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 #1 : Associative Property Of Addition

Which property is illustrated by the example?

(3+2)+4=3+(2+4)

Possible Answers:

Commutative property of addition

Associative property of addition

Zero property

Inverse property of addition

Correct answer:

Associative property of addition

Explanation:

The associative property of addition states:
(a+b)+c=a+(b+c)

When considering only addition and subtraction, the order of operations does not matter.

(3+2)+4=3+(2+4)

(3+2)+4=5+4=9

3+(2+4)=3+6=9

Report an Error

Example Question #2 : Associative Property Of Addition

Simplify.

4(a+2) -3a+5

Possible Answers:

15a

a+5

6a+9

a+13

-a+7

Correct answer:

a+13

Explanation:

Working left to right use the distributive property by multiplying the 4 to each term in parentheses.

4(a+2)-3a+5

$(4a)+(4\times 2)-3a+5$

4a+8-3a+5

Now, use the associative property to group like terms. Note that -3a+5 cannot be combined because they are not like terms.

(4a-3a)+(8+5)

Like terms can be combined with addition or subtraction.

a+13

Report an Error

Example Question #2 : Associative Property Of Addition

What property can be applied to the following expression?

$\left ( 8 + 4\right ) + 11 = 8 + \left ( 4 + 11\right )$

Possible Answers:

Additive Inverse

Additive Identity

Associative of Addition

Associative of Multiplication

Commutative of Addition

Correct answer:

Associative of Addition

Explanation:

The rule for Associative Property of Addition is $\left ( a + b\right ) + c = a + \left ( b + c\right )$

Expression given in the question is: $\left ( 8 + 4\right ) + 11 = 8 + \left ( 4 + 11\right )$

Hence the property is Associative of Addition.

Report an Error

Example Question #3 : Associative Property Of Addition

Use the "Associative of Addition" property to write the below expression in a different way.

$\left ( x + 2\right ) + y$

Possible Answers:

$\left ( x + y\right ) + 2$

$\left ( 2 + x\right ) + y$

$x + \left ( 2 + y\right )$

$y + \left ( x + 2\right )$

$2 + \left ( x + y\right )$

Correct answer:

$x + \left ( 2 + y\right )$

Explanation:

The rule for Associative Property of Addition is $\left ( a + b\right ) + c = a + \left ( b + c\right )$

Using this rule, the expression $\left ( x + 2\right ) + y$ can be written as $x + \left ( 2 + y\right )$

Report an Error

Example Question #2 : Associative Property Of Addition

What property is being demonstrated?

3+(5+2)=(3+5)+2

Possible Answers:

PEMDAS

Distribution Property

Associative Property of Addition

Communitive Property of Addition

Correct answer:

Associative Property of Addition

Explanation:

The Associative Property of Addition says that when we add more than two numbers the grouping of the addends does not change the sum.

Report an Error

Example Question #4 : Associative Property Of Addition

Which of the following statements demonstrates the associative property of addition?

Possible Answers:

2.5 + 0 = 2.5

None of the examples in the other responses demonstrates the associative property of addition.

(2.5 + 5) + 7.5 = 2.5 + (5+7.5)

2.5+ (-2.5) = 0

2.5+5= 5+2.5

Correct answer:

(2.5 + 5) + 7.5 = 2.5 + (5+7.5)

Explanation:

The associative property of addition states that to add three numbers, any two can be added first, followed by adding the sum to the third. Of the statements given, only

(2.5 + 5) + 7.5 = 2.5 + (5+7.5)

demonstrates this property, so it is the correct choice.

Report an Error

Example Question #5 : Associative Property Of Addition

Which of the following displays the associative property of addition?

Possible Answers:

(a +b) + c = a + (b + c)

a + 0 = a

$2(a + b) = 2a +2b$

ab = a+b

(a + b) = a + b

Correct answer:

(a +b) + c = a + (b + c)

Explanation:

The associative property of addition states that you can group, or "associate," additive terms in any order and still get the same answer. Here (a +b) + c = a + (b + c) does just that: whether you add $a+b$ first and then add $c$ , or add $b+c$ first and then $a$ , as long as you add those three terms you'll get the same answer.

Report an Error

Example Question #1 : Associative Property Of Multiplication

If the below expression is written using the Associative Property of Multiplication, what are the values of and ?

$\left ( p \times 11\right ) \times 8 = 13 \times \left ( 11 \times q\right )$

Possible Answers:

$p=8,\ q=13$

$p=11,\ q=13$

$p=11,\ q=8$

$p=13,\ q=11$

$p=13,\ q=8$

Correct answer:

$p=13,\ q=8$

Explanation:

The rule for Associative Property of Multiplication is $\left ( a \times b\right )\times c = a \times \left ( b \times c\right )$

Using this rule, we can determine that for the given expression $\left ( p \times 11\right )\times 8 = 13 \times \left ( 11 \times q\right )$ ,

$p=13\ and\ q=8$

Report an Error

Example Question #2 : Associative Property Of Multiplication

Which set of equations illustrates the Associative property of Multiplication?

Possible Answers:

The answer is not present.

(6x^2*8)4x=6x^2(8*4x)

8x*7x^2=7x^2*8x

8(x+3)=8*x+8*3

a*1=a

Correct answer:

(6x^2*8)4x=6x^2(8*4x)

Explanation:

8(x+3)=8*x+8*3 is the distributive property. Multiply each term in the parenthesis by the outside term.

8x*7x^2=7x^2*8x is the Commutative property of Multiplication. The order of two like terms being multiplied does not change the product.

a*1=a is the Multiplicative Identity property. Anything multiplied by 1 does not change.

${\color{Green} (6x^2*8)4x=6x^2(8*4x)}$ is Associative property of Multiplication. The grouping of terms does not change their product as long as all terms remain in the equation. Try the green equation without the variables to see for yourself.

Report an Error

Example Question #3 : Associative Property Of Multiplication

Which of the following best represents the associative property of multiplication?

Possible Answers:

$(A\times B)\times C = A\times (B\times C)$

$3\times 4=12$

$(6)+(9\cdot Y) = (9\cdot Y)+(6)$

$X^2 = X\cdot X$

2(3x+3y) = 2(3x)+2(3y)

Correct answer:

$(A\times B)\times C = A\times (B\times C)$

Explanation:

The property states that changing the order of multiplying any two numbers will not change the final answer.

$X\cdot Y = Y \cdot X$

Looking at the answer choices:

The answer $(A\times B)\times C = A\times (B\times C)$ is the best choice.

Report an Error

View Pre-Algebra Tutors

Brandon
Certified Tutor

The Art Institute of Tampa, Bachelor in Arts, Animation and Special Effects.

View Pre-Algebra Tutors

Blossom
Certified Tutor

University of Maryland-Baltimore County, Bachelor of Science, Computer Science.

View Pre-Algebra Tutors

Magdy
Certified Tutor

Cairo University, Egypt, Bachelor of Science, Electrical Engineering. New Mexico State University-Main Campus, Doctor of Phil...

All Pre-Algebra Resources

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

Popular Subjects

English Tutors in Atlanta, Reading Tutors in Washington DC, ACT Tutors in Philadelphia, ACT Tutors in Boston, Computer Science Tutors in Seattle, LSAT Tutors in Atlanta, LSAT Tutors in Seattle, Statistics Tutors in Seattle, Statistics Tutors in Atlanta, Spanish Tutors in Chicago

Popular Courses & Classes

MCAT Courses & Classes in Philadelphia, SSAT Courses & Classes in Seattle, ISEE Courses & Classes in San Diego, SSAT Courses & Classes in Los Angeles, ISEE Courses & Classes in Miami, LSAT Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in Philadelphia, ISEE Courses & Classes in New York City, MCAT Courses & Classes in Houston, ISEE Courses & Classes in Phoenix

Popular Test Prep

LSAT Test Prep in Denver, SAT Test Prep in Miami, GMAT Test Prep in Philadelphia, SAT Test Prep in San Diego, MCAT Test Prep in Boston, SAT Test Prep in Dallas Fort Worth, ISEE Test Prep in Boston, MCAT Test Prep in Dallas Fort Worth, GRE Test Prep in Washington DC, LSAT Test Prep in Los Angeles

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 #1 : Associative Property Of Addition

Example Question #2 : Associative Property Of Addition

Example Question #2 : Associative Property Of Addition

Example Question #3 : Associative Property Of Addition

Example Question #2 : Associative Property Of Addition

Example Question #4 : Associative Property Of Addition

Example Question #5 : Associative Property Of Addition

Example Question #1 : Associative Property Of Multiplication

Example Question #2 : Associative Property Of Multiplication

Example Question #3 : Associative Property Of Multiplication

All Pre-Algebra Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: