Call Now to Set Up Tutoring:

(888) 888-0446

GED Math : Single-Variable Algebra

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 #31 : Solving For The Variable

Solve for :

$\frac{2}{7}y - \frac{3}{7} = \frac{1}{5}$

Possible Answers:

$y = \frac{5}{11}$

$y = \frac{44}{245}$

$y = 2 \frac{1}{5}$

$y = 5\frac{25 }{44}$

Correct answer:

$y = 2 \frac{1}{5}$

Explanation:

One way to solve a linear equation with fractional coefficients is to first multiply both sides by their least common denominator; this is the least common multiple of 5 and 7, which is 35, so multiply by this:

$\frac{2}{7}y - \frac{3}{7} = \frac{1}{5}$

$35 \cdot \left (\frac{2}{7}y - \frac{3}{7} \right ) = 35 \cdot \frac{1}{5}$

Since fractions are involved, change 35 to $\frac{35}{1}$ , and distribute on the left side:

$\frac{35}{1} \cdot \left (\frac{2}{7}y - \frac{3}{7} \right ) =\frac{35}{1} \cdot \frac{1}{5}$

$\frac{35}{1} \cdot \frac{2}{7}y - \frac{35}{1} \cdot \frac{3}{7} =\frac{35}{1} \cdot \frac{1}{5}$

Cross-cancel and multiply fractions across:

$\frac{5}{1} \cdot \frac{2}{1}y - \frac{5}{1} \cdot \frac{3}{1} =\frac{7}{1} \cdot \frac{1}{1}$

$\frac{10}{1}y - \frac{15}{1} =\frac{7}{1}$

10y -15 =7

Isolate on the left side by first adding 15 to both sides:

10y -15 + 15 =7 + 15

10y = 22

Divide both sides by 10:

$\frac{10y}{10} = \frac{22}{10}$

$y = 2\frac{2}{10} = 2 \frac{1}{5}$

Report an Error

Example Question #31 : Solving For The Variable

Which of the following makes this equation true:

$\frac{y}{9} = 13$

Possible Answers:

y=4

y=6

y=117

y=99

y=118

Correct answer:

y=117

Explanation:

To answer the question, we will solve for y. We get

$\frac{y}{9} = 13$

$\frac{y}{9} \cdot 9 = 13 \cdot 9$

y = 117

Report an Error

Example Question #32 : Solving For The Variable

Solve the equation: x+4 = 8-x

Possible Answers:

$\textup{No solution.}$

Correct answer:

Explanation:

Add on both sides.

x+4+x = 8-x+x

2x+4=8

Subtract 4 on both sides.

2x+4-4=8-4

2x=4

Divide by 2 on both sides.

$\frac{2x}{2}=\frac{4}{2}$

The answer is:

Report an Error

Example Question #33 : Solving For The Variable

Solve for : y-3 = 2(y-2)

Possible Answers:

Correct answer:

Explanation:

Distribute the right side.

y-3 = 2y-4

Subtract on both sides.

y-3 -y= 2y-4-y

-3 = y-4

Add 4 on both sides.

-3 +4= y-4+4

The answer is: y=1

Report an Error

Example Question #34 : Solving For The Variable

Solve for the variable: 9x-4 = 17

Possible Answers:

$\frac{7}{3}$

$\frac{7}{2}$

$\frac{13}{9}$

$\frac{9}{7}$

Correct answer:

$\frac{7}{3}$

Explanation:

Add 4 on both sides.

9x-4 +4= 17+4

9x=21

Divide by 9 on both sides.

$\frac{9x}{9}=\frac{21}{9}$

Reduce both sides.

The answer is: $\frac{7}{3}$

Report an Error

Example Question #81 : Single Variable Algebra

Solve for the variable: x-7 = 2x-3

Possible Answers:

$-\frac{10}{3}$

$-\frac{4}{3}$

Correct answer:

Explanation:

Subtract from both sides.

x-7 -x= 2x-3-x

-7 = x-3

Add 3 on both sides.

-7 +3= x-3+3

x=-4

The answer is:

Report an Error

Example Question #36 : Solving For The Variable

Give the solution set:

9 (x + 18) < 261

Possible Answers:

$\left \{ x| x< 11 \right \}$

$\left \{ x| x< 47\right \}$

$\left \{ x| x< 27\right \}$

$\left \{ x| x< 31\right \}$

Correct answer:

$\left \{ x| x< 11 \right \}$

Explanation:

First, distribute the 9 on the left by multiplying it by each expression in the parentheses:

9 (x + 18) < 261

$9 \cdot x + 9 \cdot 18 < 261$

9 x +162 < 261

Isolate on the right by first, subtracting 162 from both sides:

9 x +162 - 162 < 261 - 162

9 x < 99

Divide both sides by 9:

$\frac{9x }{9}< \frac{99}{9}$

x< 11

The correct solution set is $\left \{ x| x< 11 \right \}$ .

Report an Error

Example Question #37 : Solving For The Variable

Which of the following makes this equation true:

12x+4=112

Possible Answers:

x=9

x=4

x=12

x=8

x=7

Correct answer:

x=9

Explanation:

To answer the question, we will solve for x. So, we get

12x+4=112

12x+4-4=112-4

12x=108

$\frac{12x}{12} = \frac{108}{12}$

x=9

Report an Error

Example Question #82 : Single Variable Algebra

Solve for : 3x+5 = -19

Possible Answers:

$-\frac{14}{3}$

Correct answer:

Explanation:

Subtract five from both sides.

3x+5 -5= -19-5

3x=-24

Divide by three on both sides.

$\frac{3x}{3}=\frac{-24}{3}$

The answer is:

Report an Error

Example Question #39 : Solving For The Variable

Solve the equation: -2x-3 = 4x-7

Possible Answers:

$\frac{2}{3}$

$-\frac{5}{3}$

$\frac{3}{2}$

$\frac{5}{4}$

$\frac{5}{3}$

Correct answer:

$\frac{2}{3}$

Explanation:

Add on both sides.

-2x-3 +2x= 4x-7+2x

-3 = 6x-7

Add 7 on both sides.

-3 +7= 6x-7+7

4= 6x

Divide by 6 on both sides.

$\frac{4}{6}= \frac{6x}{6}$

Reduce both fractions.

The answer is: $\frac{2}{3}$

Report an Error

View Tutors

Karina
Certified Tutor

Juniata College, Bachelor of Fine Arts, Sociology and Anthropology. City University of Seattle, Masters in Business Administr...

View Tutors

Andrew
Certified Tutor

University of Wisconsin-Stevens Point, Bachelor of Science, Mathematics. University of Wisconsin-Oshkosh, Master of Science, ...

View Tutors

Melissa
Certified Tutor

Salem College, Bachelor in Arts, Mass Communications.

All GED Math Resources

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

Popular Subjects

English Tutors in Seattle, Reading Tutors in Dallas Fort Worth, ISEE Tutors in Seattle, LSAT Tutors in San Francisco-Bay Area, Physics Tutors in New York City, SSAT Tutors in Philadelphia, GRE Tutors in Dallas Fort Worth, GRE Tutors in Chicago, English Tutors in San Francisco-Bay Area, Chemistry Tutors in San Diego

Popular Courses & Classes

ACT Courses & Classes in Washington DC, Spanish Courses & Classes in San Diego, Spanish Courses & Classes in Denver, LSAT Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in San Diego, SAT Courses & Classes in Seattle, GRE Courses & Classes in San Francisco-Bay Area, MCAT Courses & Classes in Los Angeles, ACT Courses & Classes in New York City, ACT Courses & Classes in Miami

Popular Test Prep

ISEE Test Prep in San Francisco-Bay Area, LSAT Test Prep in San Diego, ACT Test Prep in New York City, LSAT Test Prep in Seattle, GMAT Test Prep in Dallas Fort Worth, ISEE Test Prep in Philadelphia, GMAT Test Prep in Miami, MCAT Test Prep in Los Angeles, SAT Test Prep in Miami, SAT Test Prep in New York City

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 : Single-Variable Algebra

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #31 : Solving For The Variable

Example Question #31 : Solving For The Variable

Example Question #32 : Solving For The Variable

Example Question #33 : Solving For The Variable

Example Question #34 : Solving For The Variable

Example Question #81 : Single Variable Algebra

Example Question #36 : Solving For The Variable

Example Question #37 : Solving For The Variable

Example Question #82 : Single Variable Algebra

Example Question #39 : Solving For The Variable

All GED Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: