Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : Linear Equations

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 #601 : Algebra 1

Solve for .

$-11=\frac{x+3}{-8}$

Possible Answers:

Correct answer:

Explanation:

$-11=\frac{x+3}{-8}$

Multiply both sides by .

$(-11)(-8)=\left ( \frac{x+3}{-8}\right )(-8)$

When we multiply a negative number by a negative number the answer is always positive.

88=x+3

Subtract both sides by .

x=85

Report an Error

Example Question #602 : Algebra 1

Solve for .

4x+6=-2

Possible Answers:

Correct answer:

Explanation:

4x+6=-2

Subtract from both sides. Since we are essentially adding two negative numbers, we will treat the right side of the equation as an addition problem and put a negative sign afterwards.

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

4x=-8

Divide both sides by .

$\frac{4x}{4}=\frac{(-8)}{4}$

When we divide a negative number by a positive number the answer is always negative.

x=-2

Report an Error

Example Question #71 : How To Solve Two Step Equations

Solve for .

0.9x+0.1=-1.7

Possible Answers:

-0.2

-0.02

-1.8

Correct answer:

Explanation:

0.9x+0.1=-1.7

Subtract 0.1 from both sides. Since we are essentially adding two negative numbers, we will treat the right side of the equation as an addition problem and put a negative sign afterwards. Remember to line up all the decimal points together.

0.9x+0.1-0.1=-(1.7+0.1)

0.9x=-1.8

Divide both sides by 0.9 .

$\frac{0.9x}{0.9}=\frac{-1.8}{0.9}$

When we divide a negative number by a positive number the answer is always negative. Since we are dealing with decimals, we can make it easier to divide by shifting the decimal point by one place on the top and bottom of the division bar.

We now have:

$x=\frac{-1.8}{0.9}=-\frac{18}{9}$

x=-2

Report an Error

Example Question #72 : How To Solve Two Step Equations

Solve for .

$9-\frac{x}{2}=-2$

Possible Answers:

Correct answer:

Explanation:

$9-\frac{x}{2}=-2$

Subtract from both sides. Since we are essentially adding two negative numbers, we will treat the right side of the equation as an addition problem and put a negative sign afterwards.

$9-9-\frac{x}{2}=-(2+9)$
$-11=-\frac{x}{2}$

Multiply both sides by . When we multiply a negative number by a negative number the answer is always positive.

$-2(-11)=\left ( -\frac{x}{2}\right )(-2)$

When we multiply a negative number by a negative number the answer is always positive.

x=22

Report an Error

Example Question #605 : Linear Equations

Solve for .

$\frac{132}{x}=4$

Possible Answers:

264

528

Correct answer:

Explanation:

$\frac{132}{x}=4$

Multiply both sides by .

$\left (\frac{132}{x} \right )x=4(x)$

4x=132

Divide both sides by .

$\frac{4x}{4}=\frac{132}{4}$

x=33

Report an Error

Example Question #606 : Linear Equations

Solve the equation for .

3x-2=x+6

Possible Answers:

x=1

$x=\frac{3}2{}$

x=-10

x=0

x=4

Correct answer:

x=4

Explanation:

To solve for x, get the variable onto one side of the equal sign and the nonvariables onto the other side of the equal side.

3x-2=x+6

3x-x=6+2

2x=8

Now divide by two to solve for x.

x=4

Report an Error

Example Question #607 : Linear Equations

Solve for :

2x+5=27

Possible Answers:

x=11

x=8

x=-4

x=9

Correct answer:

x=11

Explanation:

2x+5=27

Subtract from both sides of the equation.

2x+5-5=27-5

2x=22

Divide both sides of the equation by .

$\frac{2x}{2}=\frac{22}{2}$

x=11

Report an Error

Example Question #608 : Linear Equations

Solve for :

1-2x=7

Possible Answers:

x=-3

x=-1

x=3

x=4

Correct answer:

x=-3

Explanation:

1-2x=7

Subtract from both sides of the equation.

1-1-2x=7-1

-2x=6

Divide both sides of the equation by .

$\frac{-2x}{-2}=-\frac{6}{2}$

x=-3

Report an Error

Example Question #609 : Linear Equations

Solve for :

-5+3y=19

Possible Answers:

y=0

$y=\frac{14}{3}$

y=8

y=-2

Correct answer:

y=8

Explanation:

-5+3y=19

Add to both sides of the equation.

-5+5+3y=19+5

3y=24

Divide both sides of the equation by .

$\frac{3y}{3}=\frac{24}{3}$

y=8

Report an Error

Example Question #610 : Linear Equations

Solve for :

6z+10=70

Possible Answers:

$z=\frac{40}{3}$

z=13

z=10

z=21

Correct answer:

z=10

Explanation:

6z+10=70

Subtract from both sides of the equation.

6z+10-10=70-10

6z=60

Divide both sides of the equation by .

$\frac{6z}{6}=\frac{60}{6}$

z=10

Report an Error

View Algebra Tutors

Jane
Certified Tutor

University of Pennsylvania, Bachelor in Arts, Ecology and Evolutionary Biology. Arizona State University, Masters in Educatio...

View Algebra Tutors

Shakeel
Certified Tutor

View Algebra Tutors

Celestine
Certified Tutor

University of Ghana, Bachelor of Science, Agricultural Economics. University of Minnesota-Twin Cities, Doctor of Philosophy, ...

All Algebra 1 Resources

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

Popular Subjects

SAT Tutors in Atlanta, ACT Tutors in Dallas Fort Worth, GRE Tutors in Los Angeles, GRE Tutors in Atlanta, Computer Science Tutors in Dallas Fort Worth, Statistics Tutors in San Diego, Reading Tutors in Philadelphia, LSAT Tutors in New York City, English Tutors in Denver, SAT Tutors in Denver

Popular Courses & Classes

LSAT Courses & Classes in Boston, ACT Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Chicago, SAT Courses & Classes in Houston, SSAT Courses & Classes in Denver, SAT Courses & Classes in San Diego, GRE Courses & Classes in Houston, SAT Courses & Classes in Dallas Fort Worth, SAT Courses & Classes in Philadelphia, LSAT Courses & Classes in Denver

Popular Test Prep

GMAT Test Prep in Los Angeles, LSAT Test Prep in Boston, GRE Test Prep in Dallas Fort Worth, SSAT Test Prep in Houston, MCAT Test Prep in Denver, GRE Test Prep in Boston, SSAT Test Prep in Phoenix, GRE Test Prep in Houston, SSAT Test Prep in Washington DC, ISEE Test Prep in Los Angeles

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 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #601 : Algebra 1

Example Question #602 : Algebra 1

Example Question #71 : How To Solve Two Step Equations

Example Question #72 : How To Solve Two Step Equations

Example Question #605 : Linear Equations

Example Question #606 : Linear Equations

Example Question #607 : Linear Equations

Example Question #608 : Linear Equations

Example Question #609 : Linear Equations

Example Question #610 : Linear Equations

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: