Call Now to Set Up Tutoring:

(888) 888-0446

SSAT Middle Level Math : Distributive Property

Study concepts, example questions & explanations for SSAT Middle Level Math

Create An Account

All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Find The Distributive Property

$3\times(4+\frac{1}{3})= ?$

Possible Answers:

$15+\frac{2}{3}$

$12+\frac{1}{3}$

Correct answer:

Explanation:

Using the distributive property we get: $(3\times4)+(3\times \frac{1}{3})=12+1=13$

Report an Error

Example Question #2 : How To Find The Distributive Property

Which of the following expressions is equivalent to the expression -6 (-3x+7) ?

Possible Answers:

-18x - 42

18x +7

18x +42

18x - 42

18x -7

Correct answer:

18x - 42

Explanation:

By the distributive property of multiplication over addition,

$-6 (-3x+7) = -6 \cdot (-3x) +(-6)\cdot 7 = 18x + (-42)= 18x - 42$

Report an Error

Example Question #3 : How To Find The Distributive Property

Which of the following expressions is equivalent to the expression 8 (-2x+7) ?

Possible Answers:

-16x+56

16x-7

-16x-56

16x+7

-16x+7

Correct answer:

-16x+56

Explanation:

By the distributive property of multiplication over addition,

$8 (-2x+7) = 8 (-2x)+8\cdot 7 = -16x + 56$

Report an Error

Example Question #4 : How To Find The Distributive Property

Simplify the expression: 11y - 3y + 4y

Possible Answers:

-132y

18y

12y

-132y^3

Correct answer:

12y

Explanation:

Apply the distributive property:

11y - 3y + 4y

$= \left (11 - 3 + 4 \right ) y$

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

=12 y

Report an Error

Example Question #4 : How To Find The Distributive Property

Simplify the expression: 7 (y+5)

Possible Answers:

7y+35

y+35

7y+12

7y+5

y+12

Correct answer:

7y+35

Explanation:

Apply the distributive property:

7 (y+5)

$= 7 \cdot y+7 \cdot5$

= 7 y+35

Report an Error

Example Question #5 : How To Find The Distributive Property

Which of the following is an example of an application of the distributive property?

Possible Answers:

$13 \times (54 + 14) = 13 \times 54 + 13 \times 14$

$13 + (54 \times 14) = (54 \times 14) + 13$

$13 \times (54 \times 14) = \left (13 \times 54 \right ) \times 14$

$13 + (54 \times 14) = 13 +(14 \times 54)$

$1 \times (54 \times 14) =54 \times 14$

Correct answer:

$13 \times (54 + 14) = 13 \times 54 + 13 \times 14$

Explanation:

According to the distributive property, for any values of a,b,c ,

$a (b + c) = a \cdot b + a \cdot c$

If we set a=13,b=54,c=14 , this become the statement

$13 \times (54 + 14) = 13 \times 54 + 13 \times 14$ ,

so this is the correct choice.

All of the other statements are true for different reasons:

$13 \times (54 \times 14) = \left (13 \times 54 \right ) \times 14$ is true because of the associative property of multiplication.

$13 + (54 \times 14) = 13 +(14 \times 54)$ is true because of the commutative property of multiplication.

$13 + (54 \times 14) = (54 \times 14) + 13$ is true because of the commutative property of addition.

$1 \times (54 \times 14) =54 \times 14$ is true because of the identity property of multiplication.

Report an Error

Example Question #4 : How To Find The Distributive Property

Simplify the expression:

8x - 7 (3x+ 6) - 5

Possible Answers:

-13 x + 37

-13 x + 1

-13 x - 1

-13 x - 37

-13 x - 47

Correct answer:

-13 x - 47

Explanation:

Distribute, then collect like terms:

8x - 7 (3x+ 6) - 5

$=8x - 7 \cdot 3x - 7 \cdot 6 - 5$

=8x - 21x - 42 - 5

$= \left ( 8 - 21 \right ) x - 42 - 5$

= -13 x - 47

Report an Error

Example Question #5 : How To Find The Distributive Property

Diana is thirty-three years older than her son Colin, who is three times as old as her niece Sharon. If is Diana's age, how old is Sharon?

Possible Answers:

$\frac{1}{3}D - 33$

$\frac{1}{3}D + 11$

$\frac{1}{3}D - 11$

3D - 99

3D-33

Correct answer:

$\frac{1}{3}D - 11$

Explanation:

Colin's age is thirty-three years less than Diana's age of , so Colin is D -33 years old; Sharon is one-third of this, or $\frac{1}{3 }\left (D -33 \right )$ . Using distribution, this can be rewritten as

$\frac{1}{3 }\left (D -33 \right ) = \frac{1}{3 } \cdot D - \frac{1}{3 } \cdot 33 = \frac{1}{3}D - 11$ .

Report an Error

Example Question #4 : Distributive Property

Nina is twenty-one years younger than her mother Caroline, who is one-third as old as their neighbor Mr. Hutchinson. If is Nina's age, how old is Mr. Hutchinson?

Possible Answers:

$\frac{1}{3}N - 21$

3N + 7

3N + 21

3N + 63

$\frac{1}{3}N - 7$

Correct answer:

3N + 63

Explanation:

Caroline is twenty-one years older than Nina, so her age is N + 21 . Mr. Hutchinson is three times as old as Caroline, so he is $3\left (N + 21 \right )$ . Using distribution, this can be rewritten as

$3\left (N + 21 \right ) = 3 \cdot N + 3 \cdot 21= 3N + 63$ .

Report an Error

Example Question #5 : How To Find The Distributive Property

Which of the following expressions is equivalent to x(2-k) ?

Possible Answers:

2(k-x)

2x-2k

x(k+2)

2x-kx

Correct answer:

2x-kx

Explanation:

When distributing, the number outside the parentheses is multiplied by both of the numbers inside without changing any signs.

Report an Error

View SSAT- Middle Level Tutors

Lillian
Certified Tutor

University of North Carolina at Chapel Hill, Bachelor in Arts, Education. University of Phoenix-Online Campus, Master of Arts...

View SSAT- Middle Level Tutors

Muhammad
Certified Tutor

Iowa State University, Bachelor of Science, Management Information Systems. Lahore University of Management Sciences, Masters...

View SSAT- Middle Level Tutors

Bill
Certified Tutor

SUNY Empire State College, Bachelors, General Sciences, Theater.

All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

LSAT Tutors in Philadelphia, Biology Tutors in Phoenix, Algebra Tutors in Atlanta, Statistics Tutors in Seattle, Biology Tutors in Los Angeles, ISEE Tutors in Seattle, GMAT Tutors in San Francisco-Bay Area, SAT Tutors in Atlanta, Biology Tutors in Atlanta, ISEE Tutors in Philadelphia

Popular Courses & Classes

ISEE Courses & Classes in Miami, GRE Courses & Classes in San Diego, MCAT Courses & Classes in Boston, Spanish Courses & Classes in Washington DC, GRE Courses & Classes in Houston, MCAT Courses & Classes in Dallas Fort Worth, Spanish Courses & Classes in Seattle, ISEE Courses & Classes in Philadelphia, LSAT Courses & Classes in Denver, GRE Courses & Classes in Boston

Popular Test Prep

ISEE Test Prep in Houston, GRE Test Prep in Los Angeles, SAT Test Prep in Boston, SAT Test Prep in Denver, MCAT Test Prep in Dallas Fort Worth, MCAT Test Prep in Seattle, GRE Test Prep in Houston, GRE Test Prep in Miami, GMAT Test Prep in Washington DC, GRE Test Prep in Chicago

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

SSAT Middle Level Math : Distributive Property

Study concepts, example questions & explanations for SSAT Middle Level Math

All SSAT Middle Level Math Resources

Example Questions

Example Question #1 : How To Find The Distributive Property

Example Question #2 : How To Find The Distributive Property

Example Question #3 : How To Find The Distributive Property

Example Question #4 : How To Find The Distributive Property

Example Question #4 : How To Find The Distributive Property

Example Question #5 : How To Find The Distributive Property

Example Question #4 : How To Find The Distributive Property

Example Question #5 : How To Find The Distributive Property

Example Question #4 : Distributive Property

Example Question #5 : How To Find The Distributive Property

All SSAT Middle Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: