Call Now to Set Up Tutoring:

(888) 888-0446

Pre-Algebra : Operations

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 #97 : Operations & Algebraic Thinking

Select the equation that reflects the phrase below.

First subtract and , then multiply by .

Possible Answers:

$20-(5\times7)$

$(20+5)\times7$

$(20-5)\div7$

$(20-5)\times7$

$20-5\times7$

Correct answer:

$(20-5)\times7$

Explanation:

Because we want to subtract and first, we need to set that off into parentheses due to the order of operation rules. Then we can do the multiplication of .

Report an Error

Example Question #81 : Operations

Simplify the following expression:

$6*2^{2}+6(2+3)-1$

Possible Answers:

203 Fol

198

173

Correct answer:

Explanation:

Follow the rules of order of operations. An easy way to remember them is to remember PEMDAS.

P - parenthesis

E - exponents

M/D - multiplication and division, done in order from left to right

A/S - addition and subtraction, done in order from left to right

By following this, we first evaluate what's in the parenthesis:

$6*2^{2}+6(5)-1$

Next we evaluate the exponent:

6(4)+6(5)-1

Now we multiply from left to right:

24+30-1

Lastly, we add and subtract from left to right:

54-1=53

Report an Error

Example Question #81 : Order Of Operations

Simplify: $8x[-14x\div 7x]^3-6x$

Possible Answers:

60x

None of the other answers.

-64x

-70x

-58x

Correct answer:

-70x

Explanation:

To solve this problem you must follow the order of operations which are a set of rules that say some mathematical operations are performed sooner than others. The most common acronym to keep track of the order is PEMDAS which stands for Parentheses, Exponents, Multiplication, Division, Addition, and lastly Subtraction. Deal with each operation and move onto the next.

$8x[-14x\div 7x]^3-6x$

Paretheses:

8x[-2]^3-6x

Exponents:

8x[-8]-6x

Multiplication:

-64x-6x

Subtraction:

-64x-6x=-70x

Report an Error

Example Question #83 : Order Of Operations

$6+3^2\div 9-3+(2\cdot 8)$

Simplify.

Possible Answers:

$\frac{16}{3}$

Correct answer:

Explanation:

Follow PEMDAS.

Simplify parentheses: (2*8)=16

Evaluate exponent: 3^2=9

Divide: 9/9=1

6+1-3+16=20

Report an Error

Example Question #84 : Order Of Operations

$9^{2}-72\div4+6\times11-56$

Simplify.

Possible Answers:

Correct answer:

Explanation:

Follow PEMDAS.

Evaluate exponent: 9^2=81

Divide: 72/4=18

Multiply: 6(11)=66

81-18+66-55=74

Report an Error

Example Question #82 : Operations

$32-8\left ( 1+2\right )^{2}+72$

Simplify.

Possible Answers:

293

Correct answer:

Explanation:

Follow PEMDAS.

Simplify parenthese: (1+2)=3

Evaluate exponent: 3^2=9

Multiply: 8(9)=72

32-72+77=37

Report an Error

Example Question #87 : Order Of Operations

Solve the equation using order of operations.

24 + (5*-3) - 2^3 =

Possible Answers:

Correct answer:

Explanation:

24 + (5*-3) - 2^3 =

24 + (5 * -3) -8 =

24 + (-15) -8 =

9 - 8 =

Report an Error

Example Question #88 : Order Of Operations

Simplify: 3-2(6-3)^2

Possible Answers:

Correct answer:

Explanation:

Evaluate the inner parentheses first.

3-2(6-3)^2= 3-2(3)^2

Square the quantity inside the parentheses.

3-2(3)^2 = 3-2(9)

Multiply the number before the parentheses with the inner quantity.

3-2(9) = 3-18

Subtract.

3-18=-15

Report an Error

Example Question #83 : Operations

Solve: $\left(\frac{3(-2)}{3-2(3-2)}\right)^2$

Possible Answers:

$\frac{1}{36}$

Correct answer:

Explanation:

Evaluate the inner parentheses first.

$\left(\frac{3(-2)}{3-2(3-2)}\right)^2= \left(\frac{-6}{3-2(1)}\right)^2$

Simplify the denominator.

$\left(\frac{-6}{3-2(1)}\right)^2 = \left(\frac{-6}{1}\right)^2 =(-6)^2 = 36$

Report an Error

Example Question #84 : Operations

Solve: 2-(1-4)^3

Possible Answers:

127

Correct answer:

Explanation:

Evaluate the quantity in the parentheses first by order of operations.

2-(1-4)^3 = 2-(-3)^3

Cube the quantity in the parentheses and simplify.

Remember, subtracting a negative number makes it positive.

2-(-3)^3 = 2-(-27) = 2+27=29

Report an Error

View Pre-Algebra Tutors

Nate
Certified Tutor

University of Wisconsin-Oshkosh, non degree, Prepharmacy. University of Wisconsin-Madison, Pharmaceutical Chemist, Pharmacy.

View Pre-Algebra Tutors

Chelsea
Certified Tutor

The University of Texas at Dallas, Bachelor of Science, Physics. The University of Texas at Dallas, Master of Science, Bioinf...

View Pre-Algebra Tutors

Ataul
Certified Tutor

Temple University, Bachelor of Science, Financial Planning.

All Pre-Algebra Resources

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

Popular Subjects

Calculus Tutors in Atlanta, Math Tutors in New York City, ISEE Tutors in Los Angeles, ACT Tutors in San Francisco-Bay Area, LSAT Tutors in Houston, Calculus Tutors in Denver, Chemistry Tutors in San Francisco-Bay Area, ACT Tutors in Los Angeles, French Tutors in Houston, Statistics Tutors in Dallas Fort Worth

Popular Courses & Classes

Spanish Courses & Classes in Philadelphia, GMAT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Houston, SSAT Courses & Classes in Atlanta, GRE Courses & Classes in San Diego, Spanish Courses & Classes in Los Angeles, SAT Courses & Classes in Houston, GMAT Courses & Classes in Boston, LSAT Courses & Classes in Denver, GRE Courses & Classes in Philadelphia

Popular Test Prep

SSAT Test Prep in Dallas Fort Worth, ACT Test Prep in San Francisco-Bay Area, GRE Test Prep in Washington DC, SAT Test Prep in Dallas Fort Worth, SSAT Test Prep in San Diego, ACT Test Prep in Chicago, GMAT Test Prep in San Francisco-Bay Area, SSAT Test Prep in Washington DC, ISEE Test Prep in Miami, GMAT Test Prep in Boston

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

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #97 : Operations & Algebraic Thinking

Example Question #81 : Operations

Example Question #81 : Order Of Operations

Example Question #83 : Order Of Operations

Example Question #84 : Order Of Operations

Example Question #82 : Operations

Example Question #87 : Order Of Operations

Example Question #88 : Order Of Operations

Example Question #83 : Operations

Example Question #84 : Operations

All Pre-Algebra Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: