We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : How to solve two-step 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 : How To Solve Two Step Equations

Solve for the value of .

3x + 4 = 13

Possible Answers:

$x = -\frac{17}{3}$

x = 9

$x = \frac{17}{3}$

x = -3

x = 3

Correct answer:

x = 3

Explanation:

For the equation 3x + 4 = 13 , a set of two operations can be used to determine the value of .

First, subtract from both sides of the equation to isolate the variable with its coefficient.

3x + 4 = 13

(3x +4 ) - 4 = (13) - 4

3x = 9

Second, divide both sides of the equation by the coefficient to isolate the variable and its value.

3x = 9

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

x = 3

The value of is .

Report an Error

Example Question #12 : How To Solve Two Step Equations

Solve this equation:

8a - 5 + 2(a+1) = -3(a + 6)

Possible Answers:

$a = -\frac{13}{15}$

$a = \frac{10}{13}$

$a = \frac{13}{15}$

$a =- \frac{15}{13}$

$a = \frac{15}{13}$

Correct answer:

$a =- \frac{15}{13}$

Explanation:

8a - 5 + 2(a+1) = -3(a + 6)

Begin by multiplying out all of the terms by the distributive property:

8a - 5 + 2a + 2 = -3a -18

Then, combine like terms on both sides of the equation:

10a -3 = -3a -18

Add to both sides of the equation:

10a + 3a -3 = -3a + 3a -18 , or

13a -3 = -18

Add 3 to both sides:

13a -3 +3 = -18 + 3 , or

13a = -15

Finally, divide both sides by 13 to give the final answer:

$a =- \frac{15}{13}$

Report an Error

Example Question #544 : Linear Equations

Solve for in the equation below.

$2(x+3) - 4 = \; 3(x-2) +3$

Possible Answers:

Correct answer:

Explanation:

$2(x+3) - 4 = \; 3(x-2) +3$

Use the distributive property to eliminate the parantheses.

(2x)+(2*3)-4=(3x)-(3*2)+3

2x+6-4=3x-6+3

Combine like terms.

2x + 2 = 3x - 3

Now we need to isolate . We can add to both sides of the equation, then subtract from both sides.

2x+2+3=3x-3+3

2x+5=3x

2x+5-2x=3x-2x

5=x

Report an Error

Example Question #12 : How To Solve Two Step Equations

Solve for :

3x-1=6x+7-x

Possible Answers:

Correct answer:

Explanation:

3x-1=6x+7-x can be simplified into 3x-1=5x+7 . If you move the 's to one side and the integers to the other, you will end up with -2x=8 . Divide both sides by , and you get x=-4 .

Report an Error

Example Question #546 : Linear Equations

Solve for :

6x-3-2x=2x+1

Possible Answers:

Correct answer:

Explanation:

6x-3-2x=2x+1

can be simplified to

4x-3=2x+1 .

Next, you move the 's to one side and the integers to the other side (i.e. subtract from both sides and add 3 to both sides).

This gives you

2x=4

which lets you come to

x=2 .

Report an Error

Example Question #547 : Linear Equations

$Solve\; for\; y \; in \; the\; equation,\frac{3y}{2}-\frac{3}{2}=0$

Possible Answers:

$\frac{2}{3}$

Correct answer:

Explanation:

Report an Error

Example Question #548 : Linear Equations

Solve for :

2(2x-3)=10x-3(x+1)

Possible Answers:

Correct answer:

Explanation:

First, use the distributive property on 2(2x-3)=10x-3(x+1) to get 4x-6=10x-3x-3 . Next, combine the 's on the right side of the equation to get 4x-6=7x-3 . Then, add 3 and subtract from both sides to separate the 's and integers: -3=3x . Finally, divide both sides by 3 to get the solution of x=-1 .

Report an Error

Example Question #549 : Linear Equations

Solve for :

4 (x +4) + 9 = 5 (x + 5) - x

Possible Answers:

There is no solution.

can be any real number.

x=1

x = 25

x=0

Correct answer:

can be any real number.

Explanation:

4 (x +4) + 9 = 5 (x + 5) - x

$4 \cdot x +4 \cdot 4 + 9 = 5 \cdot x + 5 \cdot 5 - x$

4 x +16 + 9 = 5x + 25 - x

4 x + 25 = 4x + 25

This identically true statement is an indication that the solution set is the set of all real numbers.

Report an Error

Example Question #551 : Linear Equations

Solve for :

4 (x +7) + 2 = 5 (x + 4) - x

Possible Answers:

There is no solution.

x = 1

x = 0

can be any real number.

x = 10

Correct answer:

There is no solution.

Explanation:

4 (x +7) + 2 = 5 (x + 4) - x

$4 \cdot x +4 \cdot 7 + 2 = 5 \cdot x + 5 \cdot 4 - x$

4 x +28+ 2 = 5x + 20- x

4 x +30 = 4x + 20

30 = 20

This identically false statement is an indication that there is no solution.

Report an Error

Example Question #13 : How To Solve Two Step Equations

Solve for :

4 (x +9) + 9 = 5 (x + 9) - x

Possible Answers:

There is no solution.

x=45

x=1

can be any real number.

x=0

Correct answer:

can be any real number.

Explanation:

4 (x +9) + 9 = 5 (x + 9) - x

$4 \cdot x +4 \cdot 9 + 9 = 5 \cdot x + 5 \cdot 9 - x$

4 x +36 + 9 = 5x + 45 - x

4 x + 45 = 4x + 45

This identically true statement is an indication that the solution set is the set of all real numbers.

Report an Error

View Algebra Tutors

Dossevi
Certified Tutor

cole Ste Genevive Versailles, Bachelor of Science, Mathematics. Institut National Polytechnique de Grenoble, Master of Scienc...

View Algebra Tutors

Keith
Certified Tutor

Xavier University, Bachelor in Business Administration, Accounting. Ohio University-Main Campus, Masters in Education, Mathem...

View Algebra Tutors

Blossom
Certified Tutor

University of Maryland-Baltimore County, Bachelor of Science, Computer Science.

All Algebra 1 Resources

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

Popular Subjects

ACT Tutors in Seattle, French Tutors in Washington DC, SSAT Tutors in Houston, GMAT Tutors in San Diego, Chemistry Tutors in Seattle, Computer Science Tutors in Atlanta, MCAT Tutors in Los Angeles, ISEE Tutors in San Francisco-Bay Area, LSAT Tutors in Dallas Fort Worth, Math Tutors in Chicago

Popular Courses & Classes

SSAT Courses & Classes in Los Angeles, ACT Courses & Classes in Los Angeles, SSAT Courses & Classes in Chicago, MCAT Courses & Classes in Miami, GMAT Courses & Classes in Philadelphia, Spanish Courses & Classes in Houston, SSAT Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in New York City, GMAT Courses & Classes in Boston, SAT Courses & Classes in New York City

Popular Test Prep

GRE Test Prep in Houston, ACT Test Prep in Miami, ACT Test Prep in Los Angeles, GRE Test Prep in Philadelphia, SSAT Test Prep in San Diego, GMAT Test Prep in Philadelphia, SSAT Test Prep in Dallas Fort Worth, LSAT Test Prep in Philadelphia, GMAT Test Prep in Chicago, ACT 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 : How to solve two-step equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #11 : How To Solve Two Step Equations

Example Question #12 : How To Solve Two Step Equations

Example Question #544 : Linear Equations

Example Question #12 : How To Solve Two Step Equations

Example Question #546 : Linear Equations

Example Question #547 : Linear Equations

Example Question #548 : Linear Equations

Example Question #549 : Linear Equations

Example Question #551 : Linear Equations

Example Question #13 : How To Solve Two Step Equations

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: