Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: High School - Number and Quantity : High School: Number and Quantity

Study concepts, example questions & explanations for Common Core: High School - Number and Quantity

Create An Account

All Common Core: High School - Number and Quantity Resources

6 Diagnostic Tests 49 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Multiply Matrices By Scalar: Ccss.Math.Content.Hsn Vm.C.7

Compute

$22\begin{bmatrix} 7 & 6&16 \\ 0&0 &12 \end{bmatrix}$

Possible Answers:

$\begin{bmatrix} 154 & 132&352 \\ 0&0 & 264\end{bmatrix}$

$\begin{bmatrix} 154 & 0&352 \\ 0&132 &264 \end{bmatrix}$

$\begin{bmatrix} 154 & 0&352 \\ 0&132 & 264\end{bmatrix}$

$\begin{bmatrix} 154 & 132&-352 \\ 0&0 & -264\end{bmatrix}$

$\begin{bmatrix} 154 & 132&352 \\ 0&0 &264 \end{bmatrix}$

Correct answer:

$\begin{bmatrix} 154 & 132&352 \\ 0&0 &264 \end{bmatrix}$

Explanation:

In order to compute this, we need to multiply each entry by the scalar .

$22\begin{bmatrix} 7 & 6&16 \\ 0&0 &12 \end{bmatrix}=\begin{bmatrix} 22\cdot7 & 22\cdot6&22\cdot16 \\ 22\cdot0&22\cdot0 &22\cdot12 \end{bmatrix}=\begin{bmatrix} 154 & 132&352 \\ 0&0 &264 \end{bmatrix}$

Report an Error

Example Question #7 : Multiply Matrices By Scalar: Ccss.Math.Content.Hsn Vm.C.7

Compute

$-4\begin{bmatrix} 5 & 2&12 \\ 3&-1 &-2 \end{bmatrix}$

Possible Answers:

$\begin{bmatrix} 20 & -8&-48 \\ -12&4 &8 \end{bmatrix}$

$\begin{bmatrix} -20 & -8&48 \\ 12&4 &8 \end{bmatrix}$

$\begin{bmatrix} -20 & 8&48 \\ -12&4 &8 \end{bmatrix}$

$\begin{bmatrix} -20 & -8&-48 \\ -12&4 &8 \end{bmatrix}$

$\begin{bmatrix} 20 & 8&48 \\ 12&4 &8 \end{bmatrix}$

Correct answer:

$\begin{bmatrix} -20 & -8&-48 \\ -12&4 &8 \end{bmatrix}$

Explanation:

In order to compute this, we need to multiply each entry by the scalar .

$-4\begin{bmatrix} 5 & 2&12 \\ 3&-1 &-2 \end{bmatrix}=\begin{bmatrix} -4\cdot5 & -4\cdot2&-4\cdot12 \\ -4\cdot3&-4\cdot(-1) &-4\cdot(-2) \end{bmatrix}=\begin{bmatrix} -20 & -8&-48 \\ -12&4 &8 \end{bmatrix}$

Report an Error

Example Question #2 : Multiply Matrices By Scalar: Ccss.Math.Content.Hsn Vm.C.7

Compute

$4\begin{bmatrix} 10 & -4&5 \\ 6&-1 &1 \end{bmatrix}$

Possible Answers:

$\begin{bmatrix} -40 & -16&-20 \\ 24&-4 &4 \end{bmatrix}$

$\begin{bmatrix} 40 & 16&20 \\ 24&4 &4 \end{bmatrix}$

$\begin{bmatrix} 40 & -16&20 \\ 24&4 &4 \end{bmatrix}$

$\begin{bmatrix} 40 & -16&20 \\ 24&-4 &4 \end{bmatrix}$

$\begin{bmatrix} -40 & -16&-20 \\ -24&-4 &-4 \end{bmatrix}$

Correct answer:

$\begin{bmatrix} 40 & -16&20 \\ 24&-4 &4 \end{bmatrix}$

Explanation:

In order to compute this, we need to multiply each entry by the scalar .

$4\begin{bmatrix} 10 & -4&5 \\ 6&-1 &1 \end{bmatrix}=\begin{bmatrix} 4\cdot10 & 4\cdot(-4)&4\cdot5 \\ 4\cdot6&4\cdot(-1) &4\cdot1 \end{bmatrix}=\begin{bmatrix} 40 & -16&20 \\ 24&-4 &4 \end{bmatrix}$

Report an Error

Example Question #2 : Multiply Matrices By Scalar: Ccss.Math.Content.Hsn Vm.C.7

Compute

$14\begin{bmatrix} 17 & -2&3 \\ -5&-1 &2 \end{bmatrix}$

Possible Answers:

$\begin{bmatrix} 238 & -28&42 \\ -70&-14 &28 \end{bmatrix}$

$\begin{bmatrix} 238 & 28&42 \\ 70&14 &28 \end{bmatrix}$

$\begin{bmatrix} 238 & 28&42 \\ -70&-14 &28 \end{bmatrix}$

$\begin{bmatrix} 238 & -28&42 \\ 70&-14 &28 \end{bmatrix}$

$\begin{bmatrix} 238 & 28&42 \\ 70&-14 &28 \end{bmatrix}$

Correct answer:

$\begin{bmatrix} 238 & -28&42 \\ -70&-14 &28 \end{bmatrix}$

Explanation:

In order to compute this, we need to multiply each entry by the scalar .

$14\begin{bmatrix} 17 & -2&3 \\ -5&-1 &2 \end{bmatrix}=\begin{bmatrix} 14\cdot17 & 14\cdot(-2)&14\cdot3 \\ 14\cdot(-5)&14\cdot(-1) &14\cdot2 \end{bmatrix}=\begin{bmatrix} 238 & -28&42 \\ -70&-14 &28 \end{bmatrix}$

Report an Error

Example Question #11 : Multiply Matrices By Scalar: Ccss.Math.Content.Hsn Vm.C.7

Compute

$22\begin{bmatrix} 1 & 1&0 \\ 14&1 &10 \end{bmatrix}$

Possible Answers:

$\begin{bmatrix} 22 & 22&308 \\ 0&22 &220 \end{bmatrix}$

$\begin{bmatrix} 2 & 22&0 \\ 308&22 &220 \end{bmatrix}$

$\begin{bmatrix} 22 & 0&22 \\ 308&22 &220 \end{bmatrix}$

$\begin{bmatrix} 22 & 22&0 \\ 308&22 &220 \end{bmatrix}$

$\begin{bmatrix} 22 & 22&220 \\ 308&22 &0 \end{bmatrix}$

Correct answer:

$\begin{bmatrix} 22 & 22&0 \\ 308&22 &220 \end{bmatrix}$

Explanation:

In order to compute this, we need to multiply each entry by the scalar .

$22\begin{bmatrix} 1 & 1&0 \\ 14&1 &10 \end{bmatrix}=\begin{bmatrix} 22\cdot1 & 22\cdot1&22\cdot0 \\ 22\cdot14&22\cdot1 &22\cdot10 \end{bmatrix}=\begin{bmatrix} 22 & 22&0 \\ 308&22 &220 \end{bmatrix}$

Report an Error

Example Question #12 : Multiply Matrices By Scalar: Ccss.Math.Content.Hsn Vm.C.7

Compute

$25\begin{bmatrix} -4 & 18&11 \\ 8&0 &1 \end{bmatrix}$

Possible Answers:

$\begin{bmatrix} -100 & 45&27\\ 20&0 &25 \end{bmatrix}$

$\begin{bmatrix} 100 & 450&275\\ 200&0 &25 \end{bmatrix}$

$\begin{bmatrix} -100 & -450&275\\ 200&0 &25 \end{bmatrix}$

$\begin{bmatrix} -100 & 450&275\\ 200&0 &25 \end{bmatrix}$

$\begin{bmatrix} -100 & 450&25\\ 200&0 &275 \end{bmatrix}$

Correct answer:

$\begin{bmatrix} -100 & 450&275\\ 200&0 &25 \end{bmatrix}$

Explanation:

In order to compute this, we need to multiply each entry by the scalar .

$25\begin{bmatrix} -4 & 18&11 \\ 8&0 &1 \end{bmatrix}=\begin{bmatrix} 25\cdot(-4) & 25\cdot18&25\cdot11 \\ 25\cdot8&25\cdot0 &-25\cdot1 \end{bmatrix}=\begin{bmatrix} -100 & 450&275\\ 200&0 &25 \end{bmatrix}$

Report an Error

Example Question #1 : Matrices Operations (Add, Subtract, And Multiply): Ccss.Math.Content.Hsn Vm.C.8

Compute the sum of the two matrices.

$\begin{bmatrix} 4 & 10 & -3\\ 7& -11& 4 \end{bmatrix} + \begin{bmatrix} 2&-8 &3 \\ -6&11 & 2 \end{bmatrix}$

Possible Answers:

$\begin{bmatrix} 6&2 &0 \\ 1& 0& 6 \end{bmatrix}$

$\begin{bmatrix} 6&18 &6 \\ 13& -22& 6 \end{bmatrix}$

$\begin{bmatrix} 2&18 &0 \\ 13& 0& 2 \end{bmatrix}$

$\begin{bmatrix} 6&6 &0 \\ 1& 0& 2 \end{bmatrix}$

Not possible

Correct answer:

$\begin{bmatrix} 6&2 &0 \\ 1& 0& 6 \end{bmatrix}$

Explanation:

In order to compute the sum of the two matrices, we need to sum up identical entries. This means we sum up , and , then , and , and etc. The computation in general looks like the following.

$\begin{bmatrix} a_1 & a_2 & a_3\\ b_1& b_2& b_3 \end{bmatrix} + \begin{bmatrix} c_1&c_2 &c_3 \\ d_1&d_2 & d_3 \end{bmatrix}=\begin{bmatrix} a_1+c_1& a_2+c_2 & a_3+c_3 \\ b_1+d_1& b_2+d_2 & b_3+d_3 \end{bmatrix}$

Apply this to our problem to get,

$\begin{bmatrix} 4 & 10 & -3\\ 7& -11& 4 \end{bmatrix} + \begin{bmatrix} 2&-8 &3 \\ -6&11 & 2 \end{bmatrix}=\begin{bmatrix} 4+2& 10+(-8) & -3+3 \\ 7+(-6)& -11+11 & 4+2 \end{bmatrix}$

$=\begin{bmatrix} 6&2 &0 \\ 1& 0& 6 \end{bmatrix}$

Report an Error

Example Question #2 : Matrices Operations (Add, Subtract, And Multiply): Ccss.Math.Content.Hsn Vm.C.8

Compute the sum of the two matrices.

$\begin{bmatrix} -2 & -3 & -3\\ -1& 6& 6 \end{bmatrix} + \begin{bmatrix} 2&2 &4 \\ 7&-11 & 7 \end{bmatrix}$

Possible Answers:

$\begin{bmatrix} 0&-1 &1 \\ 6& 5& 13 \end{bmatrix}$

$\begin{bmatrix} 0&-1 &1 \\ 6& -5& 13 \end{bmatrix}$

$\begin{bmatrix} 0&1 &1 \\ 6& -5& 13 \end{bmatrix}$

$\begin{bmatrix} 2&1 &1 \\ 6& -5& 13 \end{bmatrix}$

$\begin{bmatrix} 0&-1 &1 \\ 6& -5& -13 \end{bmatrix}$

Correct answer:

$\begin{bmatrix} 0&-1 &1 \\ 6& -5& 13 \end{bmatrix}$

Explanation:

In order to compute the sum of the two matrices, we need to sum up identical entries. This means we sum up , and , then , and , and etc. The computation in general looks like the following.

Apply this to our problem to get,

$\begin{bmatrix} -2 & -3 & -3\\ -1& 6& 6 \end{bmatrix} + \begin{bmatrix} 2&2 &4 \\ 7&-11 & 7 \end{bmatrix}=\begin{bmatrix} (-2)+2& (-3)+2 & (-3)+4 \\ (-1)+7& 6+(-11) & 6+7 \end{bmatrix}$

$=\begin{bmatrix} 0&-1 &1 \\ 6& -5& 13 \end{bmatrix}$

Report an Error

Example Question #3 : Matrices Operations (Add, Subtract, And Multiply): Ccss.Math.Content.Hsn Vm.C.8

Compute the sum of the two matrices.

$\begin{bmatrix} -2 & -4 & 6\\ 5& -1& 2 \end{bmatrix} + \begin{bmatrix} -6&7 &0 \\ -5&-7 & 4 \end{bmatrix}$

Possible Answers:

$\begin{bmatrix} 8&3 &6 \\ 0& 8& 6 \end{bmatrix}$

$\begin{bmatrix} -8&3 &6 \\ 0& 8& 6 \end{bmatrix}$

$\begin{bmatrix} -8&3 &6 \\ 0& -8& 6 \end{bmatrix}$

$\begin{bmatrix} -8&3 &-6 \\ 0& -8& -6 \end{bmatrix}$

$\begin{bmatrix} -8&-3 &6 \\ 0& -8& -6 \end{bmatrix}$

Correct answer:

$\begin{bmatrix} -8&3 &6 \\ 0& -8& 6 \end{bmatrix}$

Explanation:

In order to compute the sum of the two matrices, we need to sum up identical entries. This means we sum up , and , then , and , and etc. The computation in general looks like the following.

Apply this to our problem to get,

$\begin{bmatrix} -2 & -4 & 6\\ 5& -1& 2 \end{bmatrix} + \begin{bmatrix} -6&7 &0 \\ -5&-7 & 4 \end{bmatrix}=\begin{bmatrix} (-2)+(-6)& (-4)+7 & 6+0 \\ 5+(-5)& (-1)+(-7) & 2+4 \end{bmatrix}$

$=\begin{bmatrix} -8&3 &6 \\ 0& -8& 6 \end{bmatrix}$

Report an Error

Example Question #4 : Matrices Operations (Add, Subtract, And Multiply): Ccss.Math.Content.Hsn Vm.C.8

Compute the sum of the two matrices.

$\begin{bmatrix} 7 & -1 & 3\\ 3& -3& 2 \end{bmatrix} + \begin{bmatrix} 1&7 &0 \\ -2&5 & 2 \end{bmatrix}$

Possible Answers:

$\begin{bmatrix} 1&2 &3 \\ 8& 6& 4 \end{bmatrix}$

$\begin{bmatrix} 8&6 &3 \\ 1& 2& 4 \end{bmatrix}$

$\begin{bmatrix} 8&6 &-3 \\ -1& 2& 4 \end{bmatrix}$

$\begin{bmatrix} 8&-6 &3 \\ 1& 2& 0 \end{bmatrix}$

$\begin{bmatrix} 8&2 &3 \\ 1& 6& 4 \end{bmatrix}$

Correct answer:

$\begin{bmatrix} 8&6 &3 \\ 1& 2& 4 \end{bmatrix}$

Explanation:

In order to compute the sum of the two matrices, we need to sum up identical entries. This means we sum up , and , then , and , and etc. The computation in general looks like the following.

Apply this to our problem to get,

$\begin{bmatrix} 7 & -1 & 3\\ 3& -3& 2 \end{bmatrix} + \begin{bmatrix} 1&7 &0 \\ -2&5 & 2 \end{bmatrix}=\begin{bmatrix} 7+1& (-1)+7 & 3+0 \\ 3+(-2)& (-3)+5 & 2+2 \end{bmatrix}$

$=\begin{bmatrix} 8&6 &3 \\ 1& 2& 4 \end{bmatrix}$

Report an Error

View Tutors

Anjali
Certified Tutor

Delhi University, Bachelor of Science, Physics. Kumuan University, Master of Science, Physics.

View Tutors

Joanna
Certified Tutor

Texas Christian University, Bachelor of Education, English.

View Tutors

Abhisek
Certified Tutor

University of Florida, Bachelor of Engineering, Computer Science.

All Common Core: High School - Number and Quantity Resources

6 Diagnostic Tests 49 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

ACT Tutors in Houston, SAT Tutors in Denver, ISEE Tutors in Los Angeles, ACT Tutors in San Francisco-Bay Area, Biology Tutors in Washington DC, Chemistry Tutors in Houston, SSAT Tutors in Boston, MCAT Tutors in Phoenix, Statistics Tutors in Chicago, Biology Tutors in Dallas Fort Worth

Popular Courses & Classes

ACT Courses & Classes in Philadelphia, GRE Courses & Classes in Chicago, SSAT Courses & Classes in New York City, ACT Courses & Classes in Chicago, SSAT Courses & Classes in Boston, GRE Courses & Classes in Washington DC, GMAT Courses & Classes in Miami, LSAT Courses & Classes in Los Angeles, Spanish Courses & Classes in New York City, ACT Courses & Classes in Seattle

Popular Test Prep

ACT Test Prep in Chicago, SSAT Test Prep in Dallas Fort Worth, SSAT Test Prep in Philadelphia, SAT Test Prep in Miami, SAT Test Prep in Seattle, ISEE Test Prep in Miami, ACT Test Prep in Seattle, GRE Test Prep in San Diego, GMAT Test Prep in San Diego, LSAT Test Prep in Denver

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

Common Core: High School - Number and Quantity : High School: Number and Quantity

Study concepts, example questions & explanations for Common Core: High School - Number and Quantity

All Common Core: High School - Number and Quantity Resources

Example Questions

Example Question #1 : Multiply Matrices By Scalar: Ccss.Math.Content.Hsn Vm.C.7

Example Question #7 : Multiply Matrices By Scalar: Ccss.Math.Content.Hsn Vm.C.7

Example Question #2 : Multiply Matrices By Scalar: Ccss.Math.Content.Hsn Vm.C.7

Example Question #2 : Multiply Matrices By Scalar: Ccss.Math.Content.Hsn Vm.C.7

Example Question #11 : Multiply Matrices By Scalar: Ccss.Math.Content.Hsn Vm.C.7

Example Question #12 : Multiply Matrices By Scalar: Ccss.Math.Content.Hsn Vm.C.7

Example Question #1 : Matrices Operations (Add, Subtract, And Multiply): Ccss.Math.Content.Hsn Vm.C.8

Example Question #2 : Matrices Operations (Add, Subtract, And Multiply): Ccss.Math.Content.Hsn Vm.C.8

Example Question #3 : Matrices Operations (Add, Subtract, And Multiply): Ccss.Math.Content.Hsn Vm.C.8

Example Question #4 : Matrices Operations (Add, Subtract, And Multiply): Ccss.Math.Content.Hsn Vm.C.8

All Common Core: High School - Number and Quantity Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: