We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : Systems of 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 #11 : Linear / Rational / Variable Equations

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 #11 : How To Find The Solution To An Equation

Solve for :

a+bx=d

Possible Answers:

$\frac{b}{a-d}$

$\frac{d-a}{b}$

$\frac{a-d}{b}$

$\frac{b}{d-a}$

None of the other answers

Correct answer:

$\frac{d-a}{b}$

Explanation:

To solve for , isolate it from the other variables. First, subtract from both sides to get

bx=d-a .

Then, divide both sides by to get

$x=\frac{d-a}{b}$

Report an Error

Example Question #12 : How To Find The Solution To An Equation

Solve for :

$\frac{x}{a}-b=c$

Possible Answers:

a(c-b)

$\frac{(c+b)}{a}$

a(c+b)

$\frac{(c-b)}{a}$

ac+b

Correct answer:

a(c+b)

Explanation:

To solve for , add to both sides to get

$\frac{x}{a}=c+b$

Then, multiply both sides by to get

x=a(c+b)

Report an Error

Example Question #12 : Linear / Rational / Variable Equations

Solve for :

9x-2-2x=2x+18

Possible Answers:

Correct answer:

Explanation:

First, combine like terms within the equation to get

7x-2=2x+18 .

Then, add and subtract from both sides to get

5x=20 .

Finally, divide both sides by to get the solution of x=4 .

Report an Error

Example Question #11 : How To Find The Solution To An Equation

Solve for :

2x+4=3(x-1)

Possible Answers:

Correct answer:

Explanation:

First, use the distributive property to simplify the right side of the equation. This gives you

2x+4=3x-3

Then, subtract and add to both sides of the equation to get x=7 .

Report an Error

Example Question #14 : How To Find The Solution To An Equation

Solve for :

8x-2=2(x+2)

Possible Answers:

Correct answer:

Explanation:

First, use the distributive property to simplify the right side of the equation:

8x-2=2x+4

Then, add and subtract from both sides to get

6x=6

Finally, divide both sides by to get x=1 .

Report an Error

Example Question #11 : How To Find The Solution To An Equation

Solve for , given the equation below.

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

Possible Answers:

$-2,\; 4$

$2,\; 4$

No solutions

$4,\; 4$

$-2,\; 2$

Correct answer:

$-2,\; 2$

Explanation:

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

Begin by cross-multiplying.

x(x+2) = (x-1)(2x +4)

Distribute the on the left side and expand the polynomial on the right.

x^2+2x=2x^2+4x-2x-4

Combine like terms and rearrange to set the equation equal to zero.

x^2-2x=2x^2+2x-4

0=x^2-4

Now we can isolate and solve for by adding to both sides.

x^2=4

x=2, -2

Report an Error

Example Question #14 : How To Find The Solution To An Equation

Simplify the result of the following steps, to be completed in order:

1. Add to

2. Multiply the sum by

3. Add to the product

4. Subtract from the sum

Possible Answers:

29x + 13y

28x + 12y

28x + 13y

28x -13y

28x + 11y

Correct answer:

28x + 13y

Explanation:

Step 1: 7x + 3y

Step 2: 4 * (7x + 3y) = 28x + 12y

Step 3: 28x + 12y + x = 29x + 12y

Step 4: 29x + 12y – (x – y) = 29x + 12y – x + y = 28x + 13y

Report an Error

Example Question #12 : How To Find The Solution To An Equation

2x + 6y = 44

What is x + 3y + 33 ?

Possible Answers:

The answer cannot be determined.

Correct answer:

Explanation:

The key to solving this question is noticing that we can factor out a 2:

2x + 6y = 44 is the same as 2(x + 3y) = 44.

Therefore, x + 3y = 22.

In this case, x + 3y + 33 is the same as 22 + 33, or 55.

Report an Error

Example Question #11 : Systems Of Equations

Solve for .

5x+15=10y

5y+x=18

Possible Answers:

x=3

Cannot be determined

x=5

y=3

x=15

Correct answer:

x=3

Explanation:

Subtract x from both sides of the second equation.

5y+x=18

5y=18-x

Divide both sides by to get $y=\frac{18-x}{5}$ .

Plug in y to the other equation.

5x+15=10y

$5x+15= 10*\frac{18-x}{5}$

Divide 10 by 5 to eliminate the fraction, yielding 5x+15=2(18-x) .

Distribute the 2 to get 5x+15=36-2x .

Add to each side, and subtract 15 from each side to get 7x=21 .

Divide both sides by 7 to get $\frac{x}{7}=\frac{21}{7}$ , which simplifies to x=3 .

Report an Error

View Algebra Tutors

Dejuan
Certified Tutor

University of Illinois at Urbana-Champaign, Bachelor of Science, Electrical Engineering.

View Algebra Tutors

Yucheng
Certified Tutor

The University of Texas at Austin, Bachelor of Science, Mechanical Engineering.

View Algebra Tutors

Dilip
Certified Tutor

University of Calcutta, Bachelor of Science, Physics. Indiana Institute of Technology, Master of Science, Physics.

All Algebra 1 Resources

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

Popular Subjects

LSAT Tutors in San Diego, Biology Tutors in San Diego, MCAT Tutors in Chicago, MCAT Tutors in Boston, Chemistry Tutors in Dallas Fort Worth, SSAT Tutors in Phoenix, GMAT Tutors in Dallas Fort Worth, Physics Tutors in Seattle, ACT Tutors in Seattle, Statistics Tutors in Chicago

Popular Courses & Classes

ISEE Courses & Classes in Denver, LSAT Courses & Classes in Atlanta, ACT Courses & Classes in Philadelphia, ISEE Courses & Classes in Philadelphia, ISEE Courses & Classes in Phoenix, Spanish Courses & Classes in New York City, SSAT Courses & Classes in Houston, MCAT Courses & Classes in Denver, SSAT Courses & Classes in Washington DC, MCAT Courses & Classes in Dallas Fort Worth

Popular Test Prep

ISEE Test Prep in Dallas Fort Worth, MCAT Test Prep in Miami, MCAT Test Prep in New York City, MCAT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Philadelphia, MCAT Test Prep in Denver, MCAT Test Prep in Chicago, ISEE Test Prep in Houston, GMAT Test Prep in Seattle, SAT Test Prep in Houston

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 : Systems of Equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #11 : Linear / Rational / Variable Equations

Example Question #11 : How To Find The Solution To An Equation

Example Question #12 : How To Find The Solution To An Equation

Example Question #12 : Linear / Rational / Variable Equations

Example Question #11 : How To Find The Solution To An Equation

Example Question #14 : How To Find The Solution To An Equation

Example Question #11 : How To Find The Solution To An Equation

Example Question #14 : How To Find The Solution To An Equation

Example Question #12 : How To Find The Solution To An Equation

Example Question #11 : Systems Of Equations

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: