Call Now to Set Up Tutoring:

(888) 888-0446

GED Math : GED Math

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 #5 : Standard Form

Write the following equation in standard form.

y-2 = 3(x-3)

Possible Answers:

3x-y = -7

-3x+y = -7

x-3y = -7

3x+2y =8

3x-y = -11

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

Example Question #11 : Standard Form

Determine the equation in standard form: 3x-6y = 14

Possible Answers:

$y-\frac{14}{3} = \frac{1}{2}(x)$

$y=\frac{1}{2}x+\frac{7}{3}$

$\textup{No changes are needed.}$

$y=\frac{1}{2}x-\frac{7}{3}$

$y+\frac{14}{3} = \frac{1}{2}(x)$

Correct answer:

$\textup{No changes are needed.}$

Explanation:

The equation in standard form is defined as Ax+By =C .

The given equation is already in standard form and does not require any change to the variables.

Do not put this equation in point-slope, or the slope-intercept form.

The answer is: $\textup{No changes are needed.}$

Report an Error

Example Question #221 : Algebra

Write the equation in standard form: y=-2x-5

Possible Answers:

-2x+y = -5

2x-y = 5

2x-2y = 5

2x+y = -5

2x-y = -5

Correct answer:

2x+y = -5

Explanation:

The standard form of a line is defined as: Ax+By=C

Add on both sides.

y+2x=-2x-5+2x

Rearrange the terms.

The answer is: 2x+y = -5

Report an Error

Example Question #12 : Standard Form

Rewrite the equation in standard form. $-3x =\frac{1}{4}y-2x$

Possible Answers:

20x+y=4

$-5x-\frac{1}{4}y = 1$

$\textup{The answer is not given.}$

4x+y=0

$-5x+\frac{1}{4}y = 1$

Correct answer:

4x+y=0

Explanation:

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

Add on both sides.

$-3x+3x =\frac{1}{4}y-2x+3x$

Simplify both sides.

$0=\frac{1}{4}y+x$

If we multiply by four on both sides, we can eliminate the fraction.

$0\cdot 4=4(\frac{1}{4}y+x)$

0 = y+4x

The answer is: 4x+y=0

Report an Error

Example Question #11 : Standard Form

What is the equation $y=\frac {1}{3}x+\frac {4}{5}$ in standard form?

Possible Answers:

5x-15y=12

$-\frac {1}{3}x+y=\frac {4}{5}$

-5x+15y=12

-5x+15y=-12

Correct answer:

-5x+15y=12

Explanation:

Step 1: Find the lowest common denominator of the fractions on the right. To find the lowest common denominator in this question, we multiply the denominators together because both denominators are both prime numbers. **In the cases where the denominators are either both composite or one prime/one composite, find the lowest common denominator by breaking down the factors of the two numbers and taking the product of the factors that are in common (sometimes you will need to add an uncommon factor).

So, lowest common denominator is $3\times5=15$ .

Step 2: Multiply both sides by 15.

$(15)y=(15)\times\frac {1}{3}x+(15)\times\frac {4}{5}$

Step 3: Simplify:

15y=5x+12

Step 4: Standard form is given when x and y are on the same side of the equation, usually written as Ax+By=C .

So, we need to move the over, and then we have our answer:

15y-5x=(5x-5x)+12

$\Rightarrow -5x+15y=12$

Report an Error

Example Question #13 : Standard Form

Line

Give the equation, in standard form, of the line on the above set of coordinate axes.

Possible Answers:

5x+3y = 15

3x-5y = 15

3x+ 5y = 15

5x-3y = 15

Correct answer:

5x+3y = 15

Explanation:

The -intercept of the line can be seen to be at the point five units above the origin, which is (0, 5) . The -intercept is at the point three units to the right of the origin, which is (3,0) . From these intercepts, we can find slope by setting b= 5,a = 3 in the formula

$m = - \frac{b}{a}$

The slope is

$m = - \frac{5}{3}$

Now, we can find the slope-intercept form of the line

y = mx + b

By setting $m = - \frac{5}{3}$ , b= 5 :

$y = - \frac{5}{3}x +5$

The standard form of a linear equation in two variables is

ax+by = c ,

so in order to find the equation in this form, first, add $- \frac{5}{3}x$ to both sides:

$y + \frac{5}{3}x = - \frac{5}{3}x +5 + \frac{5}{3}x$

$\frac{5}{3}x+ y = 5$

We can eliminate the fraction by multiplying both sides by 3:

$3 \left (\frac{5}{3}x+ y \right )= 3 \cdot 5$

Distribute by multiplying:

$3 \cdot \frac{5}{3}x+3 \cdot y =15$

5x+3y = 15 ,

the correct equation.

Report an Error

Example Question #11 : Standard Form

Write the given equation in standard form: 3+y =2(2x-6)

Possible Answers:

4x-2y =9

4x+y=-9

-4x+y = 9

-4x+y = -15

4x+y = 15

Correct answer:

-4x+y = -15

Explanation:

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

Simplify the right side by distribution.

3+y =2(2x)-(2)(6)

y+3 = 4x-12

Subtract on both sides.

y+3 -4x= 4x-12-4x

The equation becomes:

-4x+y+3 = -12

Subtract 3 from both sides.

-4x+y+3-3 = -12-3

The answer is: -4x+y = -15

Report an Error

Example Question #15 : Standard Form

Given the point (1,3) with a slope of two, write the equation in standard form.

Possible Answers:

-2x-2y = 1

y=2x-1

2x-3y =-1

2x+3y =-1

-2x+y = 1

Correct answer:

-2x+y = 1

Explanation:

We will first need to write the point-slope form to set up the equation.

y-y_1 = m(x-x_1)

Substitute the slope and point.

y-3= 2(x-1)

Simplify the right side.

y-3 = 2x-2

Add 3 on both sides.

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

y=2x+1

Subtract on both sides.

y-2x=2x+1-2x

The answer is: -2x+y = 1

Report an Error

Example Question #12 : Standard Form

Find the equation in standard form: y=4(x-4)

Possible Answers:

2x+y = -4

-2x+y = -8

-4x+y = -4

-4x+y = -16

2x+y = -16

Correct answer:

-4x+y = -16

Explanation:

Distribute the right side.

y=4x-16

Subtract on both sides.

y-4x=4x-16-4x

The answer is: -4x+y = -16

Report an Error

Example Question #12 : Standard Form

Rewrite the equation in standard form: $\frac{1}{2}x = 2x-2y+3$

Possible Answers:

4x-4y =-6

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

$\frac{3}{4}x +\frac{3}{2}y =1$

$\textup{The answer is not given.}$

4x+4y =-6

Correct answer:

4x-4y =-6

Explanation:

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

Multiply by two on both sides to eliminate the fraction.

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

x= 4x-4y+6

Subtract on both sides.

x-x= 4x-4y+6-x

0 = 4x-4y +6

Subtract 6 from both sides.

The answer is: 4x-4y =-6

Report an Error

View Tutors

Jessica
Certified Tutor

Georgetown University, Master's/Graduate, Linguistics.

View Tutors

Ethan
Certified Tutor

Oberlin College, Bachelor in Arts, East Asian Studies.

View Tutors

Karin
Certified Tutor

SUNY College at Cortland, Bachelor of Science, Mathematics Teacher Education. New York University, Master of Arts, Educationa...

All GED Math Resources

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

Popular Subjects

Computer Science Tutors in San Diego, GRE Tutors in Los Angeles, French Tutors in Miami, Statistics Tutors in Atlanta, French Tutors in Washington DC, Algebra Tutors in Chicago, Calculus Tutors in San Diego, MCAT Tutors in Denver, Spanish Tutors in Denver, Spanish Tutors in Seattle

Popular Courses & Classes

ISEE Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in Washington DC, ACT Courses & Classes in Houston, ISEE Courses & Classes in Philadelphia, GRE Courses & Classes in Washington DC, GRE Courses & Classes in San Francisco-Bay Area, ACT Courses & Classes in Los Angeles, GRE Courses & Classes in Phoenix, MCAT Courses & Classes in Los Angeles, ISEE Courses & Classes in Phoenix

Popular Test Prep

LSAT Test Prep in Los Angeles, SAT Test Prep in Washington DC, ACT Test Prep in Los Angeles, LSAT Test Prep in Dallas Fort Worth, GRE Test Prep in Los Angeles, MCAT Test Prep in Phoenix, GRE Test Prep in San Francisco-Bay Area, ISEE Test Prep in Los Angeles, SAT Test Prep in Philadelphia, LSAT Test Prep in San Diego

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 : GED Math

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #5 : Standard Form

Example Question #11 : Standard Form

Example Question #221 : Algebra

Example Question #12 : Standard Form

Example Question #11 : Standard Form

Example Question #13 : Standard Form

Example Question #11 : Standard Form

Example Question #15 : Standard Form

Example Question #12 : Standard Form

Example Question #12 : Standard Form

All GED Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: