Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: High School - Algebra : Graph Two Variable Linear Equations and System of Linear Equations as a Half Plane: CCSS.Math.Content.HSA-REI.D.12

Study concepts, example questions & explanations for Common Core: High School - Algebra

Create An Account

All Common Core: High School - Algebra Resources

8 Diagnostic Tests 97 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left( 22 , 720 \right)$ $\displaystyle \left( 22 , 720 \right)$ included in the inequality $y \geq 10 x^{9}?$ $\displaystyle y \geq 10 x^{9}?$

Possible Answers:

Yes

Correct answer:

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ $\displaystyle \uptext{x}$ and $\displaystyle y$ values.

$720 \geq 10 \cdot 22 ^{9}$ $\displaystyle 720 \geq 10 \cdot 22 ^{9}$

$720 \geq 10 \cdot 1207269217792$ $\displaystyle 720 \geq 10 \cdot 1207269217792$

$720 \geq 12072692177920$ $\displaystyle 720 \geq 12072692177920$

Since 720 $\displaystyle 720$ is not greater than or equal to $\displaystyle 12072692177920$ the point is not included in the inequality.

Report an Error

Example Question #2 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left( 1 , -965 \right)$ $\displaystyle \left( 1 , -965 \right)$ included in the inequality $y \geq - 33 x^{6}?$ $\displaystyle y \geq - 33 x^{6}?$

Possible Answers:

Yes

Correct answer:

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ $\displaystyle \uptext{x}$ and $\displaystyle y$ values.

$-965 \geq -33 \cdot 1 ^{6}$ $\displaystyle -965 \geq -33 \cdot 1 ^{6}$

$-965 \geq -33 \cdot 1$ $\displaystyle -965 \geq -33 \cdot 1$

$-965 \geq -33$ $\displaystyle -965 \geq -33$

Since $\displaystyle -965$ is not greater than or equal to $\displaystyle -33$ the point is not included in the inequality.

Report an Error

Example Question #3 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left( 42 , -318 \right)$ $\displaystyle \left( 42 , -318 \right)$ included in the inequality $y \geq 30 x^{4}?$ $\displaystyle y \geq 30 x^{4}?$

Possible Answers:

Yes

Correct answer:

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ $\displaystyle \uptext{x}$ and $\displaystyle y$ values.

$-318 \geq 30 \cdot 42 ^{ 4 }$ $\displaystyle -318 \geq 30 \cdot 42 ^{ 4 }$

$-318 \geq 30 \cdot 3111696$ $\displaystyle -318 \geq 30 \cdot 3111696$

$-318 \geq 93350880$ $\displaystyle -318 \geq 93350880$

Since $\displaystyle -318$ is not greater than or equal to $\displaystyle 93350880$ the point is not included in the inequality.

Report an Error

Example Question #4 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left( 9 , -705 \right)$ $\displaystyle \left( 9 , -705 \right)$ included in the inequality $y \geq 17 x^{11}?$ $\displaystyle y \geq 17 x^{11}?$

Possible Answers:

Yes

Correct answer:

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ $\displaystyle \uptext{x}$ and $\displaystyle y$ values.

$-705 \geq 17 \cdot 9 ^{ 11 }$ $\displaystyle -705 \geq 17 \cdot 9 ^{ 11 }$

$-705 \geq 17 \cdot 31381059609$ $\displaystyle -705 \geq 17 \cdot 31381059609$

$-705 \geq 533478013353$ $\displaystyle -705 \geq 533478013353$

Since $\displaystyle -705$ is not greater than or equal to $\displaystyle 533478013353$ the point is not included in the inequality.

Report an Error

Example Question #5 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left( 37 , -448 \right)$ $\displaystyle \left( 37 , -448 \right)$ included in the inequality $y \geq 3 x^{7}?$ $\displaystyle y \geq 3 x^{7}?$

Possible Answers:

Yes

Correct answer:

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ $\displaystyle \uptext{x}$ and $\displaystyle y$ values.

$-448 \geq 3 \cdot 37 ^{ 7 }$ $\displaystyle -448 \geq 3 \cdot 37 ^{ 7 }$

$-448 \geq 3 \cdot 94931877133$ $\displaystyle -448 \geq 3 \cdot 94931877133$

$-448 \geq 284795631399$ $\displaystyle -448 \geq 284795631399$

Since $\displaystyle -448$ is not greater than or equal to $\displaystyle 284795631399$ the point is not included in the inequality.

Report an Error

Example Question #6 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left( 10 , 297 \right)$ $\displaystyle \left( 10 , 297 \right)$ included in the inequality $y \geq 7 x^{11}?$ $\displaystyle y \geq 7 x^{11}?$

Possible Answers:

Yes

Correct answer:

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ $\displaystyle \uptext{x}$ and $\uptext{y}$ $\displaystyle \uptext{y}$ value.

$297 \geq 7 \cdot 10 ^{ 11 }$ $\displaystyle 297 \geq 7 \cdot 10 ^{ 11 }$

$297 \geq 7 \cdot 100000000000$ $\displaystyle 297 \geq 7 \cdot 100000000000$

$297 \geq 700000000000$ $\displaystyle 297 \geq 700000000000$

Since 297 $\displaystyle 297$ is not greater than or equal to $\displaystyle 700000000000$ the point is not included in the inequality.

Report an Error

Example Question #7 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left( 3 , 731 \right)$ $\displaystyle \left( 3 , 731 \right)$ included in the inequality $y \geq 12 x^{6}?$ $\displaystyle y \geq 12 x^{6}?$

Possible Answers:

Yes

Correct answer:

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x$ $\displaystyle \uptext{x$ and $\displaystyle y$ values.

$731 \geq 12 \cdot 3 ^{ 6 }$ $\displaystyle 731 \geq 12 \cdot 3 ^{ 6 }$

$731 \geq 12 \cdot 729$ $\displaystyle 731 \geq 12 \cdot 729$

$731 \geq 8748$ $\displaystyle 731 \geq 8748$

Since 731 is not greater than 8748 $\displaystyle 8748$ the point is not included in the inequality.

Report an Error

Example Question #8 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left( 9 , 405 \right)$ $\displaystyle \left( 9 , 405 \right)$ included in the inequality $y \geq - 33 x^{11}?$ $\displaystyle y \geq - 33 x^{11}?$

Possible Answers:

Yes

Correct answer:

Yes

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ $\displaystyle \uptext{x}$ and $\displaystyle y$ values.

$405 \geq -33 \cdot 9 ^{ 11 }$ $\displaystyle 405 \geq -33 \cdot 9 ^{ 11 }$

$405 \geq -33 \cdot 31381059609$ $\displaystyle 405 \geq -33 \cdot 31381059609$

$405 \geq -1035574967097$ $\displaystyle 405 \geq -1035574967097$

Since 405 $\displaystyle 405$ is greater than $\displaystyle -1035574967097$ the point is included in the inequality.

Report an Error

Example Question #9 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left( 37 , -112 \right)$ $\displaystyle \left( 37 , -112 \right)$ included in the inequality $y \geq - 3 x^{3}?$ $\displaystyle y \geq - 3 x^{3}?$

Possible Answers:

Yes

Correct answer:

Yes

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ $\displaystyle \uptext{x}$ and $\displaystyle y$ values.

$-112 \geq -3 \cdot 37 ^{ 3 }$ $\displaystyle -112 \geq -3 \cdot 37 ^{ 3 }$

$-112 \geq -3 \cdot 50653$ $\displaystyle -112 \geq -3 \cdot 50653$

$-112 \geq -151959$ $\displaystyle -112 \geq -151959$

Since $\displaystyle -112$ is greater than $\displaystyle -151959$ the point is included in the inequality.

Report an Error

Example Question #10 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Is the point $\left( 6 , -393 \right)$ $\displaystyle \left( 6 , -393 \right)$ included in the inequality $y \geq 26 x^{11}?$ $\displaystyle y \geq 26 x^{11}?$

Possible Answers:

Yes

Correct answer:

Explanation:

To see if the point is included in the inequality, we need to plug in the $\uptext{x}$ $\displaystyle \uptext{x}$ and $\displaystyle y$ values.

$-393 \geq 26 \cdot 6 ^{ 11 }$ $\displaystyle -393 \geq 26 \cdot 6 ^{ 11 }$

$-393 \geq 26 \cdot 362797056$ $\displaystyle -393 \geq 26 \cdot 362797056$

$-393 \geq 9432723456$ $\displaystyle -393 \geq 9432723456$

Since $\displaystyle -393$ is not greater than or equal to $\displaystyle 9432723456$ the point is not included in the inequality.

Report an Error

View Tutors

Therar
Certified Tutor

Beirut Arab University, Doctor of Philosophy, Mathematics. Saint Joseph University of Beirut, Master of Science, Counselor Ed...

View Tutors

Christy
Certified Tutor

York University, Bachelor in Arts, Psychology.

View Tutors

Alexandra
Certified Tutor

The University of Texas at Dallas, Bachelors, Theatre Arts.

All Common Core: High School - Algebra Resources

8 Diagnostic Tests 97 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Physics Tutors in New York City, Math Tutors in Boston, Math Tutors in Miami, SSAT Tutors in New York City, French Tutors in Phoenix, SAT Tutors in San Diego, Calculus Tutors in Los Angeles, ISEE Tutors in San Diego, Biology Tutors in San Francisco-Bay Area, Calculus Tutors in Philadelphia

Popular Courses & Classes

ISEE Courses & Classes in New York City, GMAT Courses & Classes in Washington DC, ISEE Courses & Classes in Miami, LSAT Courses & Classes in Boston, Spanish Courses & Classes in Chicago, GMAT Courses & Classes in Denver, Spanish Courses & Classes in Los Angeles, GRE Courses & Classes in San Diego, Spanish Courses & Classes in Philadelphia, ISEE Courses & Classes in Seattle

Popular Test Prep

SSAT Test Prep in Seattle, GRE Test Prep in Dallas Fort Worth, MCAT Test Prep in Phoenix, ISEE Test Prep in Chicago, SAT Test Prep in New York City, SAT Test Prep in Atlanta, LSAT Test Prep in Denver, LSAT Test Prep in Chicago, MCAT Test Prep in Los Angeles, MCAT Test Prep in Seattle

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 - Algebra : Graph Two Variable Linear Equations and System of Linear Equations as a Half Plane: CCSS.Math.Content.HSA-REI.D.12

Study concepts, example questions & explanations for Common Core: High School - Algebra

All Common Core: High School - Algebra Resources

Example Questions

Example Question #1 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #2 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #3 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #4 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #5 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #6 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #7 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #8 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #9 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

Example Question #10 : Graph Two Variable Linear Equations And System Of Linear Equations As A Half Plane: Ccss.Math.Content.Hsa Rei.D.12

All Common Core: High School - Algebra Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: