We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

High School Math : How to solve two-step equations with integers in pre-algebra

Study concepts, example questions & explanations for High School Math

Create An Account

All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

← Previous 1 2 3 4 5 6 7 8 9 Next →

Example Question #21 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for if

$\frac{x}{7}-64=-32$

Possible Answers:

x=-198

x=256

x=198

x=224

Correct answer:

x=224

Explanation:

To perform a two step algebra problem with addition and division we must remove the numbers from so it is by itself on one side of the equation.

To do this we first look to see if a number is being added or subtracted from .

In this case a number is being subtracted so we must add the number, , to each side of the equation

$\frac{x}{7}-64+64=-32+64$

Perform the math so our equation becomes

$\frac{x}{7}=32$

Then we multiply each side of the equation by the number that is under to get by itself

$7\cdot \left(\frac{x}{7}\right)=7\cdot (32)$

Perform the math to find the answer x=224

Report an Error

Example Question #22 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for if

4(x-7)=20

Possible Answers:

x=14

x=12

x=13

x=8

Correct answer:

x=12

Explanation:

The problem above is a two-step algebra problem with distribution.

To solve you must first distribute the outside of the parentheses into both of the numbers inside my multiplying 4x-28=20

Then we must get our variable, , by itself.

To do this we must add the number, , to each side of the equation

4x-28+28=20+28

Perform the math so our equation becomes 4x=48 .

Then we divide each side of the equation by the number that is in front of to get by itself

$\frac{4x}{4}=\frac{48}{4}$

Perform the math to find the answer x=12

Report an Error

Example Question #23 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for if

x+8=4x+32

Possible Answers:

x=-8

x=-21

x=3

x=15

Correct answer:

x=-8

Explanation:

When there are variables and numbers on each side of the equation, to solve we must mathematically move the variables onto one side and the numbers onto the other.

To do this we put all of the variables on the right side of the equal sign by subtracting from the right and left side of the equation to have

x-x+8=4x-x+32

When adding or subtracting variables you only add or subtract the numbers in front of the variables. If there is no number the number value is .

Perform the math:

8=3x+32

Then to get all of the integers to the left side we will subtract from the right and left side of the equation to have

8-32=3x+32-32

Perform the math:

-24=3x

At this point we must divide each side of the equation by the number that is in front of to get by itself $\frac{-24}{3}=\frac{3x}{3}$

Perform the math to find the answer $\frac{-24}{3}=x$

The answer is x=-8 .

Report an Error

Example Question #24 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for if

3x+17=41

Possible Answers:

x=7

x=6

x=9

x=8

Correct answer:

x=8

Explanation:

To perform a two-step algebra problem with addition and multiplication we must remove the numbers from so it is by itself on one side of the equation.

To do this we first look to see if a number is being added or subtracted from .

In this case a number is being added so we must subtract the number, , from each side of the equation: 3x+17-17=41-17

Perform the math so that our equation becomes 3x=24 .

Then we divide each side of the equation by the number that is in front of , , to get by itself

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

Perform the math to find the answer x=8

Report an Error

Example Question #21 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for if

$\frac{x}{4}-34=6$

Possible Answers:

x=160

x=144

x=88

x=32

Correct answer:

x=160

Explanation:

To perform a two-step algebra problem with addition and division we must remove the numbers from so it is by itself on one side of the equation.

To do this we first look to see if a number is being added or subtracted from .

In this case a number is being subtracted so we must add the number, , to each side of the equation

$\frac{x}{4}-34+34=6+34$

Perform the math so our equation becomes

$\frac{x}{4}=40$

Then we multiply each side of the equation by the number that is under , , to get by itself $x=4\cdot 40$

Perform the math to find the answer x=160

Report an Error

Example Question #21 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for if

3(x+5)=45

Possible Answers:

x=15

x=10

x=25

x=30

Correct answer:

x=10

Explanation:

The problem above is a two-step algebra problem with distribution.

To solve you must first distribute the outside of the parentheses to both of the numbers inside my multiplying.

Perform the multiplication with and each of the individual numbers to get our new equation, 3x+15=45

Then we must get our variable, , by itself.

We must subtract the number, , from each side of the equation 3x+15-15=45-15

Perform the math so our equation becomes 3x=30 .

Then we divide each side of the equation by the number that is in front of to get by itself

$\frac{3x}{3}=\frac{30}{3}$

Solve to find the answer x=10 .

Report an Error

Example Question #181 : Algebraic Equations

Solve for if

x+78=3x+54

Possible Answers:

x=13

x=15

x=12

x=11

Correct answer:

x=12

Explanation:

When there are variables and numbers on each side of the equation, to solve we must move the variables onto one side and the numbers onto the other.

To do this we put all of the variables on the right side of the equal sign by subtracting from the left and right side of the equation to have x-x+78=3x-x+54

When adding or subtracting variables you only add or subtract the numbers in front of the variables. If there is no number the number value is .

Perform the math: 78=2x+54 .

Then to get all of the integers to the left side we will subtract from the right and left side of the equation to have

78-54=2x+54-54

Perform the math: 24=2x

At this point we must divide each side of the equation by the number that is in front of to get by itself $\frac{24}{2}=\frac{2x}{2}$

Perform the math to find the answer

$\frac{24}{2}=x$

The answer is x=12 .

Report an Error

Example Question #441 : High School Math

Solve for if 12x+237=381 .

Possible Answers:

x=241

x=144

x=12

x=44

Correct answer:

x=12

Explanation:

To perform a two step algebra problem with addition and multiplication, we must remove the constants from so that it is by itself on one side of the equation.

To do this we first look to see if a number is being added or subtracted from .

In this case a number is being added so we must subtract the number, 237 , from each side of the equation: 12x+237-237=381-237

Perform the math to make our equation look like 12x=144 .

Then, we divide each side of the equation by the constant attached to to get by itself: $\frac{12x}{12}=\frac{144}{12}$

The division yields x=12 .

Report an Error

Example Question #442 : High School Math

Solve for if $\frac{x}{11}-10=2$ .

Possible Answers:

x=88

x=132

x=16

x=391

Correct answer:

x=132

Explanation:

To perform a two step algebra problem with addition and division, we must remove the constants from so that it is by itself on one side of the equation.

To do this we first look to see if a number is being added or subtracted from .

In this case a number is being subtracted, so we must add the number, , to each side of the equation: $\frac{x}{11}-10+10=2+10$

Perform the math to see that that our equation looks like $\frac{x}{11}=12$ .

Then we multiply each side of the equation by the constant attached to to get by itself: $\frac{x}{11}(11)=12(11)$

Perform the multiplication to find x=132 .

Report an Error

Example Question #443 : High School Math

Solve for if -8(-x-3)=64 .

Possible Answers:

x=5

x=3

x=4

x=7

Correct answer:

x=5

Explanation:

The problem above is a two-step algebra problem with distribution.

To solve you must first distribute the outside of the parentheses through the numbers inside by multiplying.

Remember, when you distribute a negative, both of the numbers inside the parentheses are being multiplied by a negative number, so they must both flip signs.

Our problem now looks like 8x+24=64 .

Then we must isolate our variable, .

We must subtract the number, , from each side of the equation: 8x+24-24=64-24

Perform the math so that our equation looks like 8x=40 .

Then divide each side of the equation by the constant attached to to get by itself: $\frac{8x}{8}=\frac{40}{8}$

Solve the math to find the answer, x=5 .

Report an Error

← Previous 1 2 3 4 5 6 7 8 9 Next →

View Tutors

Jessica
Certified Tutor

Emporia State University, Bachelor, Spanish. Wichita State University, Master's/Graduate, Spanish.

View Tutors

Sekou
Certified Tutor

University of New Haven, Bachelor in Arts, Mathematics.

View Tutors

Nicole
Certified Tutor

University of Wisconsin-Madison, Bachelor in Arts, Spanish.

All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

MCAT Tutors in Phoenix, Chemistry Tutors in Atlanta, SSAT Tutors in Seattle, Reading Tutors in Chicago, Computer Science Tutors in Washington DC, French Tutors in Boston, Math Tutors in Seattle, LSAT Tutors in New York City, GMAT Tutors in Washington DC, LSAT Tutors in San Francisco-Bay Area

Popular Courses & Classes

SSAT Courses & Classes in Atlanta, ISEE Courses & Classes in Denver, MCAT Courses & Classes in Philadelphia, SAT Courses & Classes in San Diego, SAT Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in Philadelphia, SAT Courses & Classes in Denver, ISEE Courses & Classes in Boston, MCAT Courses & Classes in Chicago, Spanish Courses & Classes in Washington DC

Popular Test Prep

MCAT Test Prep in Houston, LSAT Test Prep in San Francisco-Bay Area, SSAT Test Prep in Denver, GMAT Test Prep in Boston, LSAT Test Prep in Atlanta, SAT Test Prep in Dallas Fort Worth, GRE Test Prep in San Francisco-Bay Area, SSAT Test Prep in Miami, LSAT Test Prep in Denver, SAT 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

High School Math : How to solve two-step equations with integers in pre-algebra

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #21 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #22 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #23 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #24 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #21 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #21 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #181 : Algebraic Equations

Example Question #441 : High School Math

Example Question #442 : High School Math

Example Question #443 : High School Math

All High School Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: