Call Now to Set Up Tutoring:

(888) 888-0446

Pre-Algebra : Two-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 #1 : Two Step Equations With Decimals

Solve for :

0.33x+1.66=9.99

Possible Answers:

$-25.\overline{24}$

$25.\overline{42}$

$-25.\overline{42}$

$25.\overline{24}$

Correct answer:

$25.\overline{24}$

Explanation:

The goal is to isolate the variable to one side.

0.33x+1.66=9.99

Subtract 1.66 from both sides:

0.33x+1.66-1.66=9.99-1.66

0.33x=8.33

Divide each side by 0.33 :

$\frac{0.33x}{0.33}=\frac{8.33}{0.33}$

$x=25.\overline{24}$

Report an Error

Example Question #2 : Two Step Equations With Decimals

Solve for :

.5x+.08=1.68

Possible Answers:

3.2

3.44

3.28

Correct answer:

3.2

Explanation:

Step 1: Subtract from both sides:

.5x+.08-.08=1.68-.08

.5x+0=1.6

.5x=1.6

Step 2: Divide both sides by :

$\frac{.5x}{.5}= \frac{1.6}{.5}$

x=3.2

Report an Error

Example Question #3 : Two Step Equations With Decimals

Solve for p:

1.5p+0.25=3.25

Possible Answers:

p=2

p=2.5

p=3.5

p=3

Correct answer:

p=2

Explanation:

1.5p+0.25=3.25

1.5p+0.25-0.25=3.25-0.25

1.5p=3.0

$\frac{1.5p}{1.5}=\frac{3.0}{1.5}$

p=2

Report an Error

Example Question #3 : Two Step Equations With Decimals

$\frac{x }{3.2}- 1.6 = 5.4$

Possible Answers:

x= 12.16

x = 22.4

x = 2.1875

x = 18.88

x = 1.1875

Correct answer:

x = 22.4

Explanation:

$\frac{x }{3.2}- 1.6 = 5.4$

$\frac{x }{3.2}- 1.6 + 1.6= 5.4 + 1.6$

$\frac{x }{3.2} = 7$

$\frac{x }{3.2} \cdot 3.2 = 7\cdot 3.2$

x = 22.4

Report an Error

Example Question #5 : Two Step Equations With Decimals

Solve for :

2.4x - 1.2 = 8.1

Possible Answers:

x = 4.575

x = 3.875

x = 22.32

x = 2.875

x = 16.56

Correct answer:

x = 3.875

Explanation:

2.4x - 1.2 = 8.1

2.4x - 1.2+ 1.2 = 8.1 + 1.2

2.4x = 9.3

$2.4x \div 2.4= 9.3 \div 2.4$

x = 3.875

Report an Error

Example Question #161 : Algebraic Equations

Solve for :

$\frac{x - 1.6}{3.2} = 10$

Possible Answers:

x = 37.12

x = 33.6

x= 4.725

x= 1.525

x = 30.4

Correct answer:

x = 33.6

Explanation:

$\frac{x - 1.6}{3.2} = 10$

$\frac{x - 1.6}{3.2} \cdot 3.2 = 10 \cdot 3.2$

x - 1.6 = 32

x - 1.6 + 1.6 = 32 + 1.6

x = 33.6

Report an Error

Example Question #2 : Two Step Equations With Decimals

Solve for .

.1x+.9=2

Possible Answers:

x=20

x=10

x=.1

x=1.9

x=11

Correct answer:

x=11

Explanation:

To solve this problem, move all terms with x on one side and all other terms on the other side. We now get

.1x=2-.9

.1x=1.1

x=11

Report an Error

Example Question #3 : Two Step Equations With Decimals

Solve for :

0.75x+0.25=4.75

Possible Answers:

6.25

5.75

Correct answer:

Explanation:

Explanation:

Step 1: Subtract 0.25 from both sides:

0.75x+0.25-0.25=4.75-0.25

0.75x+0=4.5

0.75x=4.5

Step 2: Divide both sides by 0.75 :

$\frac{0.75x}{0.75}=\frac{4.5}{0.75}$

x=6

Report an Error

Example Question #3 : Two Step Equations With Decimals

Solve the equation for .

0.9 + x = 2x - 0.7

Possible Answers:

x = 0.4

x = 1.6

x = 0.32

x = 0.2

x = -0.16

Correct answer:

x = 1.6

Explanation:

The correct answer to this question is x = 1.6 .

To start, you need to move 's one one side of the equation and numbers to the other side of the equation:

First, you subtract from both sides of the equation. Then, you will have put all of the 's on the same side of the equation:

0.9 + x-x = 2x - 0.7-x

0.9 = x - 0.7

Next, you add 0.7 to the left side of the equation to put all of the numbers on the same side of the equation:

0.9+0.7 = x - 0.7+0.7

0.9+0.7 = x

Once you do this, you can add the numbers on the left side of the equation together and find that x = 1.6 .

Report an Error

Example Question #4 : Two Step Equations With Decimals

Solve for x: 0.2x+99.4 = 108.9

Possible Answers:

x=41.66

x=1.9

x=1,041.5

x=47.5

x=4.75

Correct answer:

x=47.5

Explanation:

To solve, use inverse opperations: do the opposite steps in the opposite order. Order of opperations is usually PEMDAS, with addition and subtraction last, so we'll do addition/subtraction first:

0.2x+99.4 = 108.9 right now it says to add 99.4 , so we'll subtract it from both sides.

0.2x = 9.5 next we will do multiplication/dividion. Right now it is multiplying by 0.2 , so we will divide both sides by 0.2 .

x=47.5

Report an Error

View Pre-Algebra Tutors

Erika
Certified Tutor

Yale University, Bachelor in Arts, German Studies. Franz Liszt Academy of Music, Master of Fine Arts, Music Performance.

View Pre-Algebra Tutors

Allison
Certified Tutor

Asbury University, Bachelor of Education, Mathematics Teacher Education.

View Pre-Algebra Tutors

Robert
Certified Tutor

Northeastern Illinois University, Bachelor in Arts, Middle School Teaching.

All Pre-Algebra Resources

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

Popular Subjects

ACT Tutors in Philadelphia, Calculus Tutors in Denver, MCAT Tutors in Los Angeles, Chemistry Tutors in Atlanta, ACT Tutors in Dallas Fort Worth, ISEE Tutors in San Diego, Computer Science Tutors in Atlanta, GMAT Tutors in Atlanta, Statistics Tutors in Phoenix, French Tutors in Dallas Fort Worth

Popular Courses & Classes

ACT Courses & Classes in Denver, MCAT Courses & Classes in Los Angeles, Spanish Courses & Classes in Miami, ISEE Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in Miami, GMAT Courses & Classes in Denver, GRE Courses & Classes in Houston, MCAT Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in San Francisco-Bay Area, GRE Courses & Classes in Denver

Popular Test Prep

ISEE Test Prep in New York City, GRE Test Prep in Denver, ACT Test Prep in San Francisco-Bay Area, ISEE Test Prep in Boston, SSAT Test Prep in Phoenix, SAT Test Prep in Chicago, SAT Test Prep in Miami, LSAT Test Prep in Dallas Fort Worth, LSAT Test Prep in Washington DC, SSAT 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

Pre-Algebra : Two-Step Equations with Decimals

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #1 : Two Step Equations With Decimals

Example Question #2 : Two Step Equations With Decimals

Example Question #3 : Two Step Equations With Decimals

Example Question #3 : Two Step Equations With Decimals

Example Question #5 : Two Step Equations With Decimals

Example Question #161 : Algebraic Equations

Example Question #2 : Two Step Equations With Decimals

Example Question #3 : Two Step Equations With Decimals

Example Question #3 : Two Step Equations With Decimals

Example Question #4 : Two 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: