Call Now to Set Up Tutoring:

(888) 888-0446

Pre-Algebra : Operations and Properties

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 #5 : Absolute Value

Evaluate:

$\left | -45 + \left (-83 \right ) \right | - 23$

Possible Answers:

105

None of the other responses is correct.

151

Correct answer:

105

Explanation:

$\left | -45 + \left (-83 \right ) \right | - 23$

$= \left | - \left (45+83 \right ) \right | - 23$

$= \left | - 128 \right | - 23$

= 128 - 23

= 105

Report an Error

Example Question #4 : Absolute Value

Solve:

$4+\left | -8-5 \right |=$

Possible Answers:

Correct answer:

Explanation:

$4+\left | -8-5 \right |=4+\left | -13 \right |=4+13=17$

Report an Error

Example Question #7 : Absolute Value

Evaluate for x = 9 :

$| \left | x - 18\right | - x|$

Possible Answers:

Correct answer:

Explanation:

Substitute 9 for and evaluate:

$| \left | x - 18\right | - x|$

$= | \left | 9 - 18\right | - 9|$

$= | \left | - \left (18- 9 \right ) \right | - 9|$

$= | \left | -9 \right | - 9|$

= | 9- 9|

= | 0 |

= 0

Report an Error

Example Question #5 : Absolute Value

Evaluate for x = -6 :

| |20 + x | - 6 -x |

Possible Answers:

Correct answer:

Explanation:

Substitute for and evaluate:

| |20 + x | - 6 -x |

=| |20 + (-6) | - 6 -(-6) |

=| |20 -6 | - 6 -(-6) |

=|14- 6 -(-6) |

=|8 -(-6) |

=|8+6 |

=|14 |

= 14

Report an Error

Example Question #9 : Absolute Value

Solve:

$\left | 3-8\right |=$

Possible Answers:

$\textup{No solution}$

Correct answer:

Explanation:

Explanation:

Step 1: Solve the problem

$\left | 3-8\right |=\left | -5\right |$

Step 2: Solve for the absolute value

$\left | -5\right |=5$

Remember, absolute value refers to the total number of units, so it will always be positive. For instance, if I am $5 in debt, I have -$5, but the absolute value of my debt is $5, because that is the total number of dollars that I'm in debt.

Report an Error

Example Question #5 : Absolute Value

Solve for .

$\left | x\right |=5$

Possible Answers:

$\pm5$

Correct answer:

$\pm5$

Explanation:

When taking absolute values, we need to consider both positive and negative values. So, we have two answers. x=5, x=-5

Report an Error

Example Question #11 : Absolute Value

Solve for .

$\left | x+1\right |=3$

Possible Answers:

2, 3

-4, 2

Correct answer:

-4, 2

Explanation:

When taking absolute values, we need to consider both positive and negative values. So, we have two equations. -(x+1)=3, x+1=3

For the left equation, we can switch the minus sign to the other side to get x+1=-3 . When we subtract on both sides, we get x=-4 .

For the right equation, just subtract on both sides, we get x=2 .

x=2, x=-4

Report an Error

Example Question #12 : Absolute Value

Solve for .

$\left | 4x\right |=12$

Possible Answers:

$\pm3$

Correct answer:

$\pm3$

Explanation:

When taking absolute values, we need to consider both positive and negative values. So, we have two equations. 4x=12, -(4x)=12

For the left equation, when we divide both sides by , x=3 .

For the right equation, we distribute the negative sign to get -4x=12 . When we divide both sides by , x=-3 .

x=3, x=-3

Report an Error

Example Question #13 : Absolute Value

Solve for .

$\left | 2x\right |+5=9$

Possible Answers:

$\pm2$

-2, -4

Correct answer:

$\pm2$

Explanation:

When taking absolute values, we need to consider both positive and negative values. Let's first subtract on both sides. So, we have two equations. 2x=4, -(2x)=4

For the left equation, when we divide both sides by , x=2 .

For the right equation, we distribute the negative sign to get -2x=4 . When we divide both sides by , x=-2 .

x=2, x=-2

Report an Error

Example Question #14 : Absolute Value

Solve for

$16+4x=4+2\left | x\right |$

Possible Answers:

2,6

-2, -6

Correct answer:

Explanation:

When taking absolute values, we need to consider both positive and negative values. So, we have two equations. 16+4x=4+2x, 16+4x=4-2x

For the left equation, we subtract on both sides and subtract on both sides. We now have 12=-2x . When we divide both sides by , x=-6 .

For the right equation, we subtract on both sides and subtract on both sides. We now have 12=-6x . When we divide both sides by , x=-2 .

Let's double check. When we plug in , both sides aren't equal.

$16+4(-6)=4+2\left | -6\right |$

16-24=4+12

$-8\neq16$

But if we plug in -2, we get both sides equal.

$16+4(-2)=4+2\left | -2\right |$

16-8=4+4

8=8

So is the only answer.

Report an Error

View Pre-Algebra Tutors

Abhisek
Certified Tutor

University of Florida, Bachelor of Engineering, Computer Science.

View Pre-Algebra Tutors

Mark
Certified Tutor

University of Massachusetts Amherst, Bachelor of Science, Mathematics. Kansas State University, Master of Science, Mathematics.

View Pre-Algebra Tutors

George
Certified Tutor

Colby College, Bachelors, Economics/Spanish. Massachusetts Institute of Technology, Masters, Urban Studies.

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, ACT Tutors in Washington DC, French Tutors in Miami, Chemistry Tutors in San Francisco-Bay Area, Algebra Tutors in Houston, Algebra Tutors in Seattle, ACT Tutors in San Diego, SSAT Tutors in San Francisco-Bay Area, Calculus Tutors in Dallas Fort Worth, Spanish Tutors in Washington DC

Popular Courses & Classes

LSAT Courses & Classes in Phoenix, Spanish Courses & Classes in Los Angeles, GRE Courses & Classes in Houston, GRE Courses & Classes in Los Angeles, GRE Courses & Classes in Chicago, GRE Courses & Classes in Boston, ISEE Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Seattle, ISEE Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in Washington DC

Popular Test Prep

SSAT Test Prep in Houston, LSAT Test Prep in Boston, GRE Test Prep in Houston, ISEE Test Prep in Seattle, SAT Test Prep in Dallas Fort Worth, SAT Test Prep in Miami, MCAT Test Prep in New York City, GMAT Test Prep in Denver, ACT Test Prep in New York City, SSAT Test Prep in Dallas Fort Worth

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 : Operations and Properties

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #5 : Absolute Value

Example Question #4 : Absolute Value

Example Question #7 : Absolute Value

Example Question #5 : Absolute Value

Example Question #9 : Absolute Value

Example Question #5 : Absolute Value

Example Question #11 : Absolute Value

Example Question #12 : Absolute Value

Example Question #13 : Absolute Value

Example Question #14 : Absolute Value

All Pre-Algebra Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: