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 #101 : Order Of Operations

Solve:

$6-4+4\cdot7\div2$

Possible Answers:

Correct answer:

Explanation:

To complete a problem with order of operations, follow the acronym PEMDAS to remember the order of completion. PEMDAS stands for:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

For this problem, we do the multiplication/division before addition/subtraction to get our final answer of 16:

$6-4+4\cdot7\div2$

$6-4+28\div2$

6-4+14

2+14=16

Report an Error

Example Question #102 : Operations

Solve:

$26-14+(2^{3}+6-12)$

Possible Answers:

Correct answer:

Explanation:

To complete a problem with order of operations, follow the acronym PEMDAS to remember the order of completion. PEMDAS stands for:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

For this problem, we do the parentheses first. Inside the parentheses solve the exponent before doing addition and subtraction. Once the parentheses are solved complete the addition and subtraction to get a final answer of 14:

$26-14+(2^{3}+6-12)$

26-14+(8+6-12)

26-14+(14-12)

26-14+2

12+2=14

Report an Error

Example Question #103 : Operations

Solve:

$3^{2}-4+5^{2}+2-15$

Possible Answers:

Correct answer:

Explanation:

To complete a problem with order of operations, follow the acronym PEMDAS to remember the order of completion. PEMDAS stands for:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

For this problem, we solve the exponents before doing addition and subtraction to get a final answer of 17:

$3^{2}-4+5^{2}+2-15$

9-4+25+2-15

5+25+2-15

30+2-15

32-15=17

Report an Error

Example Question #101 : Operations

Solve:

$12-5+6\cdot4$

Possible Answers:

Correct answer:

Explanation:

To complete a problem with order of operations, follow the acronym PEMDAS to remember the order of completion. PEMDAS stands for:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

For this problem, we do the multiplication before addition/subtraction to get our final answer of 31:

$12-5+6\cdot4$

12-5+24

7+24=31

Report an Error

Example Question #105 : Operations

Solve:

$3\cdot2+7-4+4\cdot9$

Possible Answers:

Correct answer:

Explanation:

To complete a problem with order of operations, follow the acronym PEMDAS to remember the order of completion. PEMDAS stands for:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

For this problem, we do the multiplicationbefore addition/subtraction to get our final answer of 45:

$3\cdot2+7-4+4\cdot9$

$6+7-4+4\cdot9$

6+7-4+36

13-4+36

9+36=45

Report an Error

Example Question #106 : Operations

Solve:

$4^{2}+3^{2}-5^{2}+3$

Possible Answers:

Correct answer:

Explanation:

To complete a problem with order of operations, follow the acronym PEMDAS to remember the order of completion. PEMDAS stands for:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

For this problem, we solve the exponents before completing addition/subtraction to get our final answer of 3:

$4^{2}+3^{2}-5^{2}+3$

16+9-25+3

25-25+3

0+3=3

Report an Error

Example Question #107 : Operations

Solve:

$12-2\cdot6+4\cdot5-6$

Possible Answers:

Correct answer:

Explanation:

To complete a problem with order of operations, follow the acronym PEMDAS to remember the order of completion. PEMDAS stands for:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

For this problem, we do the multiplication before addition/subtraction to get our final answer of 48:

$12-2\cdot6+4\cdot5-6$

$12-12+4\cdot5-6$

12-12+20-6

0+20-6

20-6=14

Report an Error

Example Question #108 : Operations

Solve:

$2\cdot6-4\div2+5$

Possible Answers:

Correct answer:

Explanation:

To complete a problem with order of operations, follow the acronym PEMDAS to remember the order of completion. PEMDAS stands for:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

For this problem, we do the multiplication and division before addition and subtraction to get our final answer of 15:

$2\cdot6-4\div2+5$

$12-4\div2+5$

12-2+5

10+5=15

Report an Error

Example Question #109 : Operations

Solve:

$25+2\cdot6+(7-2\cdot 3)$

Possible Answers:

Correct answer:

Explanation:

To complete a problem with order of operations, follow the acronym PEMDAS to remember the order of completion. PEMDAS stands for:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

For this problem, we do the math inside the parentheses, then multiplication before addition to get our final answer of 38:

$25+2\cdot6+(7-2\cdot 3)$

$25+2\cdot6+(7-6)$

$25+2\cdot6+1$

25+12+1=38

Report an Error

Example Question #110 : Operations

Solve:

$17-2+(6\cdot (2+3))-4^{2}$

Possible Answers:

Correct answer:

Explanation:

To complete a problem with order of operations, follow the acronym PEMDAS to remember the order of completion. PEMDAS stands for:

Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

For this problem, we solve the parentheses before anything else. Since there are two sets of them, solve the innermost set of parentheses first. After completing the parentheses, solve the exponents before doing the addition and subtraction to get our final answer of 29:

$17-2+(6\cdot (2+3))-4^{2}$

$17-2+(6\cdot 5)-4^{2}$

$17-2+30-4^{2}$

17-2+30-16

15+30-16

45-16=29

Report an Error

View Pre-Algebra Tutors

Glen
Certified Tutor

Gonzaga University, Bachelor of Science, Computer Science. Bowling Green State University-Main Campus, Master of Science, Com...

View Pre-Algebra Tutors

Lisa
Certified Tutor

University of Toronto, Bachelor of Science, Psychology. University of Tornoto, Bachelor in Arts, Anthropology.

View Pre-Algebra Tutors

Andrew
Certified Tutor

University of Wisconsin-Stevens Point, Bachelor of Science, Mathematics. University of Wisconsin-Oshkosh, Master of Science, ...

All Pre-Algebra Resources

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

Popular Subjects

Chemistry Tutors in San Francisco-Bay Area, Physics Tutors in Philadelphia, SAT Tutors in Denver, Math Tutors in Houston, Math Tutors in Washington DC, Physics Tutors in Chicago, Computer Science Tutors in Chicago, Spanish Tutors in Philadelphia, French Tutors in Houston, Computer Science Tutors in Miami

Popular Courses & Classes

Spanish Courses & Classes in Washington DC, GRE Courses & Classes in Chicago, SAT Courses & Classes in Atlanta, GRE Courses & Classes in Denver, SSAT Courses & Classes in Boston, LSAT Courses & Classes in Philadelphia, LSAT Courses & Classes in Seattle, GRE Courses & Classes in Miami, SAT Courses & Classes in Los Angeles, MCAT Courses & Classes in Boston

Popular Test Prep

ISEE Test Prep in San Francisco-Bay Area, SAT Test Prep in Phoenix, LSAT Test Prep in Phoenix, LSAT Test Prep in New York City, GRE Test Prep in Boston, SAT Test Prep in Washington DC, SSAT Test Prep in Dallas Fort Worth, MCAT Test Prep in Seattle, GRE Test Prep in Miami, GRE Test Prep in Denver

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 #101 : Order Of Operations

Example Question #102 : Operations

Example Question #103 : Operations

Example Question #101 : Operations

Example Question #105 : Operations

Example Question #106 : Operations

Example Question #107 : Operations

Example Question #108 : Operations

Example Question #109 : Operations

Example Question #110 : Operations

All Pre-Algebra Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: