Call Now to Set Up Tutoring:

(888) 888-0446

GED Math : Standard Form

Study concepts, example questions & explanations for GED Math

Create An Account

All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Standard Form

Which of the following is an example of an equation of a line written in standard form?

Possible Answers:

$\small 2x+4y-7=0$

$\small x=-2y+\frac{7}{2}$

$\small 2x+4y=7$

$\small y=\frac{1}2x+\frac{7}{4}$

Correct answer:

$\small 2x+4y=7$

Explanation:

The standard form of a line is $\small Ax+By=C$ , where all constants are integers, i.e. whole numbers.

Therefore, the equation written in standard form is $\small 2x+4y=7$ .

Report an Error

Example Question #2 : Standard Form

Line

Refer to the above red line. What is its equation in standard form?

Possible Answers:

2x+ y = 8

2x - y = -8

2x - y = 8

2x+ y = -8

Correct answer:

2x - y = -8

Explanation:

First, we need to find the slope of the above line.

Given two points, $(x_{1}, y_{1}), (x_{2}, y_{2})$ , the slope can be calculated using the following formula:

$m = \frac{y_{2}-y_{1}}{x_{2}-x _{1}}$

Set $x_{1}=-4, y_{1}=x_{2}= 0, y_{2}=8$ :

$m = \frac{8-0}{0-(-4)} = \frac{8}{4} = 2$

Second, we note that the -intercept is the point (0,8) .

Therefore, in the slope-intercept form of a line, we can set m = 2 and b = 8 :

y = mx+b

y = 2x+8

Since we are looking for standard form - that is, Ax+By = C - we do the following:

y - y - 8 = 2x+8 - y - 8

-8 = 2x -y

2x - y = -8

Report an Error

Example Question #2 : Standard Form

Write the following equation in standard form:

y=-3x+2

Possible Answers:

3x+y-2=0

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

y=-3x+2

3x+y=2

Correct answer:

3x+y=2

Explanation:

Standard form of an equation is

Ax+By=C .

Rearrange the given equation to make it look like the above equation as follows:

y=-3x+2

y+3x=-3x+3x+2

y+3x=2

3x+y=2

Report an Error

Example Question #3 : Standard Form

Rewrite the following equation in standard form.

2+4y=3x+10

Possible Answers:

$x=\frac{4}{3}y-\frac{8}{3}$

3x-4y=-8

4y=3x+8

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

6y=13x

Correct answer:

3x-4y=-8

Explanation:

The standard form of a line is Ax+By=C , where $A, B, \textup{and}\textup{ } C$ are integers.

We therefore need to rewrite 2+4y=3x+10 so it looks like Ax+By=C .

The steps to do this are below:

$2+4y=3x+10 \textup{ (subtract 10 from both sides)}$

$-8 +4y=3x\textup{ (subtract 4y from both sides)}$

$-8=3x-4y\ (\textup{flip the two sides of the equality})$

3x-4y=-8

Report an Error

Example Question #5 : Standard Form

Rewrite the equation in standard form: y=3x+8

Possible Answers:

-3x+y =8

-3x-y =8

3x+y =8

-3x+y =-8

$\textup{The equation is already in standard form.}$

Correct answer:

-3x+y =8

Explanation:

To rewrite in standard form, we will need the equation in the form of:

Ax+By =C

Subtract on both sides.

y-3x=3x+8-3x

Regroup the variables on the left, and simplify the right.

The answer is: -3x+y =8

Report an Error

Example Question #6 : Standard Form

Rewrite the equation in standard form.

y-2=3(x+6)

Possible Answers:

3x+y = 16

-3x+y = 16

-3x+y = -20

-3x+y = 20

3x-y = 16

Correct answer:

-3x+y = 20

Explanation:

The given equation is in point-slope form.

The standard form is: Ax+By = C

Distribute the right side.

y-2=3x+18

Subtract on both sides.

y-2-3x=3x+18-3x

-3x+y-2 = 18

Add 2 on both sides.

-3x+y-2+2 = 18+2

The answer is: -3x+y = 20

Report an Error

Example Question #7 : Standard Form

Rewrite the equation in standard form: 3+y-9x=4

Possible Answers:

9x-y = -1

9x-y = 7

9x-y = -7

-9x-y = 7

9x-7y = -1

Correct answer:

9x-y = -1

Explanation:

The standard form of a linear equation is: Ax+By =C

Reorganize the terms.

Add on both sides.

3+y-9x+(9x)=4+(9x)

3+y= 4+9x

Subtract on both sides.

3+y-y= 4+9x-y

3= 4+9x-y

Subtract four on both sides.

3-4= 4+9x-y-4

The answer is: 9x-y = -1

Report an Error

Example Question #1 : Standard Form

Given the slope of a line is and a point is (4,-3) , write the equation in standard form.

Possible Answers:

-2x+y = -11

-2x+y = -22

2x-2y = -11

-2x+3y = -11

2x-y = -11

Correct answer:

-2x+y = -11

Explanation:

Write the slope-intercept form of a linear equation.

y=mx+b

Substitute the point and the slope.

-3 = (2)(4)+b

Solve for the y-intercept, and then write the equation of the line.

-3 = 8+b

-3-8 = 8+b-8

b=-11

y=2x-11

The equation in standard form is: Ax+By =C

Subtract from both sides.

y-2x=2x-11-2x

The answer is: -2x+y = -11

Report an Error

Example Question #1 : Standard Form

Which of the following is NOT in standard form?

Possible Answers:

y=5x^2-3x+5

$\textup{All equations are represented in standard form.}$

-19x+y = 3

y-2=3(x+9)

15x-y=15

Correct answer:

y-2=3(x+9)

Explanation:

The equation in standard form of a linear equation is:

Ax+By =C

The equation in standard form of a parabolic equation is:

y= Ax^2+Bx+C

All of the following equations are in standard form except:

y-2=3(x+9)

This equation is in point-slope format: y-y_1 = m(x-x_1)

The answer is: y-2=3(x+9)

Report an Error

Example Question #5 : Standard Form

Write the following equation in standard form.

y-2 = 3(x-3)

Possible Answers:

3x+2y =8

x-3y = -7

3x-y = -11

3x-y = -7

-3x+y = -7

Correct answer:

-3x+y = -7

Explanation:

The standard form of a linear equation is: Ax+By =C

Distribute the right side.

y-2 = 3x-9

Subtract on both sides.

y-2 -(3x)= 3x-9-(3x)

-3x+y-2 = -9

Add 2 on both sides.

-3x+y-2+2 = -9+2

The answer is: -3x+y = -7

Report an Error

View Tutors

Grace
Certified Tutor

University of Massachusetts-Dartmouth, Bachelor of Education, Portuguese. University of Massachusetts-Dartmouth, Masters in B...

View Tutors

James
Certified Tutor

St. Mary of the Plains College, Bachelors, Mathematics. Baker University, Masters, Business Administration and Management.

View Tutors

Constance
Certified Tutor

Loyola University-Chicago, Bachelors, Psychology. Sam Houston State University, Masters, Counseling Psychology.

All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

GMAT Tutors in Dallas Fort Worth, ACT Tutors in Chicago, MCAT Tutors in San Diego, French Tutors in New York City, Calculus Tutors in New York City, Algebra Tutors in Phoenix, Biology Tutors in San Francisco-Bay Area, Physics Tutors in Phoenix, French Tutors in San Diego, SAT Tutors in Los Angeles

Popular Courses & Classes

Spanish Courses & Classes in Philadelphia, SAT Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Washington DC, GMAT Courses & Classes in Dallas Fort Worth, LSAT Courses & Classes in New York City, SSAT Courses & Classes in Phoenix, SSAT Courses & Classes in Denver, GRE Courses & Classes in Boston, GRE Courses & Classes in Miami, ISEE Courses & Classes in Miami

Popular Test Prep

SSAT Test Prep in Philadelphia, GRE Test Prep in Atlanta, SAT Test Prep in Denver, GMAT Test Prep in Phoenix, MCAT Test Prep in Dallas Fort Worth, ISEE Test Prep in Seattle, LSAT Test Prep in Atlanta, MCAT Test Prep in Atlanta, ACT Test Prep in Miami, GRE Test Prep in Washington DC

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

GED Math : Standard Form

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #1 : Standard Form

Example Question #2 : Standard Form

Example Question #2 : Standard Form

Example Question #3 : Standard Form

Example Question #5 : Standard Form

Example Question #6 : Standard Form

Example Question #7 : Standard Form

Example Question #1 : Standard Form

Example Question #1 : Standard Form

Example Question #5 : Standard Form

All GED Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: