We are open Saturday and Sunday!

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 #91 : Linear Equations

Veronica works as a computer programmer who makes $\$120$ per hour. How many hours does she have to work in order to earn $\$1920$ ?

Possible Answers:

Correct answer:

Explanation:

Let be the number of hours Veronica must work.

Since we know that she is paid $\$120$ per hour, we can write the following equation:

120x=1920

To solve for , divide both sides by 120 .

$120x\div120=1920\div120$

x=16

Veronica needs to work for hours to earn $\$1920$ .

Report an Error

Example Question #92 : Linear Equations

After spending $\$45.10$ on groceries, Jimmy has $\$3.66$ remaining. How much money did Jimmy have before buying groceries?

Possible Answers:

$\$45.12$

$\$49.10$

$\$48.76$

$\$41.34$

Correct answer:

$\$48.76$

Explanation:

Let be the amount Jimmy had before buying groceries.

Since we know that he spent $\$45.10$ on groceries, we can write the following equation:

x-45.10=3.66

To solve for , add 45.10 to both sides of the equation.

x-45.10+45.10=3.66+45.10

x=48.76

Jimmy had $\$48.76$ before buying groceries.

Report an Error

Example Question #93 : Linear Equations

Solve for :

3x=-9

Possible Answers:

x=-3

x=-2

x=3

x=2

Correct answer:

x=-3

Explanation:

To solve for , you will need to get on its own. To do so, divide both sides by .

3x=-9

$\frac{3x}{3}=\frac{-9}{3}$

x=-3

Report an Error

Example Question #91 : Algebra 1

Solve for :

$4x=\frac{1}{2}$

Possible Answers:

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

x=2

$x=\frac{1}{8}$

x=8

Correct answer:

$x=\frac{1}{8}$

Explanation:

To solve for , you will need to get on its own. To do so, divide both sides by .

$4x=\frac{1}{2}$

$4x\div4=\frac{1}{2}\div4=\frac{1}{2}\times\frac{1}{4}$

$x=\frac{1}{8}$

Report an Error

Example Question #92 : Algebra 1

Solve for :

$-5x=\frac{1}{3}$

Possible Answers:

x=-15

$x=-\frac{1}{15}$

$x=\frac{5}{3}$

$x=-\frac{3}{5}$

Correct answer:

$x=-\frac{1}{15}$

Explanation:

To solve for , you will need to get on its own. To do so, divide both sides by .

$-5x=\frac{1}{3}$

$-5x\div -5=\frac{1}{3}\div -5=\frac{1}{3}\times-\frac{1}{5}$

$x=-\frac{1}{15}$

Report an Error

Example Question #94 : Linear Equations

Catherine spends more hours practicing basketball every week than Michael does. If Catherine spent hours practicing basketball this week, how many hours did Michael practice baksetball?

Possible Answers:

Correct answer:

Explanation:

Let be the number of hours Michael spends practicing.

We know from the question that Catherine spends more hours practicing. We can then write the following expression to show the number of hours Catherine spends practicing in terms of :

x+4

Since we also know that Catherine spent hours practicing, we can then write the following equation:

x+4=15

To solve for , subtract from both sides.

x+4-4=15-4

x=11

Michael spent hours practicing basketball.

Report an Error

Example Question #95 : Linear Equations

Solve for :

x+9=8

Possible Answers:

x=1

x=-1

x=17

x=8

Correct answer:

x=-1

Explanation:

In order to solve for , subtract from both sides of the equation.

x+9=8

x+9-9=8-9

x=-1

Report an Error

Example Question #96 : Linear Equations

Solve for :

y-6=9

Possible Answers:

y=15

y=3

y=-3

y=-6

Correct answer:

y=15

Explanation:

In order to solve for , you will need to add to both sides of the equation.

y-6=9

y-6+6=9+6

y=15

Report an Error

Example Question #97 : Linear Equations

Solve for :

$y-\frac{1}{2}=-2$

Possible Answers:

$y=-\frac{3}{2}$

$y=-\frac{1}{2}$

y=2

y=-1

Correct answer:

$y=-\frac{3}{2}$

Explanation:

In order to solve for , you will need to add $\frac{1}{2}$ to both sides of the equation.

$y-\frac{1}{2}=-2$

$y-\frac{1}{2}+\frac{1}{2}=-2+\frac{1}{2}$

$y=-\frac{4}{2}+\frac{1}{2}$

$y=-\frac{3}{2}$

Report an Error

Example Question #98 : Linear Equations

Solve for :

y-0.8=1

Possible Answers:

y=1.5

y=-0.2

y=0.4

y=1.8

Correct answer:

y=1.8

Explanation:

In order to solve for , add 0.8 to both sides of the equation.

y-0.8=1

y-0.8+0.8=1+0.8

y=1.8

Report an Error

View Algebra Tutors

Grace
Certified Tutor

University of Massachusetts-Dartmouth, Bachelor of Education, Portuguese. University of Massachusetts-Dartmouth, Masters in B...

View Algebra Tutors

Dalton
Certified Tutor

University of Massachusetts Amherst, Doctor of Philosophy, Mathematics.

View Algebra Tutors

Sekou
Certified Tutor

University of New Haven, Bachelor in Arts, Mathematics.

All Algebra 1 Resources

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

Popular Subjects

Math Tutors in Seattle, ACT Tutors in Los Angeles, LSAT Tutors in Atlanta, French Tutors in San Francisco-Bay Area, Biology Tutors in Chicago, Computer Science Tutors in Dallas Fort Worth, SAT Tutors in Chicago, Statistics Tutors in Houston, Reading Tutors in Atlanta, English Tutors in Boston

Popular Courses & Classes

GMAT Courses & Classes in Dallas Fort Worth, Spanish Courses & Classes in Denver, GRE Courses & Classes in Washington DC, Spanish Courses & Classes in San Diego, GRE Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Los Angeles, Spanish Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in Washington DC, ISEE Courses & Classes in Houston, GRE Courses & Classes in Denver

Popular Test Prep

GMAT Test Prep in Philadelphia, ISEE Test Prep in New York City, LSAT Test Prep in Los Angeles, GMAT Test Prep in Houston, SAT Test Prep in Atlanta, SAT Test Prep in Phoenix, SSAT Test Prep in Seattle, LSAT Test Prep in New York City, MCAT Test Prep in Denver, LSAT Test Prep in Atlanta

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 #91 : Linear Equations

Example Question #92 : Linear Equations

Example Question #93 : Linear Equations

Example Question #91 : Algebra 1

Example Question #92 : Algebra 1

Example Question #94 : Linear Equations

Example Question #95 : Linear Equations

Example Question #96 : Linear Equations

Example Question #97 : Linear Equations

Example Question #98 : Linear Equations

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: