Call Now to Set Up Tutoring:

(888) 888-0446

SAT II Math II : Properties and Identities

Study concepts, example questions & explanations for SAT II Math II

Create An Account

All SAT II Math II Resources

2 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #91 : Sat Subject Test In Math Ii

What property of arithmetic is demonstrated below?

y + 8 = 8 + y

Possible Answers:

Identity

Commutative

Distributive

Transitive

Associative

Correct answer:

Commutative

Explanation:

The statement shows that two numbers can be added in either order to achieve the same result. This is the commutative property of addition.

Report an Error

Example Question #92 : Sat Subject Test In Math Ii

What property of arithmetic is demonstrated below?

0 + Z = Z

Possible Answers:

Inverse

Reflexive

Transitive

Identity

Distributive

Correct answer:

Identity

Explanation:

The fact that 0 can be added to any number to yield the latter number as the sum is the identity property of addition.

Report an Error

Example Question #93 : Sat Subject Test In Math Ii

What property of arithmetic is demonstrated below?

M + (-M) = 0

Possible Answers:

Symmetric

Transitive

Identity

Inverse

Associative

Correct answer:

Inverse

Explanation:

For every real number, there is a number that can be added to it to yield the sum 0. This is the inverse property of addition.

Report an Error

Example Question #94 : Sat Subject Test In Math Ii

What property of arithmetic is demonstrated below?

$m \angle ABC = m \angle ABC$

Possible Answers:

Commutative

Symmetric

Transitive

Symmetric

Reflexive

Correct answer:

Reflexive

Explanation:

That any number is equal to itself is the reflexive property of equality.

Report an Error

Example Question #95 : Sat Subject Test In Math Ii

What property of arithmetic is demonstrated below?

If $m \angle 1 = m \angle 2$ then $m \angle 2 = m \angle 1$ .

Possible Answers:

Reflexive

Symmetric

Associative

Commutative

Transitive

Correct answer:

Symmetric

Explanation:

If an equality is true, then it can be correctly stated with the expressions in either order with equal validity. This is the symmetric property of equality.

Report an Error

Example Question #96 : Sat Subject Test In Math Ii

What property of arithmetic is demonstrated below?

$m \angle ABC + 45^{\circ } = 45^{\circ } + m \angle ABC$

Possible Answers:

Commutative

Transitive

Distributive

Identity

Associative

Correct answer:

Commutative

Explanation:

The statement shows that two numbers can be added in either order to yield the same sum. This is the commutative property of addition.

Report an Error

Example Question #7 : Properties And Identities

Which of the following sets is not closed under multiplication?

Possible Answers:

$\left \{ 2, 4, 6, 8, 10...\right \}$

$\left \{ 1, 4, 9, 16, 25,...\right \}$

All of the sets in the other four responses are closed under multiplication.

$\left \{ i, 2i, 3i, 4i, 5i...\right \}$

$\left \{ \sqrt{1}, \sqrt{2}, \sqrt{3}, \sqrt{4}, \sqrt{5} ... \right \}$

Correct answer:

$\left \{ i, 2i, 3i, 4i, 5i...\right \}$

Explanation:

A set is closed under multiplication if and only the product of any two (not necessarily distinct) elements of that set is itself an element of that set.

$\left \{ 2, 4, 6, 8, 10...\right \}$ is closed under multiplication since the product of two even numbers is even:

$2N \cdot 2M = 4MN = 2 (2MN)$

$\left \{ 1, 4, 9, 16, 25,...\right \}$ is closed under multiplication since the product of two perfect squares is a perfect square:

$N^{2} \cdot M^{2} = (NM)^{2}$

$\left \{ \sqrt{1}, \sqrt{2}, \sqrt{3}, \sqrt{4}, \sqrt{5} ... \right \}$ is closed under multiplication since the product of two square roots of positive integers is the square root of a positve integer:

$\sqrt{N} \cdot \sqrt{M} = \sqrt{NM}$

But $\left \{ i, 2i, 3i, 4i, 5i...\right \}$ , as can be seen here, is not closed under multiplication:

$2i \cdot 3i = 2\cdot 3 \cdot i \cdot i = 6 \cdot i^{2} = 6 (-1)= -6 \notin \left \{ i, 2i, 3i, 4i, 5i...\right \}$

Report an Error

Example Question #7 : Properties And Identities

Which expression is not equal to 0 for all positive values of ?

Possible Answers:

-x + x

$\left (x+1 \right )^{0}$

All four expressions given in the other choices are equal to 0 for all positive values of .

$0^{x}$

0 (x+1)

Correct answer:

$\left (x+1 \right )^{0}$

Explanation:

$\left (x+1 \right )^{0}$ is the correct choice.

0 (x+1) = 0 for all values of , since, by the zero property of multiplication, any number multiplied by 0 yields product 0.

-x + x = 0 for all values of - this is a direct statement of the inverse property of addition.

$0^{x} = 0$ , since 0 raised to any positive power yields a result of 0.

$\left (x+1 \right )^{0} = 1$ , since any nonxero number raised to the power of 0 yields a result of 1.

Report an Error

View SAT Subject Test in Mathematics Level 2 Tutors

Josias
Certified Tutor

View SAT Subject Test in Mathematics Level 2 Tutors

Swagatika
Certified Tutor

Regional Institute of Education Bhubaneswar, Bachelor of Economics, Mathematics.

View SAT Subject Test in Mathematics Level 2 Tutors

Erik
Certified Tutor

University of Illinois at Urbana-Champaign, Bachelor of Science, Physics. University of California-San Diego, Master of Scien...

All SAT II Math II Resources

2 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

ISEE Tutors in Houston, Statistics Tutors in Boston, Reading Tutors in Los Angeles, ACT Tutors in San Francisco-Bay Area, Algebra Tutors in Dallas Fort Worth, Reading Tutors in Chicago, Math Tutors in Boston, Algebra Tutors in San Francisco-Bay Area, English Tutors in New York City, SSAT Tutors in Phoenix

Popular Courses & Classes

ACT Courses & Classes in Atlanta, GMAT Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in San Francisco-Bay Area, LSAT Courses & Classes in New York City, SSAT Courses & Classes in New York City, GMAT Courses & Classes in Washington DC, LSAT Courses & Classes in Philadelphia, Spanish Courses & Classes in Atlanta, MCAT Courses & Classes in Los Angeles, LSAT Courses & Classes in Seattle

Popular Test Prep

LSAT Test Prep in Phoenix, SSAT Test Prep in New York City, LSAT Test Prep in San Diego, GRE Test Prep in Denver, ISEE Test Prep in Los Angeles, GRE Test Prep in New York City, GMAT Test Prep in Washington DC, SAT Test Prep in Denver, MCAT Test Prep in Chicago, MCAT Test Prep in Atlanta

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

SAT II Math II : Properties and Identities

Study concepts, example questions & explanations for SAT II Math II

All SAT II Math II Resources

Example Questions

Example Question #91 : Sat Subject Test In Math Ii

Example Question #92 : Sat Subject Test In Math Ii

Example Question #93 : Sat Subject Test In Math Ii

Example Question #94 : Sat Subject Test In Math Ii

Example Question #95 : Sat Subject Test In Math Ii

Example Question #96 : Sat Subject Test In Math Ii

Example Question #7 : Properties And Identities

Example Question #7 : Properties And Identities

All SAT II Math II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: