Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: High School - Algebra : High School: Algebra

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 #174 : Reasoning With Equations & Inequalities

Where do the following equations intersect?

y = - 43 x - 14

y = 27 x - 8

Possible Answers:

$\left( \frac{29}{35} , - \frac{361}{35} \right)$

$\left( - \frac{43}{27} , - \frac{361}{35} \right)$

$\left( \frac{29}{35} , -38 \right)$

$\left( \frac{29}{35} , - \frac{493}{35} \right)$

$\left( - \frac{3}{35} , - \frac{361}{35} \right)$

Correct answer:

$\left( - \frac{3}{35} , - \frac{361}{35} \right)$

Explanation:

To figure out where these equations intersect, we need to set them equal to each other and solve for $\uptext{x}$ .

- 43 x - 14 = 27 x - 8

Now we add to each side.

- 43 x = 27 x + 6

Now we subtract 27 x from each side.

- 70 x = 6

Now we divide by on each side.

$x = - \frac{3}{35}$

Now we simply plug this $\uptext{x}$ value into one of the equations to get the $\uptext{y}$ value.

$y = -43 \cdot - \frac{3}{35} -14$

$y = \frac{129}{35} -14$

$y = - \frac{361}{35}$

Report an Error

Example Question #175 : Reasoning With Equations & Inequalities

Where do the following equations intersect?

y = - 8 x - 43

y = - 7 x + 26

Possible Answers:

$\left( -69 , 509 \right)$

$\left( \frac{35}{33} , -32 \right)$

$\left( \frac{35}{33} , 509 \right)$

$\left( \frac{8}{7} , 509 \right)$

$\left( \frac{35}{33} , -112 \right)$

Correct answer:

$\left( -69 , 509 \right)$

Explanation:

To figure out where these equations intersect, we need to set them equal to each other and solve for $\uptext{x}$ .

- 8 x - 43 = - 7 x + 26

Now we add to each side.

- 8 x = - 7 x + 69

Now we add 7 x to each side.

- x = 69

Now we divide by on each side.

x = -69

Now we simply plug this $\uptext{x}$ value into one of the equations to get the $\uptext{y}$ value.

$y = -8 \cdot -69 -43$

y = 552 -43

y = 509

Report an Error

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

Possible Answers:

Yes

Correct answer:

Explanation:

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

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

$720 \geq 10 \cdot 1207269217792$

$720 \geq 12072692177920$

Since 720 is not greater than or equal to 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 $\left( 1 , -965 \right)$ included in the inequality $y \geq - 33 x^{6}?$

Possible Answers:

Yes

Correct answer:

Explanation:

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

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

$-965 \geq -33 \cdot 1$

$-965 \geq -33$

Since is not greater than or equal to 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 $\left( 42 , -318 \right)$ included in the inequality $y \geq 30 x^{4}?$

Possible Answers:

Yes

Correct answer:

Explanation:

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

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

$-318 \geq 30 \cdot 3111696$

$-318 \geq 93350880$

Since is not greater than or equal to 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 $\left( 9 , -705 \right)$ included in the inequality $y \geq 17 x^{11}?$

Possible Answers:

Yes

Correct answer:

Explanation:

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

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

$-705 \geq 17 \cdot 31381059609$

$-705 \geq 533478013353$

Since is not greater than or equal to 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 $\left( 37 , -448 \right)$ included in the inequality $y \geq 3 x^{7}?$

Possible Answers:

Yes

Correct answer:

Explanation:

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

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

$-448 \geq 3 \cdot 94931877133$

$-448 \geq 284795631399$

Since is not greater than or equal to 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 $\left( 10 , 297 \right)$ included in the inequality $y \geq 7 x^{11}?$

Possible Answers:

Yes

Correct answer:

Explanation:

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

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

$297 \geq 7 \cdot 100000000000$

$297 \geq 700000000000$

Since 297 is not greater than or equal to 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 $\left( 3 , 731 \right)$ included in the inequality $y \geq 12 x^{6}?$

Possible Answers:

Yes

Correct answer:

Explanation:

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

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

$731 \geq 12 \cdot 729$

$731 \geq 8748$

Since 731 is not greater than 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 $\left( 9 , 405 \right)$ included in the inequality $y \geq - 33 x^{11}?$

Possible Answers:

Yes

Correct answer:

Yes

Explanation:

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

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

$405 \geq -33 \cdot 31381059609$

$405 \geq -1035574967097$

Since 405 is greater than the point is included in the inequality.

Report an Error

View Tutors

Elizabeth
Certified Tutor

University of Oklahoma Norman Campus, Bachelor of Education, Education. University of Oklahoma Norman Campus, Master of Scien...

View Tutors

Kenneth
Certified Tutor

North Carolina State University at Raleigh, Bachelor in Arts, Anthropology.

View Tutors

Leah
Certified Tutor

Kennesaw State University, Bachelor of Science, Business, General.

All Common Core: High School - Algebra Resources

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

Popular Subjects

Computer Science Tutors in Philadelphia, MCAT Tutors in Washington DC, Chemistry Tutors in Washington DC, Biology Tutors in Atlanta, Statistics Tutors in Denver, Reading Tutors in Philadelphia, Calculus Tutors in Philadelphia, Algebra Tutors in Phoenix, ISEE Tutors in Seattle, Computer Science Tutors in Washington DC

Popular Courses & Classes

ISEE Courses & Classes in Washington DC, GRE Courses & Classes in Seattle, LSAT Courses & Classes in San Diego, GRE Courses & Classes in New York City, LSAT Courses & Classes in Boston, Spanish Courses & Classes in New York City, ISEE Courses & Classes in Chicago, GRE Courses & Classes in Houston, LSAT Courses & Classes in Miami, ISEE Courses & Classes in Boston

Popular Test Prep

ACT Test Prep in Boston, SAT Test Prep in Chicago, ACT Test Prep in Washington DC, GRE Test Prep in Seattle, GMAT Test Prep in Philadelphia, MCAT Test Prep in Dallas Fort Worth, SAT Test Prep in San Francisco-Bay Area, MCAT Test Prep in Chicago, LSAT Test Prep in Miami, MCAT Test Prep in San Francisco-Bay Area

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 : High School: Algebra

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

All Common Core: High School - Algebra Resources

Example Questions

Example Question #174 : Reasoning With Equations & Inequalities

Example Question #175 : Reasoning With Equations & Inequalities

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

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: