MCAT Courses & Classes in Dallas Fort Worth, Spanish Courses & Classes in San Diego, ACT Courses & Classes in Washington DC, ISEE Courses & Classes in San Diego, ACT Courses & Classes in Los Angeles, SAT Courses & Classes in New York City, ISEE Courses & Classes in Washington DC, ISEE Courses & Classes in New York City, ACT Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in Atlanta

Popular Test Prep

GMAT Test Prep in Seattle, SSAT Test Prep in San Diego, GMAT Test Prep in Phoenix, SAT Test Prep in Seattle, MCAT Test Prep in Seattle, MCAT Test Prep in Dallas Fort Worth, ACT Test Prep in Los Angeles, SSAT Test Prep in San Francisco-Bay Area, SSAT Test Prep in Houston, GRE Test Prep in Washington DC

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 : Equations

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #251 : Equations

Example Question #252 : Equations

Example Question #253 : Equations

Example Question #253 : Equations

Example Question #603 : Basic Single Variable Algebra

Example Question #123 : Solving Equations

Example Question #603 : Basic Single Variable Algebra

Example Question #257 : Equations

Example Question #258 : Equations

Example Question #259 : Equations

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: