We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Pre-Algebra : One-Step Equations with Decimals

Study concepts, example questions & explanations for Pre-Algebra

Create An Account

All Pre-Algebra Resources

11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #51 : One Step Equations With Decimals

Solve: 0.1x = 1000

Possible Answers:

10000

100

1000.1

999.9

Correct answer:

10000

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Divide both sides by 0.1 to isolate the variable.

$\frac{0.1x }{0.1}= \frac{1000}{0.1}$

Decimals may be written as fractions.

$0.1=\frac{1}{10}$

Dividing by a fraction is the same as multiplying by its reciprocal:

$\frac{1000}{1}\times \frac{10}{1}$

Therefore,

x=10000 .

Report an Error

Example Question #162 : One Step Equations

Solve: 0.003x = 3.3

Possible Answers:

1000

1010

1001

1100

100

Correct answer:

1100

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Divide 0.003 on both sides to isolate the unknown variable.

$\frac{0.003x}{0.003} = \frac{3.3}{0.003}$

Decimals may be written as fractions.

$0.003=\frac{3}{1000}$

Dividing by a fraction is the same as multiplying by its reciprocal:

$3.3\times \frac{1000}{3}$

x= 1100

Report an Error

Example Question #351 : Algebraic Equations

Solve: 0.6x = 24

Possible Answers:

$\frac{1}{4}$

400

0.04

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To solve for , divide both sides by 0.6

$\frac{0.6x }{0.6}= \frac{24}{0.6}$

Decimals may be written as fractions.

$0.6=\frac{6}{10}$

Dividing by a fraction is the same as multiplying by its reciprocal:

Substitute and solve.

$x=\frac{24}{1}\times\frac{10}{6}$

$x=\frac{240}{6}=\frac{6\cdot 40}{6}$

The six in the numerator and in the denominator cancel out and we are left with the final answer,

x=40 .

Report an Error

Example Question #53 : One Step Equations With Decimals

Solve: 0.123+x = 456

Possible Answers:

0.333

455.877

3.33

333

0.455877

Correct answer:

455.877

Explanation:

In order to solve for , subtract 0.123 from both sides.

0.123+x -0.123= 456-0.123

x=455.877

Report an Error

Example Question #53 : One Step Equations With Decimals

Evaluate:

0.09x = 27

Possible Answers:

3000

27.09

300

26.91

Correct answer:

300

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Solve by dividing 0.09 on both sides of the equation. Move the decimal two places to the right.

$\frac{0.09x}{0.09} = \frac{27}{0.09} =\frac{2700}{9}$

Now factor the numerator to find values that can cancel out.

$\frac{2700}{9}=\frac{9\cdot 300}{9}$

The nine in the numerator and denominator reduce to one and we are left with our final answer,

x=300 .

Report an Error

Example Question #52 : One Step Equations With Decimals

Solve: 0.39x = 7.8

Possible Answers:

200

0.741

7.41

Correct answer:

Explanation:

Divide 0.39 on both sides of the equation.

$\frac{0.39x}{0.39} = \frac{7.8}{0.39}$

x=20

Report an Error

Example Question #57 : One Step Equations With Decimals

Solve:

2.02x= -0.202

Possible Answers:

0.1

-0.01

-0.1

Correct answer:

-0.1

Explanation:

Divide by 2.02 on both sides of the equation.

$\frac{2.02x}{2.02}=\frac{ -0.202}{2.02}$

Decimals may be written as fractions.

$-0.202=-\frac{202}{1000}; 2.02=\frac{202}{100}$

Dividing by a fraction is the same as multiplying by its reciprocal:

Substitute and solve.

$x=-\frac{202}{1000}\times\frac{100}{202}$

x=-0.1

Report an Error

Example Question #55 : One Step Equations With Decimals

Solve: x-0.56 = 1.4

Possible Answers:

0.69

1.52

1.6

1.96

1.16

Correct answer:

1.96

Explanation:

Add 0.56 on both sides of the equation.

x-0.56 +0.56= 1.4+0.56

x= 1.40+0.56

x= 1.96

Report an Error

Example Question #59 : One Step Equations With Decimals

Solve: 0.6x = 36

Possible Answers:

216

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

To isolate the variable, divide both sides by 0.6 .

$\frac{0.6x}{0.6} = \frac{36}{0.6}$

Decimals may be written as fractions.

$0.6=\frac{6}{10}$

Dividing by a fraction is the same as multiplying by its reciprocal:

$\frac{36}{1}\times \frac{10}{6}=\frac{360}{6}$

Now factor the numerator to find like terms that can reduce.

$\frac{360}{6}=\frac{60\cdot 6}{6}$

The six in the numerator and denominator reduce to one and the final solution becomes,

x=60 .

Report an Error

Example Question #56 : One Step Equations With Decimals

Solve: 2x = 0.003

Possible Answers:

0.006

0.015

0.0015

0.06

0.15

Correct answer:

0.0015

Explanation:

Solve by dividing both sides by 2.

$\frac{2x}{2} = \frac{0.003}{2}$

The fraction on the right side of the equation can be rewritten as:

$x= \frac{0.003}{2} = \frac{\frac{3}{1000}}{2}$

Dividing by two is also similar to multiplying by one half.

$x= \frac{3}{1000} \times \frac{1}{2}= \frac{3}{2000}$

x=0.0015

Report an Error

View Pre-Algebra Tutors

Michelle
Certified Tutor

University of Nevada-Las Vegas, Bachelor of Science, Mathematics.

View Pre-Algebra Tutors

Dejuan
Certified Tutor

University of Illinois at Urbana-Champaign, Bachelor of Science, Electrical Engineering.

View Pre-Algebra Tutors

Leonard
Certified Tutor

Florida State University, Bachelor of Science, Environmental Science.

All Pre-Algebra Resources

11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Reading Tutors in New York City, Algebra Tutors in New York City, Spanish Tutors in Miami, Calculus Tutors in Phoenix, Spanish Tutors in Dallas Fort Worth, SSAT Tutors in San Francisco-Bay Area, Statistics Tutors in Philadelphia, Spanish Tutors in Washington DC, Calculus Tutors in Washington DC, English Tutors in Dallas Fort Worth

Popular Courses & Classes

ACT Courses & Classes in Houston, LSAT Courses & Classes in Houston, MCAT Courses & Classes in Houston, LSAT Courses & Classes in Seattle, LSAT Courses & Classes in Boston, SAT Courses & Classes in Los Angeles, GMAT Courses & Classes in Atlanta, MCAT Courses & Classes in San Diego, GMAT Courses & Classes in Miami, GRE Courses & Classes in Seattle

Popular Test Prep

SAT Test Prep in Dallas Fort Worth, SSAT Test Prep in Washington DC, GMAT Test Prep in Seattle, LSAT Test Prep in San Diego, ISEE Test Prep in San Diego, GMAT Test Prep in Washington DC, ISEE Test Prep in Houston, MCAT Test Prep in New York City, GMAT Test Prep in Atlanta, SSAT Test Prep in Denver

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

Pre-Algebra : One-Step Equations with Decimals

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #51 : One Step Equations With Decimals

Example Question #162 : One Step Equations

Example Question #351 : Algebraic Equations

Example Question #53 : One Step Equations With Decimals

Example Question #53 : One Step Equations With Decimals

Example Question #52 : One Step Equations With Decimals

Example Question #57 : One Step Equations With Decimals

Example Question #55 : One Step Equations With Decimals

Example Question #59 : One Step Equations With Decimals

Example Question #56 : One Step Equations With Decimals

All Pre-Algebra Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: