Call Now to Set Up Tutoring:

(888) 888-0446

Pre-Algebra : Two-Step Equations

Study concepts, example questions & explanations for Pre-Algebra

Create An Account

All Pre-Algebra Resources

11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Two Step Equations

Solve for :

4x+3=7

Possible Answers:

Correct answer:

Explanation:

The goal is to isolate the variable to one side.

4x+3=7

Subtract from each side of the equation:

4x+3-3=7-3

4x=4

Divide each side by :

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

x=1

Report an Error

Example Question #2 : Two Step Equations

Solve for :

$6x^{2}=216$

Possible Answers:

$\pm 9$

$\pm 3$

$\pm 6$

Correct answer:

$\pm 6$

Explanation:

The goal is to isolate the variable to one side.

$6x^{2}=216$

Divide each side by :

$\frac{6x^{2}}{6}=\frac{216}{6 }$

$x^{2}= 36$

Take the square root of each side:

$\sqrt{x^2}=\sqrt{36}$

$x=\pm 6$

Report an Error

Example Question #2 : Two Step Equations

Solve for :

$3x^{^{3}}+4=28$

Possible Answers:

Correct answer:

Explanation:

The goal is to isolate the variable to one side.

$3x^{^{3}}+4=28$

Subtract from each side:

$3x^{^{3}}+4-4=28-4$

$3x^{^{3}}=24$

Divide each side by :

$\frac{3x^{^{3}}}{3}=\frac{24}{3}$

x^3=8

Take the cube root of each side:

$\sqrt[3]{x^3}=\sqrt[3]{8}$

x=2

Report an Error

Example Question #3 : Two Step Equations

Solve for :

x^2+20=45

Possible Answers:

$\pm5$

$\pm15$

Correct answer:

$\pm5$

Explanation:

The goal is to isolate the variable to one side.

x^2+20=45

Subtract from each side:

x^2+20-20=45-20

x^2=25

Take the square root of each side:

$\sqrt{x^2}=\sqrt{25}$

$x=\pm5$

Report an Error

Example Question #4 : Two Step Equations With Integers

Solve for .

2x+5=19

Possible Answers:

Correct answer:

Explanation:

Step 1: Subtract from both sides:

2x+5-5=19-5

2x+0=14

2x=14

Step 2: Divide both sides by :

$\frac{2x}{2}= \frac{14}{2}$

x=7

Report an Error

Example Question #1 : Two Step Equations With Integers

4x -3=33

Possible Answers:

Correct answer:

Explanation:

To solve two-step equations, first move everything that does not have the variable over to the other side of the equation. In order to move the -3 to the other side of the equation, you must do the opposite operation (addition). Keep in mind you must do the same step on each side of the equation every time you change something.

4x-3=33

+3=+3

The equation should now look like this:

4x=36

Next, isolate the variable by moving it to the other side of the equation. Do this by doing the opposite operation (division):

$\frac{4x}{4}=\frac{36}{4}=9$

The result should be the following:

x=9

Report an Error

Example Question #3 : Two Step Equations

7x -2 =47

Possible Answers:

Correct answer:

Explanation:

To solve two-step equations, first move everything that does not have the variable over to the other side of the equation. In order to move the -2 to the other side of the equation, you must do the opposite operation (addition). Keep in mind you must do the same step on each side of the equation every time you change something.

7x-2=47

+2=+2

The equation should now look like this:

7x=49

Then, isolate the variable by moving the 7 to the other side of the equation. Do this by doing the opposite operation (division).

$\frac{7x}{7}=\frac{49}{7}=7$

The result should be the following:

x=7

Report an Error

Example Question #2 : Two Step Equations With Integers

15x-38=82

Possible Answers:

Correct answer:

Explanation:

To solve two-step equations, first move everything that does not have the variable over to the other side of the equation. In order to move the -38 to the other side of the equation, you must do the opposite operation (addition). Keep in mind you must do the same step on each side of the equation every time you change something.

15x-38=82

+38=+38

The equation should now look like this:

15x=120

Then, isolate the variable by moving the 15 to the other side of the equation. Do this by doing the opposite operation (division).

$\frac{15x}{15}=\frac{120}{15}=8$

The result should be as follows:

x=8

Report an Error

Example Question #6 : Two Step Equations With Integers

Solve for x:

2x+14=58

Possible Answers:

x=23

x=22

$\frac{x}{2}=\frac{54}{-14}$

2x=44

x=15

Correct answer:

x=22

Explanation:

In order to find x, you need to isolate it. If x isn't alone, you haven't finished solving the problem!

Step 1: subtract 14 from both sides of the equation

2x+14-14=58-14

2x=44

Step 2: divide both sides of the equation by 2

$\frac{2x}{2}=\frac{44}{2}$

x=22

Report an Error

Example Question #7 : Two Step Equations With Integers

Solve for x:

-5x+4=-21

Possible Answers:

x=5

$x=-3\frac{2}5{}$

x=-5

x=-30

x=6

Correct answer:

x=5

Explanation:

Step 1: subtract 4 from both sides

-5x+4=-21

-5x+4-4=-21-4=-25

Step 2: divide both sides by -5 to isolate x

$\frac{-5x}{-5}=\frac{-25}{-5}$

Solve:

$x=\frac{-25}{-5}=5$

x=5

Remember, a negative integer divided by another negative integer will have a positive answer.

Report an Error

View Pre-Algebra Tutors

Joy
Certified Tutor

Boston University, Bachelor in Arts, Conservation Biology.

View Pre-Algebra Tutors

Yongmao
Certified Tutor

Nankai University, Bachelor of Science, Chemistry. Washington University in St Louis, Doctor of Philosophy, Organic Chemistry.

View Pre-Algebra Tutors

Reza
Certified Tutor

University of Sherbrooke, Doctor of Philosophy, Mathematics. University of Manitoba, Master of Science, Mathematics.

All Pre-Algebra Resources

11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

English Tutors in Washington DC, GMAT Tutors in New York City, Chemistry Tutors in Boston, GRE Tutors in Miami, Calculus Tutors in Washington DC, Reading Tutors in Phoenix, Algebra Tutors in New York City, Calculus Tutors in San Diego, French Tutors in Denver, French Tutors in Chicago

Popular Courses & Classes

SSAT Courses & Classes in Washington DC, SAT Courses & Classes in Los Angeles, GMAT Courses & Classes in Atlanta, GRE Courses & Classes in Miami, SAT Courses & Classes in Seattle, LSAT Courses & Classes in Chicago, LSAT Courses & Classes in Atlanta, SAT Courses & Classes in Chicago, GRE Courses & Classes in Los Angeles, GRE Courses & Classes in San Francisco-Bay Area

Popular Test Prep

GMAT Test Prep in San Francisco-Bay Area, GRE Test Prep in New York City, ACT Test Prep in Boston, GRE Test Prep in Miami, SSAT Test Prep in Seattle, SAT Test Prep in Miami, MCAT Test Prep in Washington DC, ISEE Test Prep in New York City, MCAT Test Prep in Los Angeles, ISEE Test Prep in San Francisco-Bay Area

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

Pre-Algebra : Two-Step Equations

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #1 : Two Step Equations

Example Question #2 : Two Step Equations

Example Question #2 : Two Step Equations

Example Question #3 : Two Step Equations

Example Question #4 : Two Step Equations With Integers

Example Question #1 : Two Step Equations With Integers

Example Question #3 : Two Step Equations

Example Question #2 : Two Step Equations With Integers

Example Question #6 : Two Step Equations With Integers

Example Question #7 : Two Step Equations With Integers

All Pre-Algebra Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: