Call Now to Set Up Tutoring:

(888) 888-0446

ISEE Middle Level Math : Distributive Property

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

Create An Account

All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Find The Distributive Property

Which of the following expressions is equivalent to the expression below?

$\displaystyle -7 (x - 9)$

Possible Answers:

$\displaystyle -7x - 63$

-7x - 9 $\displaystyle -7x - 9$

63x $\displaystyle 63x$

-7x+9 $\displaystyle -7x+9$

$\displaystyle -7x + 63$

Correct answer:

$\displaystyle -7x + 63$

Explanation:

First, we can distribute the $\displaystyle -7$ into the parentheses.

$\displaystyle -7 (x - 9) = (-7 * x) - (-7*9)$

Now we can simplify the terms.

$\displaystyle (-7*x)-(-7*9)= -7 x - (-63)$

Subtracting a negative is the same as adding a positive.

$\displaystyle -7x-(-63)= -7x+63$

Report an Error

Example Question #1 : How To Find The Distributive Property

$3\left ( 4+5 \right )=$ $\displaystyle 3\left ( 4+5 \right )=$

Possible Answers:

$\displaystyle 27$

$\displaystyle 3$

$\displaystyle 60$

$\displaystyle 12$

Correct answer:

$\displaystyle 27$

Explanation:

Using the distributive property, multiply 3 times each of the numbers in parentheses, then add both products:

3*4=12 $\displaystyle 3*4=12$

3*5=15 $\displaystyle 3*5=15$

$\displaystyle 12+15=27$

The answer is 27.

Alternatively, add the two terms inside the parentheses and then multiply the sum by 3:

$\displaystyle 3(4+5)=3(9)=27$

Report an Error

Example Question #2 : How To Find The Distributive Property

$\frac{5(3+4)}{5}=$ $\displaystyle \frac{5(3+4)}{5}=$

Possible Answers:

$\displaystyle 12$

$\displaystyle 5$

2.4 $\displaystyle 2.4$

$\displaystyle 7$

Correct answer:

$\displaystyle 7$

Explanation:

First, using the distributive property, multiply 5 times each number in parenthesis, then add the products.

5*3=15 $\displaystyle 5*3=15$

5*4=20 $\displaystyle 5*4=20$

$\displaystyle 15+20=35$

Finally, divide the numerator by the denominator.

$\frac{35}{5}=7$ $\displaystyle \frac{35}{5}=7$

The answer is 7.

Alternatively, first cancel the 5s and then add the terms in the parentheses:

$\frac{5(3+4)}{5}=(3+4)=7$ $\displaystyle \frac{5(3+4)}{5}=(3+4)=7$

Report an Error

Example Question #1 : How To Find The Distributive Property

Simplify the expression: 9 (y-6) $\displaystyle 9 (y-6)$

Possible Answers:

y-15 $\displaystyle y-15$

9y-6 $\displaystyle 9y-6$

y-54 $\displaystyle y-54$

9y-54 $\displaystyle 9y-54$

9y-15 $\displaystyle 9y-15$

Correct answer:

9y-54 $\displaystyle 9y-54$

Explanation:

Apply the distributive property:

9 (y-6) $\displaystyle 9 (y-6)$

$=9 \cdot y-9 \cdot 6$ $\displaystyle =9 \cdot y-9 \cdot 6$

=9 y-54 $\displaystyle =9 y-54$

Report an Error

Example Question #1 : How To Find The Distributive Property

Simplify the expression: $\displaystyle 9y - 3y + 5y$

Possible Answers:

11y $\displaystyle 11y$

$\displaystyle y$

17y $\displaystyle 17y$

$-135y^{3}$ $\displaystyle -135y^{3}$

-135y $\displaystyle -135y$

Correct answer:

11y $\displaystyle 11y$

Explanation:

Apply the distributive property:

$\displaystyle 9y - 3y + 5y$

$= \left (9- 3 + 5 \right ) y$ $\displaystyle = \left (9- 3 + 5 \right ) y$

$= \left (6 + 5 \right ) y$ $\displaystyle = \left (6 + 5 \right ) y$

= 11y $\displaystyle = 11y$

Report an Error

Example Question #1 : How To Find The Distributive Property

Which of the following expressions is equal to $10 \times (5+8)$ $\displaystyle 10 \times (5+8)$ according to the distributive property of multiplication over addition?

Possible Answers:

$10 \times (8+5)$ $\displaystyle 10 \times (8+5)$

$10 \times 5 + 8$ $\displaystyle 10 \times 5 + 8$

$10 \times 5 \times8$ $\displaystyle 10 \times 5 \times8$

$(5+8) \times 10$ $\displaystyle (5+8) \times 10$

$10 \times 5+10 \times8$ $\displaystyle 10 \times 5+10 \times8$

Correct answer:

$10 \times 5+10 \times8$ $\displaystyle 10 \times 5+10 \times8$

Explanation:

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

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

If we set $\displaystyle a=10,b=5,c=8$, this becomes the statement

$10 \times (5+8) = 10 \times 5+10 \times8$ $\displaystyle 10 \times (5+8) = 10 \times 5+10 \times8$.

Note that two of the other choices are equal to $10 \times (5+8)$ $\displaystyle 10 \times (5+8)$, but for different reasons; $10 \times (8+5)$ $\displaystyle 10 \times (8+5)$ is equivalent because of the commutative property of addition, and $(5+8) \times 10$ $\displaystyle (5+8) \times 10$ is equivalent because of the commutative property of multiplication. The other two choices are not equal to $10 \times (5+8)$ $\displaystyle 10 \times (5+8)$ at all.

Report an Error

Example Question #2 : How To Find The Distributive Property

$\displaystyle 14(11+2)=$

Possible Answers:

126 $\displaystyle 126$

154 $\displaystyle 154$

182 $\displaystyle 182$

180 $\displaystyle 180$

Correct answer:

182 $\displaystyle 182$

Explanation:

$\displaystyle 14(11+2)$

=14(13) $\displaystyle =14(13)$

=182 $\displaystyle =182$

Report an Error

Example Question #3 : How To Find The Distributive Property

$\displaystyle 11(7-3)=$

Possible Answers:

$\displaystyle 77$

110 $\displaystyle 110$

$\displaystyle 33$

$\displaystyle -44$

$\displaystyle 44$

Correct answer:

$\displaystyle 44$

Explanation:

$\displaystyle 11(7-3)=11(4)=44$

Report an Error

Example Question #4 : How To Find The Distributive Property

$\displaystyle 7( 5+8)=$

Possible Answers:

$\displaystyle 91$

$\displaystyle 81$

$\displaystyle 90$

280 $\displaystyle 280$

$\displaystyle 20$

Correct answer:

$\displaystyle 91$

Explanation:

First add the terms inside the parentheses, then multiply:

$\displaystyle 7( 5+8)=7(13)=91$

Report an Error

Example Question #5 : How To Find The Distributive Property

8(9-1)= $\displaystyle 8(9-1)=$

Possible Answers:

$\displaystyle 72$

$\displaystyle 16$

$\displaystyle 64$

$\displaystyle 80$

$\displaystyle 17$

Correct answer:

$\displaystyle 64$

Explanation:

Subtract the terms inside the parentheses, and then multiply by the term outside of the parentheses:

$\displaystyle 8(9-1)=8(8)=64$

Report an Error

View Tutors

Gabby
Certified Tutor

University of Oregon, Bachelor in Arts, Journalism. University of Oregon, Current Grad Student, Communication, General.

View Tutors

Monique
Certified Tutor

California State University-Dominguez Hills, Bachelor of Science, Political Science and Government. California State Universi...

View Tutors

Karen
Certified Tutor

Misericordia University, Bachelor of Science, Biology, General. Indiana University of Pennsylvania-Main Campus, Masters in Ed...

All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

ISEE Tutors in Miami, English Tutors in Los Angeles, Statistics Tutors in Phoenix, Calculus Tutors in New York City, Chemistry Tutors in Miami, GMAT Tutors in New York City, ACT Tutors in San Diego, Algebra Tutors in Phoenix, French Tutors in Washington DC, French Tutors in Seattle

Popular Courses & Classes

GMAT Courses & Classes in Phoenix, LSAT Courses & Classes in Washington DC, Spanish Courses & Classes in San Diego, GMAT Courses & Classes in Denver, GMAT Courses & Classes in San Francisco-Bay Area, MCAT Courses & Classes in San Francisco-Bay Area, LSAT Courses & Classes in Los Angeles, ACT Courses & Classes in Philadelphia, ACT Courses & Classes in Houston, SAT Courses & Classes in Denver

Popular Test Prep

ACT Test Prep in Chicago, ACT Test Prep in Houston, ACT Test Prep in Seattle, ISEE Test Prep in Washington DC, GRE Test Prep in Seattle, LSAT Test Prep in Denver, SAT Test Prep in Washington DC, MCAT Test Prep in Denver, GMAT Test Prep in Washington DC, SSAT Test Prep in Washington DC

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

ISEE Middle Level Math : Distributive Property

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #1 : How To Find The Distributive Property

Example Question #1 : How To Find The Distributive Property

Example Question #2 : How To Find The Distributive Property

Example Question #1 : How To Find The Distributive Property

Example Question #1 : How To Find The Distributive Property

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 #5 : How To Find The Distributive Property

All ISEE Middle Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: