We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: 6th Grade Math : Grade 6

Study concepts, example questions & explanations for Common Core: 6th Grade Math

Create An Account

All Common Core: 6th Grade Math Resources

6 Diagnostic Tests 186 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #721 : Grade 6

Solve: 12x = 1224

Possible Answers:

120

102

112

202

Correct answer:

102

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Divide both sides by twelve.

$\frac{12}{12}x = \frac{1224}{12}$

From here, factor the numerator to further simplify.

$x=\frac{1224}{12}=\frac{12\cdot 102}{12}$

The twelve in the numerator and the denominator cancel out and we arrive at the final solution.

x=102

Report an Error

Example Question #722 : Grade 6

Solve: 3+x = 103

Possible Answers:

100

103

106

Correct answer:

100

Explanation:

Subtract from both sides of the equation.

3+x-3 = 103-3

x=100

Report an Error

Example Question #723 : Grade 6

Solve: 7x = 91

Possible Answers:

Correct answer:

Explanation:

Divide by seven on both sides of the equation.

$\frac{7x}{7} =\frac{ 91}{7}$

x=13

Report an Error

Example Question #46 : One Step Equations With Integers

Solve the equation:

2+x = 88

Possible Answers:

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To solve for . subtract two from both sides of the equation.

2+x -2= 88-2

x=86

Report an Error

Example Question #231 : Algebraic Equations

Solve:

9x= 24

Possible Answers:

$\frac{3}{8}$

$\frac{8}{3}$

$\frac{1}{13}$

Correct answer:

$\frac{8}{3}$

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Divide nine on both sides and reduce the fraction.

$\frac{9x}{9}= \frac{24}{9}$

From here, factor the numerator and denominator to find values that can cancel.

$\frac{24}{9}=\frac{3\cdot 8}{3\cdot 3}$

Since there is a three in both the numerator and denominator it reduces to one and we are left with the final answer of,

$x=\frac{8}{3}$ .

Report an Error

Example Question #45 : One Step Equations With Integers

Solve: x+19 = -19

Possible Answers:

Correct answer:

Explanation:

To solve for , simply subtract 19 from both side of the equation to isolate .

x+19 -19= -19-19

x=-38

Report an Error

Example Question #49 : One Step Equations With Integers

Solve for the unknown variable:

13x = 13013

Possible Answers:

110

1010

1011

1001

101

Correct answer:

1001

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Divide both sides by 13 to isolate the variable.

$\frac{13x }{13}= \frac{13013}{13}$

Now factor the numerator to find values that can cancel out.

$\frac{13013}{13}=\frac{13\cdot 1001}{13}$

The 13 in the numerator and denominator reduces to one and we are left with,

x=1001 .

Report an Error

Example Question #232 : Algebraic Equations

Solve: 4 x= -64

Possible Answers:

$-\frac{1}{4}$

Correct answer:

Explanation:

To solve, divide both sides by .

$\frac{4 x}{4}= \frac{-64}{4}$

$x=-\frac{64}{4} = -16$

Report an Error

Example Question #51 : One Step Equations With Integers

Solve: 4x = -44

Possible Answers:

Correct answer:

Explanation:

To solve this, divide both sides by four.

$\frac{4x}{4} = \frac{-44}{4}$

The numerator of the fraction can be split into common factors.

$\frac{-44}{4} = \frac{-11\times 4} {4}$

Eliminate the in the numerator and denominator.

The answer is: x=-11

Report an Error

Example Question #51 : One Step Equations

Solve: $x\div 6 = -30$

Possible Answers:

$-\frac{1}{5}$

$-\frac{1}{180}$

Correct answer:

Explanation:

Rewrite the equation.

$\frac{x}{6}=-30$

To isolate , multiply both sides by 6.

$\frac{x}{6}\times 6=-30\times 6$

The integer and the denominator are eliminated on the left side of the equation. Multiply the right side.

The answer is: x=-180

Report an Error

View Tutors

Amanda
Certified Tutor

Seattle University, Current Undergrad Student, Applied Mathematics.

View Tutors

Rainier
Certified Tutor

Norfolk State University, Bachelors, Physics.

View Tutors

Sarah
Certified Tutor

New York University, Bachelor of Fine Arts, Drama.

All Common Core: 6th Grade Math Resources

6 Diagnostic Tests 186 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

ACT Tutors in Chicago, French Tutors in Seattle, SAT Tutors in New York City, French Tutors in Philadelphia, Statistics Tutors in Denver, Algebra Tutors in Seattle, Biology Tutors in Denver, English Tutors in Denver, MCAT Tutors in Dallas Fort Worth, GRE Tutors in New York City

Popular Courses & Classes

Spanish Courses & Classes in Denver, LSAT Courses & Classes in Boston, LSAT Courses & Classes in San Diego, SAT Courses & Classes in Houston, MCAT Courses & Classes in Phoenix, GMAT Courses & Classes in Seattle, Spanish Courses & Classes in Philadelphia, SAT Courses & Classes in Seattle, GRE Courses & Classes in San Francisco-Bay Area, LSAT Courses & Classes in Denver

Popular Test Prep

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

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

Common Core: 6th Grade Math : Grade 6

Study concepts, example questions & explanations for Common Core: 6th Grade Math

All Common Core: 6th Grade Math Resources

Example Questions

Example Question #721 : Grade 6

Example Question #722 : Grade 6

Example Question #723 : Grade 6

Example Question #46 : One Step Equations With Integers

Example Question #231 : Algebraic Equations

Example Question #45 : One Step Equations With Integers

Example Question #49 : One Step Equations With Integers

Example Question #232 : Algebraic Equations

Example Question #51 : One Step Equations With Integers

Example Question #51 : One Step Equations

All Common Core: 6th Grade Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: