Call Now to Set Up Tutoring:

(888) 888-0446

Pre-Algebra : Absolute Value

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 : Absolute Value

Solve:

$\left | -6+4\right |\times7=$ $\displaystyle \left | -6+4\right |\times7=$

Possible Answers:

$\displaystyle 14$

$\displaystyle -70$

$\displaystyle 70$

$\displaystyle -14$

Correct answer:

$\displaystyle 14$

Explanation:

Report an Error

Example Question #2 : Absolute Value

Solve:

$\left | 7-3\right |=$ $\displaystyle \left | 7-3\right |=$

Possible Answers:

$\displaystyle 4$

$\displaystyle 10$

$\displaystyle 7$

$\displaystyle -10$

$\displaystyle -4$

Correct answer:

$\displaystyle 4$

Explanation:

Step 1: solve the problem

Step 2: solve for absolute value

$\left | 4\right |=4$ $\displaystyle \left | 4\right |=4$

Remember, absolute value refers to the total number of units, so it will always be positive. For instance, if I am $4 in debt, I have -$4, but the absolute value of my debt is $4, because that is the total number of dollars that I'm in debt.

Report an Error

Example Question #3 : Absolute Value

Solve:

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

Possible Answers:

$\small -5$ $\displaystyle \small -5$

$\small 5$ $\displaystyle \small 5$

$\small 11$ $\displaystyle \small 11$

$\small -11$ $\displaystyle \small -11$

Correct answer:

$\small 5$ $\displaystyle \small 5$

Explanation:

First, solve the equation:

Next, account for the absolute value:

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

Therefore, the answer is $\small 5$ $\displaystyle \small 5$ .

Report an Error

Example Question #4 : Absolute Value

Solve the expression below:

$\small \small 19+\left |3*(-6) \right |$ $\displaystyle \small \small 19+\left |3*(-6) \right |$

Possible Answers:

$\small 36$ $\displaystyle \small 36$

$\small -1$ $\displaystyle \small -1$

$\small 1$ $\displaystyle \small 1$

$\small 72$ $\displaystyle \small 72$

$\small 37$ $\displaystyle \small 37$

Correct answer:

$\small 37$ $\displaystyle \small 37$

Explanation:

$\small \small \small 19+\left |3*(-6) \right |$ $\displaystyle \small \small \small 19+\left |3*(-6) \right |$ simplifies to $\small \small \small \small 19+\left |-18 \right |$ $\displaystyle \small \small \small \small 19+\left |-18 \right |$

For absolute value expressions, the value within the bars is treated as positive

So, the expression becomes $\small 19+18$ $\displaystyle \small 19+18$ which adds to $\small 37$ $\displaystyle \small 37$

Report an Error

Example Question #5 : Absolute Value

Evaluate:

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

Possible Answers:

None of the other responses is correct.

$\displaystyle -61$

105 $\displaystyle 105$

151 $\displaystyle 151$

$\displaystyle 15$

Correct answer:

105 $\displaystyle 105$

Explanation:

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

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

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

$\displaystyle = 128 - 23$

= 105 $\displaystyle = 105$

Report an Error

Example Question #4 : Absolute Value

Solve:

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

Possible Answers:

$\displaystyle -9$

$\displaystyle 1$

$\displaystyle 7$

$\displaystyle 17$

Correct answer:

$\displaystyle 17$

Explanation:

Report an Error

Example Question #7 : Absolute Value

Evaluate for x = 9 $\displaystyle x = 9$ :

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

Possible Answers:

$\displaystyle 0$

$\displaystyle 36$

$\displaystyle -18$

$\displaystyle -9$

$\displaystyle 18$

Correct answer:

$\displaystyle 0$

Explanation:

Substitute 9 for $\displaystyle x$ and evaluate:

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

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

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

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

$\displaystyle = | 9- 9|$

= | 0 | $\displaystyle = | 0 |$

= 0 $\displaystyle = 0$

Report an Error

Example Question #5 : Absolute Value

Evaluate for x = -6 $\displaystyle x = -6$ :

$\displaystyle | |20 + x | - 6 -x |$

Possible Answers:

$\displaystyle -2$

$\displaystyle 14$

$\displaystyle 38$

$\displaystyle 2$

$\displaystyle 26$

Correct answer:

$\displaystyle 14$

Explanation:

Substitute $\displaystyle -6$ for $\displaystyle x$ and evaluate:

$\displaystyle | |20 + x | - 6 -x |$

$\displaystyle =| |20 + (-6) | - 6 -(-6) |$

$\displaystyle =| |20 -6 | - 6 -(-6) |$

$\displaystyle =|14- 6 -(-6) |$

$\displaystyle =|8 -(-6) |$

=|8+6 | $\displaystyle =|8+6 |$

=|14 | $\displaystyle =|14 |$

= 14 $\displaystyle = 14$

Report an Error

Example Question #323 : Operations

Solve:

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

Possible Answers:

$\displaystyle 11$

$\displaystyle -11$

$\textup{No solution}$ $\displaystyle \textup{No solution}$

$\displaystyle -5$

$\displaystyle 5$

Correct answer:

$\displaystyle 5$

Explanation:

Explanation:

Step 1: Solve the problem

Step 2: Solve for the absolute value

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

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 #6 : Absolute Value

Solve for $\displaystyle x$ .

$\left | x\right |=5$ $\displaystyle \left | x\right |=5$

Possible Answers:

$\pm5$ $\displaystyle \pm5$

$\displaystyle 0$

$\displaystyle -5$

$\displaystyle 5$

$\displaystyle 2$

Correct answer:

$\pm5$ $\displaystyle \pm5$

Explanation:

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

Report an Error

View Pre-Algebra Tutors

Liban
Certified Tutor

Emory University, Bachelor of Science, Mathematics/Economics.

View Pre-Algebra Tutors

Cassandra
Certified Tutor

Appalachian State University, Bachelor of Science, Chemistry. Appalachian State University, Bachelor of Science, Psychology.

View Pre-Algebra Tutors

Okechukwu
Certified Tutor

University of Maryland-College Park, Bachelor of Science, Economics.

All Pre-Algebra Resources

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

Popular Subjects

GMAT Tutors in San Francisco-Bay Area, Spanish Tutors in Boston, Reading Tutors in Denver, Math Tutors in Miami, GMAT Tutors in Atlanta, Statistics Tutors in Boston, SAT Tutors in Los Angeles, Chemistry Tutors in Los Angeles, ACT Tutors in New York City, Biology Tutors in Los Angeles

Popular Courses & Classes

LSAT Courses & Classes in San Diego, LSAT Courses & Classes in Washington DC, GRE Courses & Classes in Los Angeles, LSAT Courses & Classes in Seattle, ISEE Courses & Classes in Atlanta, MCAT Courses & Classes in Phoenix, SSAT Courses & Classes in Philadelphia, GRE Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in San Diego, GMAT Courses & Classes in Phoenix

Popular Test Prep

ISEE Test Prep in Atlanta, ACT Test Prep in San Diego, SAT Test Prep in Denver, MCAT Test Prep in Washington DC, LSAT Test Prep in Philadelphia, SAT Test Prep in San Francisco-Bay Area, SSAT Test Prep in Los Angeles, SAT Test Prep in Philadelphia, MCAT Test Prep in San Diego, SSAT 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

Pre-Algebra : Absolute Value

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #1 : Absolute Value

Example Question #2 : Absolute Value

Example Question #3 : Absolute Value

Example Question #4 : Absolute Value

Example Question #5 : Absolute Value

Example Question #4 : Absolute Value

Example Question #7 : Absolute Value

Example Question #5 : Absolute Value

Example Question #323 : Operations

Example Question #6 : Absolute Value

All Pre-Algebra Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: