We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : Functions and Lines

Study concepts, example questions & explanations for Algebra 1

Create An Account

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #18 : Points And Distance Formula

$\small (20,38)(16,28)$

Find the length of the line between the two points provided using the distance formula.

Possible Answers:

$\small \sqrt {116}$

$\small \sqrt {12}$

$\small \sqrt {39}$

$\small \sqrt {189}$

Correct answer:

$\small \sqrt {116}$

Explanation:

It is definately possible to find the distance from point A to point B, given the coordinates:

$\small (20,38)(16,28)$ .

We can do this by using the formula:

$\small d=\small \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$ .

The points provided can be plugged into this formula as follows:

$\\ \small d=\small \sqrt{(20-16)^{2}+(38-28)^{2}} \\ \\= \sqrt{4^{2}+(10)^{2}} \\ \\= \sqrt{16+100} \\ \\= \sqrt {116}$ .

This is the length.

Report an Error

Example Question #19 : Points And Distance Formula

$\small (10,4)(14,9)$

Find the length of the line between the two points provided using the distance formula.

Possible Answers:

$\small \sqrt {41}$

$\small \sqrt {10}$

$\small \sqrt {49}$

$\small \sqrt {44}$

Correct answer:

$\small \sqrt {41}$

Explanation:

It is definately possible to find the distance from point A to point B, given the coordinate:

$\small (10,4)(14,9)$

We can do this by using the formula:

$\small d=\small \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$ .

The points provided can be plugged into this formula as follows:

$\\ \small d=\small \sqrt{(14-10)^{2}+(9-4)^{2}} \\ \\= \sqrt{4^{2}+5^{2}} \\ \\= \sqrt{16+25}\\ \\ = \sqrt {41}$ .

This is the length.

Report an Error

Example Question #20 : Points And Distance Formula

You have to walk from the grocery store north blocks then west blocks. How far will you be from your original position? (1 block=0.25 miles)

Possible Answers:

$2\ miles$

$7\ miles$

$1.95\ miles$

$15.25\ miles$

$4\ miles$

Correct answer:

$1.95\ miles$

Explanation:

If the student is a visual learner they could draw out a journey of 5 units north then 6 units west. To find the distance between the original and final points they could draw a line connecting the two.

This would ultimately create a right triangle. To find the final distance you could use the Pythagorean Theorem. The longest side length is opposite of the largest angle, which is degrees.

a^2+b^2=c^2

5^2+6^2=c^2

c^2=61

$\sqrt{61}=7.81$ blocks

But the answer must be in the format of distance in miles. So we convert blocks to miles.

$\frac{1block}{0.25 miles}=\frac{7.81blocks}{x miles}$

$x \cdot 1 = 0.25 \cdot 7.81$

x=1.95 miles

Report an Error

Example Question #3881 : Algebra 1

A line segment stretches from (1,2) to (6,3) . What is the exact distance of this line?

Possible Answers:

$\sqrt{26}$

5.2

$\sqrt{27}$

5.1

None of these answers.

Correct answer:

$\sqrt{26}$

Explanation:

We can find the exact distance between two points by using the distance formula: $D=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$ .

$D=\sqrt{(6-1)^2+(3-2)^2}$

$D=\sqrt{(5)^2+(1)^2}$

$D=\sqrt{26}$

Report an Error

Example Question #3882 : Algebra 1

Find the length of the line connecting the following two points. Simplify your answer.

(2,1) and (12,6)

Possible Answers:

$4\sqrt{5}$

$5\sqrt{5}$

$\sqrt{123}$

$\sqrt{127}$

Correct answer:

$5\sqrt{5}$

Explanation:

To solve this problem we need to remember the distance formula for points on a coordinate plane:

$d=\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2}}$

In this case, (x_1,y_1)=(12,6) and (x_2,y_2)=(2,1)

$d=\sqrt{(12-2)^{2}+(6-1)^{2}}$

$d=\sqrt{10^{2}+5^{2}}$

$d=\sqrt{100+25}=\sqrt{125}=5\sqrt{5}$

Report an Error

Example Question #3891 : Algebra 1

Find the length of the line connecting the following two points. Simplify your answer.

(10,2) and (5,6)

Possible Answers:

$\sqrt{40}$

$\sqrt{43}$

$\sqrt{42}$

$\sqrt{41}$

Correct answer:

$\sqrt{41}$

Explanation:

To solve this problem we need to remember the distance formula for points on a coordinate plane:

$d=\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2}}$

In this case, (x_1,y_1)=(10,2) and (x_2,y_2)=(5,6)

$d=\sqrt{(10-5)^{2}+(2-6)^{2}}$

$d=\sqrt{5^{2}+(-4)^{2}}$

$d=\sqrt{25+16}=\sqrt{41}$

Report an Error

Example Question #3892 : Algebra 1

Find the length of the line connecting the following two points. Simplify your answer.

(13,15) and (6,3)

Possible Answers:

$\sqrt{189}$

$\sqrt{193}$

$\sqrt{191}$

Correct answer:

$\sqrt{193}$

Explanation:

To solve this problem we need to remember the distance formula for points on a coordinate plane:

$d=\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2}}$

In this case, (x_1,y_1)=(13,15) and (x_2,y_2)=(6,3)

$d=\sqrt{(13-6)^{2}+(15-3)^{2}}$

$d=\sqrt{7^{2}+12^{2}}$

$d=\sqrt{49+144}=\sqrt{193}$

Report an Error

Example Question #3893 : Algebra 1

Find the length of the line connecting the following two points. Simplify your answer.

(-2,-1) and (1,-3)

Possible Answers:

$\sqrt{14}$

$2\sqrt{3}$

$\sqrt{13}$

Correct answer:

$\sqrt{13}$

Explanation:

To solve this problem we need to remember the distance formula for points on a coordinate plane:

$d=\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2}}$

In this case, (x_1,y_1)=(1,-3) and (x_2,y_2)=(-2,-1)

$d=\sqrt{(1-(-2))^{2}+(-3-(-1))^{2}}$

$d=\sqrt{3^{2}+(-2)^{2}}$

$d=\sqrt{9+4}=\sqrt{13}$

Report an Error

Example Question #3894 : Algebra 1

Find the length of the line connecting the following two points. Simplify your answer.

(-5,-3) and (1,-2)

Possible Answers:

$\sqrt{35}$

$\sqrt{39}$

$\sqrt{37}$

Correct answer:

$\sqrt{37}$

Explanation:

To solve this problem we need to remember the distance formula for points on a coordinate plane:

$d=\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2}}$

In this case, (x_1,y_1)=(1,-2) and (x_2,y_2)=(-5,-3)

$d=\sqrt{(1-(-5))^{2}+(-2-(-3))^{2}}$

$d=\sqrt{6^{2}+1^{2}}$

$d=\sqrt{36+1}=\sqrt{37}$

Report an Error

Example Question #3895 : Algebra 1

Find the length of the line connecting the following two points. Simplify your answer.

(-3,-2) and (2,3)

Possible Answers:

$5\sqrt{5}$

$\sqrt{51}$

$5\sqrt{2}$

Correct answer:

$5\sqrt{2}$

Explanation:

To solve this problem we need to remember the distance formula for points on a coordinate plane:

$d=\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2}}$

In this case, (x_1,y_1)=(-3,-2) and (x_2,y_2)=(2,3)

$d=\sqrt{(2-(-3))^{2}+(3-(-2))^{2}}$

$d=\sqrt{5^{2}+5^{2}}$

$d=\sqrt{25+25}=\sqrt{50}=5\sqrt{2}$

Report an Error

View Algebra Tutors

Justin
Certified Tutor

Vanderbilt University, Bachelor, Computer Science, Mathematics, & Philosophy.

View Algebra Tutors

John
Certified Tutor

Arizona State University, Bachelor of Science, Microbiology.

View Algebra Tutors

Mehak
Certified Tutor

Guru Nanak Dev University, Bachelor of Science, Chemistry. Guru Nanak Dev University, Master of Science, Chemistry.

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Computer Science Tutors in New York City, Math Tutors in Miami, Reading Tutors in Philadelphia, ACT Tutors in San Francisco-Bay Area, MCAT Tutors in Boston, Biology Tutors in Miami, ACT Tutors in Washington DC, Calculus Tutors in Atlanta, MCAT Tutors in Dallas Fort Worth, MCAT Tutors in Miami

Popular Courses & Classes

LSAT Courses & Classes in Boston, SSAT Courses & Classes in Philadelphia, GMAT Courses & Classes in Houston, GRE Courses & Classes in Houston, SAT Courses & Classes in San Diego, ISEE Courses & Classes in Washington DC, GMAT Courses & Classes in Atlanta, SAT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Boston, SAT Courses & Classes in Phoenix

Popular Test Prep

GMAT Test Prep in Phoenix, SAT Test Prep in Dallas Fort Worth, SAT Test Prep in Seattle, ISEE Test Prep in Dallas Fort Worth, SSAT Test Prep in Miami, SAT Test Prep in San Francisco-Bay Area, MCAT Test Prep in Miami, GMAT Test Prep in Houston, ACT Test Prep in San Francisco-Bay Area, GMAT Test Prep in Atlanta

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

Algebra 1 : Functions and Lines

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #18 : Points And Distance Formula

Example Question #19 : Points And Distance Formula

Example Question #20 : Points And Distance Formula

Example Question #3881 : Algebra 1

Example Question #3882 : Algebra 1

Example Question #3891 : Algebra 1

Example Question #3892 : Algebra 1

Example Question #3893 : Algebra 1

Example Question #3894 : Algebra 1

Example Question #3895 : Algebra 1

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: