We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: 8th Grade Math : Grade 8

Study concepts, example questions & explanations for Common Core: 8th Grade Math

Create An Account

All Common Core: 8th Grade Math Resources

7 Diagnostic Tests 75 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #121 : Grade 8

Select the equation that shows the greatest unit rate.

Possible Answers:

y=6x+3

y=4x+3

y=5x+3

y=7x+3

Correct answer:

y=7x+3

Explanation:

Unit rate is the slope of an equation. The equations in our answer options are written in slope intercept form:

y=mx+b

is always the slope, and is the -intercept.

We are looking for the equation with the greatest unit rate, or slope. Based on our options is the greatest value of ; thus our correct answer is y=7x+3

Report an Error

Example Question #121 : Grade 8

Select the equation that shows the lowest unit rate.

Possible Answers:

y=4x+3

y=5x+3

y=6x+3

y=7x+3

Correct answer:

y=4x+3

Explanation:

Unit rate is the slope of an equation. The equations in our answer options are written in slope intercept form:

y=mx+b

is always the slope, and is the -intercept.

We are looking for the equation with the lowest unit rate, or slope. Based on our options is the lowest value of ; thus our correct answer is y=4x+3

Report an Error

Example Question #123 : Grade 8

Select the equation that shows the lowest unit rate.

Possible Answers:

y=8x+11

y=9x+11

y=10x+13

y=6x+21

Correct answer:

y=6x+21

Explanation:

Unit rate is the slope of an equation. The equations in our answer options are written in slope intercept form:

y=mx+b

is always the slope, and is the -intercept.

We are looking for the equation with the lowest unit rate, or slope. Based on our options is the lowest value of ; thus our correct answer is y=6x+21

Report an Error

Example Question #122 : Grade 8

Select the equation that shows the greatest unit rate.

Possible Answers:

y=8x+11

y=9x+11

y=6x+21

y=10x+13

Correct answer:

y=10x+13

Explanation:

Unit rate is the slope of an equation. The equations in our answer options are written in slope intercept form:

y=mx+b

is always the slope, and is the -intercept.

We are looking for the equation with the greatest unit rate, or slope. Based on our options, is the greatest value of ; thus, our correct answer is y=10x+13

Report an Error

Example Question #123 : Grade 8

Select the graph with the greatest unit rate.

Possible Answers:

Graph D

Screen shot 2016 03 08 at 2.35.35 pm

Graph C

Screen shot 2016 03 08 at 2.32.23 pm

Graph B

Screen shot 2016 03 08 at 2.11.02 pm

Graph A

Screen shot 2016 03 08 at 2.14.15 pm

Correct answer:

Graph B

Screen shot 2016 03 08 at 2.11.02 pm

Explanation:

The highest unit rate means that the slope is the highest. So, first we ned to solve for our slopes.

To solve for the slope we can use the following formula:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Based on our formula, we first need to find two points for each of the graphs, and then we can solve for the slope.

Graph A

Points: (1,5) and (2,7)

Slope: $\frac{7-5}{2-1}=\frac{2}{1}=2$

Graph B

Points: (1,8) and (2,13)

Slope: $\frac{13-8}{2-1}=\frac{5}{1}=5$

Graph C

Points: (1,8) and (2,12)

Slope: $\frac{12-8}{2-1}=\frac{4}{1}=4$

Graph D

Points: (1,6) and (2,9)

Slope: $\frac{9-6}{2-1}=\frac{3}{1}=3$

We are looking for the graph with the greatest slope, or unit rate; thus, our correct answer is Graph B.

Report an Error

Example Question #124 : Grade 8

A line has the equation 5x-9y=12 . What is the slope of this line?

Possible Answers:

$-\frac{4}{3}$

$\frac{5}{9}$

$\frac{9}{5}$

Correct answer:

$\frac{5}{9}$

Explanation:

You need to put the equation in y=mx+b form before you can easily find out its slope.

5x-9y=12

-9y=-5x+12

$y=\frac{5}{9}x-\frac{4}{3}$

Since $m=\frac{5}{9}$ , that must be the slope.

Report an Error

Example Question #125 : Grade 8

The equation of a line is 12x-8y=6 . Find the slope of this line.

Possible Answers:

$\frac{3}{4}$

$\frac{3}{2}$

$-\frac{3}{4}$

$-\frac{3}{2}$

Correct answer:

$\frac{3}{2}$

Explanation:

To find the slope, you will need to put the equation in y=mx+b form. The value of will be the slope.

12x-8y=6

Subtract from either side:

8y=12x-6

Divide each side by :

$y=\frac{3}{2}x-\frac{3}{4}$

You can now easily identify the value of .

$m=\frac{3}{2}$

Report an Error

Example Question #126 : Grade 8

What is the -intercept of the graph of the function $f \left ( x\right ) = 2x^{2} - 7x + 5$ ?

Possible Answers:

$\left (0,0 \right )$

$\left ( 0, -3 \frac{1}{2}\right )$

$\left (0,-7 \right )$

$\left (0,5 \right )$

$\left (0,2 \right )$

Correct answer:

$\left (0,5 \right )$

Explanation:

The -intercept of the graph of a function is the point at which it intersects the -axis - that is, at which x = 0 . This point is $\left (0, f(0) \right )$ , so evaluate f(0) :

$f \left ( x\right ) = 2x^{2} - 7x + 5$

$f \left (0\right ) = 2 \cdot 0^{2} - 7 \cdot 0 + 5$

$f \left (0\right ) = 0- 0 + 5 = 5$

The -intercept is $\left (0,5 \right )$ .

Report an Error

Example Question #2 : Use Similar Triangles To Show Equal Slopes: Ccss.Math.Content.8.Ee.B.6

Give the -intercept, if there is one, of the graph of the equation

$y = \frac{1}{x^{2}+ x} + 3$

Possible Answers:

(0,4)

$\left ( 0, \frac{3}{2}\right )$

(0,2)

(0,3)

The graph has no -intercept.

Correct answer:

The graph has no -intercept.

Explanation:

The -intercept is the point at which the graph crosses the -axis; at this point, the -coordinate is 0, so substitute for in the equation:

$y = \frac{1}{x^{2}+ x} + 3$

$y = \frac{1}{0^{2}+0} + 3$

$y = \frac{1}{0} + 3$

However, since this expression has 0 in a denominator, it is of undefined value. This means that there is no value of paired with -coordinate 0, and, subsequently, the graph of the equation has no -intercept.

Report an Error

Example Question #2076 : Hspt Mathematics

Give the -intercept, if there is one, of the graph of the equation

$y = \frac{3}{\left | 3x-8\right |}$

Possible Answers:

$\left ( 0, \frac{3}{5}\right )$

The graph has no -intercept.

$\left ( 0,- \frac{3}{5}\right )$

$\left ( 0, -\frac{3}{8}\right )$

$\left ( 0, \frac{3}{8}\right )$

Correct answer:

$\left ( 0, \frac{3}{8}\right )$

Explanation:

The -intercept is the point at which the graph crosses the -axis; at this point, the -coordinate is 0, so substitute for in the equation:

$y = \frac{3}{\left | 3x-8\right |}$

$y = \frac{3}{\left | 3 \cdot 0 -8\right |}$

$y = \frac{3}{\left | 0 -8\right |}$

$y = \frac{3}{\left | -8\right |}$

$y = \frac{3}{ 8}$

The -intercept is $\left ( 0, \frac{3}{8}\right )$ .

Report an Error

View Tutors

Alexandra
Certified Tutor

Georgia State University, Bachelor of Fine Arts, Studio Art (Photography).

View Tutors

Jamie
Certified Tutor

East Central University, Bachelors, Special Education.

View Tutors

Sarah
Certified Tutor

New York University, Bachelor of Fine Arts, Drama.

All Common Core: 8th Grade Math Resources

7 Diagnostic Tests 75 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Algebra Tutors in Dallas Fort Worth, SAT Tutors in Seattle, French Tutors in Atlanta, Math Tutors in Washington DC, SSAT Tutors in Phoenix, Chemistry Tutors in Dallas Fort Worth, SSAT Tutors in Denver, Computer Science Tutors in Miami, Math Tutors in Miami, GRE Tutors in Dallas Fort Worth

Popular Courses & Classes

SAT Courses & Classes in Boston, LSAT Courses & Classes in Washington DC, GRE Courses & Classes in Seattle, GRE Courses & Classes in Los Angeles, LSAT Courses & Classes in Denver, ISEE Courses & Classes in San Francisco-Bay Area, MCAT Courses & Classes in Washington DC, Spanish Courses & Classes in Phoenix, SAT Courses & Classes in Chicago, GMAT Courses & Classes in San Diego

Popular Test Prep

SSAT Test Prep in Denver, ISEE Test Prep in San Francisco-Bay Area, GMAT Test Prep in Dallas Fort Worth, LSAT Test Prep in San Francisco-Bay Area, SSAT Test Prep in Boston, SAT Test Prep in Washington DC, GRE Test Prep in Washington DC, ACT Test Prep in Atlanta, SSAT Test Prep in San Diego, ISEE Test Prep in Houston

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: 8th Grade Math : Grade 8

Study concepts, example questions & explanations for Common Core: 8th Grade Math

All Common Core: 8th Grade Math Resources

Example Questions

Example Question #121 : Grade 8

Example Question #121 : Grade 8

Example Question #123 : Grade 8

Example Question #122 : Grade 8

Example Question #123 : Grade 8

Example Question #124 : Grade 8

Example Question #125 : Grade 8

Example Question #126 : Grade 8

Example Question #2 : Use Similar Triangles To Show Equal Slopes: Ccss.Math.Content.8.Ee.B.6

Example Question #2076 : Hspt Mathematics

All Common Core: 8th Grade Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: