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 #15 : How To Find The Midpoint Of A Line Segment

Find the midpoint of the line segment with endpoints (1.6, 7.3) and ( -1.4, 4.7) .

Possible Answers:

(0.1, 6)

$\left ( 4.45, 1.65\right )$

$\left ( 6, 0.1\right )$

(-1.5,-6)

(1.5, 6)

Correct answer:

(0.1, 6)

Explanation:

Use the midpoint formula:

$\left ( \frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}} \right )$

Substitute:

$\frac{x_{1}+x_{2}}{2} =\frac{1.6+(-1.4)}{2} = \frac{0.2}{2} = 0.1$

$\frac{y_{1}+y_{2}}{2}} \right = \frac{7.3+4.7)}{2}} = \frac{12}{2} = 6$

The midpoint is (0.1, 6)

Report an Error

Example Question #16 : How To Find The Midpoint Of A Line Segment

Find the midpoint of the line segment with endpoints $\left ( \frac{1}{3}, \frac{5}{6} \right )$ and $\left ( -\frac{5}{6},\frac{2}{3} \right )$ .

Possible Answers:

$\left ( -\frac{7 }{12}, \frac{1 }{12} \right )$

$\left ( \frac{1 }{4}, \frac{3 }{4} \right )$

$\left ( \frac{7 }{12}, -\frac{1 }{12} \right )$

$\left ( -\frac{1 }{4}, \frac{3 }{4} \right )$

$\left ( -\frac{1 }{2}, \frac{3 }{2} \right )$

Correct answer:

$\left ( -\frac{1 }{4}, \frac{3 }{4} \right )$

Explanation:

Use the midpoint formula:

$\left ( \frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}} \right )$

Substitute:

$\frac{x_{1}+x_{2}}{2} = \frac{ \frac{1}{3} + \left (-\frac{5}{6} \right )}{2}= \frac{ \frac{2}{6} - \frac{5}{6} }{2}= \frac{-\frac{3}{6}}{2}= \frac{-\frac{1}{2}}{2} = -\frac{1}{2} \div 2 = -\frac{1}{2} \cdot\frac{1}{2} =-\frac{1}{4}$

$\frac{y_{1}+y_{2}}{2} = \frac{ \frac{5}{6} + \frac{2}{3}}{2} = \frac{ \frac{5}{6} + \frac{4}{6}}{2} = \frac{ \frac{9}{6} }{2}= \frac{ \frac{3}{2} }{2} = \frac{3}{2} \div 2 = \frac{3}{2} \cdot \frac{1}{2} = \frac{3}{4}$

The midpoint is $\left ( -\frac{1 }{4}, \frac{3 }{4} \right )$ .

Report an Error

Example Question #12 : How To Find The Midpoint Of A Line Segment

What is the midpoint of a line with endpoints of (9,-3) and (-1,5) ?

Possible Answers:

(1,4)

(4,-1)

(4,1)

(-4,-1)

(-1,4)

Correct answer:

(4,1)

Explanation:

To find the midpoint, you can use the midpoint formula: $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$ .

Plug in (9,-3) and (-1, 5) into the formula: $(\frac{9+-1}{2},\frac{-3+5}{2})$ to get (4,1) .

Report an Error

Example Question #18 : How To Find The Midpoint Of A Line Segment

Find the midpoint of the line segment with endpoints (3.6, 9.1) and (7.2, -1.5) .

Possible Answers:

(5.4, 3.8)

$\left (-1.8, 5.3 \right )$

(3.8, 5.4)

$\left (1.8, -5.3 \right )$

$\left (6.35, 2.85 \right )$

$\left (1.8, -5.3 \right )$

$\left (-1.8, 5.3 \right )$

Correct answer:

(5.4, 3.8)

Explanation:

Use the midpoint formula:

$\left ( \frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}} \right )$

Substitute:

$\frac{x_{1}+x_{2}}{2} =\frac{3.6+7.2}{2} = \frac{10.8}{2} = 5.4$

$\frac{y_{1}+y_{2}}{2}} \right = \frac{9.1+(-1.5)}{2}} = \frac{7.6}{2} = 3.8$

The midpoint is (5.4, 3.8)

Report an Error

Example Question #12 : How To Find The Midpoint Of A Line Segment

What is the midpoint of a line with endpoints (2,5) and (18,-9)?

Possible Answers:

(-2,10)

(6,0)

(10,-2)

(-4,20)

(20,-4)

Correct answer:

(10,-2)

Explanation:

To find the midpoint of the line, plug the endpoints into the distance formula: $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$ . This will give you $(\frac{2+18}{2},\frac{5+-9}{2})$ , or a midpoint of (10,-2) .

Report an Error

Example Question #13 : How To Find The Midpoint Of A Line Segment

What is the midpoint of a line with endpoints of (12,3) and (28,9)?

Possible Answers:

(20,3)

(20,6)

(8,3)

(12, 8)

(8,6)

Correct answer:

(20,6)

Explanation:

To find the midpoint of a line, plug the endpoints into the midpoint formula:

$\left(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}\right)$

This gives you

$\left(\frac{12+28}{2},\frac{3+9}{2}\right)$

(20,6)

Report an Error

Example Question #23 : Midpoint Formula

What is the midpoint of a line with endpoints of (8,-4) and (20,2) ?

Possible Answers:

(14,-1)

(5,-2)

(10,4)

(28,-2)

(6,10)

Correct answer:

(14,-1)

Explanation:

To find the midpoint of the line, plug the endpoints into the midpoint formula, which is

$\left(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}\right)$

Doing this gives you

$\left(\frac{8+20}{2},\frac{-4+2}{2}\right)$

(14,-1)

Report an Error

Example Question #4141 : Algebra 1

What is the midpoint of a line segment with endpoints of (-7,4) and (3,16) ?

Possible Answers:

(10,-2)

(-4,20)

(-1,5)

(-2,10)

(20,-4)

Correct answer:

(-2,10)

Explanation:

To find the midpoint of the line segment, plug in the endpoints to the midpoint formula, which is

$\left(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}\right)$

This gives you

$\left(\frac{-7+3}{2},\frac{4+16}{2}\right)$

which equals

(-2,10)

Report an Error

Example Question #4142 : Algebra 1

What is the midpoint for the line segment between the points $\left ( -3,7 \right )$ and $\left ( 5,10 \right )\ ?$

Possible Answers:

$\left ( 1,\ 8.5 \right )$

$\left ( -4,\ -1.5 \right )$

$\left ( 4,8 \right )$

$\left ( 3.5,\ 6 \right )$

$\left ( 0,8 \right )$

Correct answer:

$\left ( 1,\ 8.5 \right )$

Explanation:

To find the midpoint, use the midpoint formula:

$Midpoint = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1}+y_{2}}{2})$

For this problem, this would be:

$(\frac{-3+5}{2}, \frac{7+10}{2}) = (1, 8.5)$

Report an Error

Example Question #21 : How To Find The Midpoint Of A Line Segment

What is the midpoint of the line segment between points (1, 8) and (-7, 10) ?

Possible Answers:

(3,9)

(-3, 9)

(3, -9)

(-3,-9)

None of the other answers are correct.

Correct answer:

(-3, 9)

Explanation:

$(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$ is the midpoint formula and will give the midpoint coordinates.

Plug in the numbers from the given ordered pairs:

$(\frac{1+(-7)}{2},\frac{8+10}{2})$

$(\frac{-6}{2},\frac{18}{2})$

(-3,9)

Report an Error

View Algebra Tutors

Michelle
Certified Tutor

University of Rhode Island, Bachelor of Science, Marine Biology. University of Rhode Island, Master of Arts, High School Teac...

View Algebra Tutors

Nene
Certified Tutor

University of Science and Arts of Oklahoma, Bachelor of Science, Mathematics. Florida Institute of Technology, Master of Scie...

View Algebra Tutors

Han
Certified Tutor

University of Illinois at Chicago, Bachelor of Science, Biological and Physical Sciences.

All Algebra 1 Resources

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

Popular Subjects

ACT Tutors in San Diego, Spanish Tutors in Denver, ISEE Tutors in Miami, Computer Science Tutors in San Diego, SAT Tutors in Phoenix, Computer Science Tutors in Denver, Calculus Tutors in Dallas Fort Worth, GRE Tutors in Houston, Physics Tutors in Houston, Calculus Tutors in Chicago

Popular Courses & Classes

LSAT Courses & Classes in Seattle, SSAT Courses & Classes in Denver, SAT Courses & Classes in Houston, SSAT Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Denver, SSAT Courses & Classes in Houston, LSAT Courses & Classes in Phoenix, SSAT Courses & Classes in Philadelphia, MCAT Courses & Classes in Boston, ACT Courses & Classes in New York City

Popular Test Prep

GMAT Test Prep in Boston, ISEE Test Prep in Los Angeles, SSAT Test Prep in Seattle, MCAT Test Prep in Denver, GRE Test Prep in Denver, SSAT Test Prep in Houston, ISEE Test Prep in New York City, ACT Test Prep in Los Angeles, SSAT Test Prep in New York City, ISEE Test Prep in Philadelphia

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 #15 : How To Find The Midpoint Of A Line Segment

Example Question #16 : How To Find The Midpoint Of A Line Segment

Example Question #12 : How To Find The Midpoint Of A Line Segment

Example Question #18 : How To Find The Midpoint Of A Line Segment

Example Question #12 : How To Find The Midpoint Of A Line Segment

Example Question #13 : How To Find The Midpoint Of A Line Segment

Example Question #23 : Midpoint Formula

Example Question #4141 : Algebra 1

Example Question #4142 : Algebra 1

Example Question #21 : How To Find The Midpoint Of A Line Segment

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: