Call Now to Set Up Tutoring:

(888) 888-0446

College Algebra : Linear Equations

Study concepts, example questions & explanations for College Algebra

Create An Account

All College Algebra Resources

5 Diagnostic Tests 84 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Find The Solution To An Equation

Solve for :

8x-5-4x=-x+10

Possible Answers:

Correct answer:

Explanation:

8x-5-4x=-x+10 can be simplified to become

4x-5=-x+10

Then, you can further simplify by adding 5 and to both sides to get 5x=15 .

Then, you can divide both sides by 5 to get x=3 .

Report an Error

Example Question #4 : Systems Of Equations

Solve for :

6x-1=12x+8-3x

Possible Answers:

Correct answer:

Explanation:

To solve for , you must first combine the 's on the right side of the equation. This will give you $\ 6x-1=9x+8$ .

Then, subtract and from both sides of the equation to get -9=3x .

Finally, divide both sides by to get the solution x=-3 .

Report an Error

Example Question #1 : Solving Equations And Inequallities

Solve the following equation for :

2(x + 5) = -4

Possible Answers:

-4.5

Correct answer:

Explanation:

The first step is to distribute (multiply) the 2 through the parentheses:

2(x+5) = -4

2x + 10 = -4

Then isolate on the left side of the equation. Subtract the 10 from the left and right side.

2x + 10 = -4

2x = -14

Finally, to isolate , divide the left side by 2 so that the 2 cancels out. Then divide by 2 on the right side as well.

2x = -14

x = -7

You can verify this answer by plugging the into the original equation.

Report an Error

Example Question #171 : Grade 8

Solve for :

6x-3-4x+5=3(x-1)

Possible Answers:

Correct answer:

Explanation:

Combine like terms on the left side of the equation: 2x+2=3(x-1)

Use the distributive property to simplify the right side of the equation: 2x+2=3x-3

Next, move the 's to one side and the integers to the other side: x=5

Report an Error

Example Question #3 : Solving Equations And Inequallities

Solve for x: 12x-5(x-2)=45

Possible Answers:

x=5

$x=\frac{7}{55}$

x=7

$x=\frac{55}{7}$

x=8

Correct answer:

x=5

Explanation:

12x-5(x-2)=45

Simplify the parenthesis:

12x-5x+10=45

Combine the terms with x's:

7x+10=45

Combine constants:

$7x=35\rightarrow \mathbf{x=5}$

Report an Error

Example Question #4 : Solving Equations And Inequallities

Solve the following equation when y is equal to four.

14y-12x=200

Possible Answers:

x=-14

x=12

x=144

x=-12

Correct answer:

x=-12

Explanation:

Solve the following equation when y is equal to four.

14y-12x=200

To solve this equation, we need to plug in 4 for y and solve.

14(4)-12x=200

56-12x=200

-12x=144

x=-12

Report an Error

Example Question #2 : Solving Equations And Inequallities

Solve the following:

3x-7=2

Possible Answers:

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

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

x=3

x=-3

Correct answer:

x=3

Explanation:

To solve, we must isolate x. In order to do that, we must first add 7 to both sides.

3x-7+7=2+7

3x=9

Next, we must divide both sides by 3.

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

x=3

Report an Error

Example Question #4 : Solving Equations And Inequallities

Write an equation of the line passing through (5,10) and (10,2).

Possible Answers:

$y= \frac{8}{5}x+18$

$y=\frac{5}{8}x+9$

$y=\frac{8}{5}x-18$

None of these.

$y= -\frac{8}{5}x+18$

Correct answer:

$y= -\frac{8}{5}x+18$

Explanation:

To find this line, first find the slope (m) between the two coordinate points. Then use the point-slope formula to find a line with that same slope passing through a particular point.

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}= \frac{2-10}{10-5}=-\frac{8}{5}$

$y-y_{1}=m(x-x_{1})$

$y-10=-\frac{8}{5}(x-5) \rightarrow y-10=-\frac{8}{5}x+8 \rightarrow \boldsymbol{y=-\frac{8}{5}x+18}$

Report an Error

Example Question #11 : Solving Equations And Inequallities

Solve for .

7(x-2)+10=8(x+1)

Possible Answers:

x=1

x=2

x=-12

x=4

x=12

Correct answer:

x=-12

Explanation:

First distribute out each side of the equation.

7(x-2)+10 simplifies to 7x-4 .

Now for the right hand side,

8(x+1) becomes 8x+8 .

Now we equate both sides.

7x-4 =8x+8 ,

x=-12

Report an Error

Example Question #12 : Solving Equations And Inequallities

Solve for .

3(x+2-2x)+5x=x+6

Possible Answers:

x=4

x=2

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

x=0

x=-12

Correct answer:

x=0

Explanation:

First, we need to simplify what's inside the parentheses.

x+2-2x=2-x

Now we continue to evaluate the left hand side.

3(2-x)+5x=2x+6

The right hand side does not need any reduction.

We set the two sides equal to each other.

2x+6=x+6

x=0

Report an Error

View College Algebra Tutors

James
Certified Tutor

St. Mary of the Plains College, Bachelors, Mathematics. Baker University, Masters, Business Administration and Management.

View College Algebra Tutors

Anne
Certified Tutor

University of Maryland-Baltimore, Doctor of Science, Accounting.

View College Algebra Tutors

Satweka
Certified Tutor

The University of Texas at Dallas, Master of Science, Biomedical Engineering.

All College Algebra Resources

5 Diagnostic Tests 84 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Computer Science Tutors in Miami, Statistics Tutors in Philadelphia, English Tutors in San Francisco-Bay Area, Spanish Tutors in Miami, MCAT Tutors in Miami, GRE Tutors in Seattle, ACT Tutors in San Diego, Reading Tutors in Phoenix, French Tutors in Miami, ACT Tutors in Phoenix

Popular Courses & Classes

SAT Courses & Classes in Houston, SSAT Courses & Classes in Seattle, MCAT Courses & Classes in Los Angeles, Spanish Courses & Classes in Atlanta, ISEE Courses & Classes in Philadelphia, SSAT Courses & Classes in Philadelphia, GRE Courses & Classes in Boston, Spanish Courses & Classes in San Francisco-Bay Area, ACT Courses & Classes in San Diego, MCAT Courses & Classes in Philadelphia

Popular Test Prep

ACT Test Prep in San Diego, MCAT Test Prep in Philadelphia, ISEE Test Prep in Seattle, MCAT Test Prep in Houston, ISEE Test Prep in San Francisco-Bay Area, GRE Test Prep in Philadelphia, GRE Test Prep in Houston, SAT Test Prep in Seattle, SSAT Test Prep in New York City, MCAT Test Prep in Seattle

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

College Algebra : Linear Equations

Study concepts, example questions & explanations for College Algebra

All College Algebra Resources

Example Questions

Example Question #1 : How To Find The Solution To An Equation

Example Question #4 : Systems Of Equations

Example Question #1 : Solving Equations And Inequallities

Example Question #171 : Grade 8

Example Question #3 : Solving Equations And Inequallities

Example Question #4 : Solving Equations And Inequallities

Example Question #2 : Solving Equations And Inequallities

Example Question #4 : Solving Equations And Inequallities

Example Question #11 : Solving Equations And Inequallities

Example Question #12 : Solving Equations And Inequallities

All College Algebra Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: