Call Now to Set Up Tutoring:

(888) 888-0446

GED Math : Numbers and Operations

Study concepts, example questions & explanations for GED Math

Create An Account

All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Order Of Operations

Evaluate:

$6 \times 3 + 4 ^{2}$

Possible Answers:

294

484

1,764

Correct answer:

Explanation:

Work the operations in this order: Square first, multiply second, add third.

$6 \times 3 + 4 ^{2} = 6 \times 3 +\left ( 4 \times 4 \right ) = 6 \times 3 + 16 = 18 + 16 = 34$

Report an Error

Example Question #2 : Order Of Operations

Solve:

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

Possible Answers:

Correct answer:

Explanation:

When solving this problem, you need to remember order of operations, which tells us which operation has to be done first.

When following order of operations, you complete operations in the following order:

1. Parenthesis - Complete any operation in parenthesis first

2. Exponents - Solve exponents second

3. Multiplication and Division - Multiply or Divide (whichever one comes first from left to right)

4. Addition and Subtraction - Add or Subtract (whichever one comes first from left to right)

Keeping order of operations in mind, the steps to solve $3-4+2^{3}*3$ are below

$3-4+2^{3}*3 \textup{ } (\textup{Solve for the exponent})$

$3-4+8*3 \textup{ } (\textup{Multiply } 8 \textup{ and }3)$

$3-4+24 \textup{ } (\textup{Subtract } 3 \textup{ and }4)$

$-1+24 \textup{ } (\textup{Add } -1 \textup{ and }24)$

Report an Error

Example Question #331 : Numbers And Operations

Define an operation $\bigstar$ on the real numbers as follows:

$a \bigstar b = \frac{a + 5}{a + b + 5}$

Evaluate $6 \bigstar (- 6)$

Possible Answers:

$-\frac{1}{5}$

$-\frac{1}{6}$

Undefined

$2\frac{1}{5}$

Correct answer:

$2\frac{1}{5}$

Explanation:

Substitute 6 for and for :

$a \bigstar b = \frac{6 + 5}{6 + (-6) + 5}= \frac{11}{0 + 5} = \frac{11}{5} = 2\frac{1}{5}$

Report an Error

Example Question #4 : Order Of Operations

Define an operation $\bigstar$ on the real numbers as follows:

$a \bigstar b = \frac{a + 5}{a + b + 5}$

Evaluate $7 \bigstar \left (- 12 \right )$

Possible Answers:

$-\frac{7}{24}$

Undefined

$\frac{1}{2}$

$-\frac{1}{2}$

Correct answer:

Undefined

Explanation:

Substitute 7 for and - for :

$a \bigstar b = \frac{a + 5}{a + b + 5}$

$7 \bigstar -12 = \frac{7 + 5}{7 + (-12)+ 5} = \frac{12}{-5+ 5} = \frac{12}{0}$

Any fraction with a zero denominator - such as this one - is an undefined quantity.

Report an Error

Example Question #1 : Order Of Operations

Solve: $-2 + 3\times6-12\div3+2$

Possible Answers:

$-\frac{6}{5}$

$\frac{10}{3}$

Correct answer:

Explanation:

This problem involves order of operations.

Use the acronym for the correct order:

PEMDAS-Parenthesis, Exponents, Multiply, Divide, Add, Subtract

(Please Excuse My Dear Aunt Sally)

Start by grouping what needs to be solved first.

$-2 + 3\times6-12\div3+2$

$-2 +\left ( 3\times6 \right )-\left (12\div3 \right )+2$

-2+18-4+2

The answer is 14.

Report an Error

Example Question #2 : Order Of Operations

In order to calculate

$50 - 20 \div 5 + 8^{2}$

what step must you take first?

Possible Answers:

Subtracting twenty from fifty

Adding five and eight

Dividing twenty by five

Calculating the square of eight

Correct answer:

Calculating the square of eight

Explanation:

By the order of operations, in the absence of grouping symbols, exponents must be carried out before any other operations. The correct choice is that eight must be squared.

Report an Error

Example Question #1 : Order Of Operations

Evaluate $y ^{2} - 6y + 7$ for y = 0.5 .

Do not use a calculator.

Possible Answers:

6.5

-7.5

4.25

-9.75

Correct answer:

4.25

Explanation:

Substitute 0.5 for and follow the order of operations:

$y ^{2} - 6y + 7$

$=0.5 ^{2} - 6(0.5) + 7$

=0.25- 6(0.5) + 7

=0.25 - 3 + 7

= -2.75 + 7

= 4.25

Report an Error

Example Question #5 : Order Of Operations

Evaluate -7x + 13 for x = -6 . Do NOT use a calculator.

Possible Answers:

133

Correct answer:

Explanation:

Substitute for in the expression and folllow the order of operations:

-7x + 13

= -7 (-6) + 13

$= +(7 \cdot 6)+ 13$

= 42 + 13

= 55

Report an Error

Example Question #5 : Complex Operations

Evaluate $-7 + x^{2}$ for x = 7

Do not use a calculator.

Possible Answers:

Correct answer:

Explanation:

Substitute 7 for in the expression and evaluate, paying attention to the order of operations:

$-7 + x^{2}$

$= -7 + 7^{2}$

= -7 + 49

$= +\left ( 49 - 7 \right )$

=42

Report an Error

Example Question #5 : Order Of Operations

Evaluate:

800 - 281 + 154 - 165 + 342

Do not use a calculator.

Possible Answers:

542

166

850

Correct answer:

850

Explanation:

In the order of operations, additions and subtractions are carried out from left to right:

800 - 281 + 154 - 165 + 342

=519 + 154 - 165 + 342

=673 - 165 + 342

=508 + 342

= 850

Report an Error

View Tutors

Christina
Certified Tutor

University of California-San Francisco, Master of Science, Elementary School Teaching.

View Tutors

Pushpendra
Certified Tutor

university of allahabad, Bachelor of Science, Mathematics.

View Tutors

Shravanthi
Certified Tutor

Sri Venkata Sai medical college, Bachelor of Science, Community Health and Preventive Medicine.

All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Biology Tutors in Phoenix, French Tutors in Denver, Computer Science Tutors in San Francisco-Bay Area, French Tutors in Miami, MCAT Tutors in Atlanta, ISEE Tutors in Washington DC, ACT Tutors in New York City, English Tutors in Atlanta, Spanish Tutors in San Francisco-Bay Area, GRE Tutors in San Francisco-Bay Area

Popular Courses & Classes

GMAT Courses & Classes in New York City, SAT Courses & Classes in Phoenix, Spanish Courses & Classes in Philadelphia, GRE Courses & Classes in Chicago, LSAT Courses & Classes in Washington DC, ACT Courses & Classes in Washington DC, Spanish Courses & Classes in Atlanta, MCAT Courses & Classes in Phoenix, ACT Courses & Classes in Denver, GMAT Courses & Classes in Chicago

Popular Test Prep

SAT Test Prep in Chicago, ISEE Test Prep in Washington DC, MCAT Test Prep in Phoenix, ISEE Test Prep in Atlanta, GMAT Test Prep in New York City, ACT Test Prep in Washington DC, GRE Test Prep in Chicago, LSAT Test Prep in Chicago, SAT Test Prep in Phoenix, SSAT Test Prep in Seattle

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

GED Math : Numbers and Operations

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #1 : Order Of Operations

Example Question #2 : Order Of Operations

Example Question #331 : Numbers And Operations

Example Question #4 : Order Of Operations

Example Question #1 : Order Of Operations

Example Question #2 : Order Of Operations

Example Question #1 : Order Of Operations

Example Question #5 : Order Of Operations

Example Question #5 : Complex Operations

Example Question #5 : Order Of Operations

All GED Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: