Call Now to Set Up Tutoring:

(888) 888-0446

Pre-Algebra : Algebraic Equations

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 #33 : One Step Equations With Decimals

Solve for .

4.5-x=-9.3

Possible Answers:

4.8

-13.8

-4.8

6.4

13.8

Correct answer:

13.8

Explanation:

4.5-x=-9.3 Subtract both sides by 4.5 . We add the values up and put a negative sign in front it. We get -13.8 .

-x=-13.8 Since the left side is negative and right side is negative, we can divide both sides by . The left side will have two negatives cancel out to be a positive while the same occurs on the right side.

x=13.8

Report an Error

Example Question #34 : One Step Equations With Decimals

-0.4x=0.8

Possible Answers:

-0.4

Correct answer:

Explanation:

-0.4x=0.8 Divide both sides by -0.4 . Both decimals each have one decimal place so the expression becomes: $\frac{-0.8}{0.4}=\frac{-8}{4}$ . When dividing negative values, we count the number of negative values. Since there's one, the answer is negative.

x=-2

Report an Error

Example Question #35 : One Step Equations With Decimals

Solve for .

$\frac{x}{0.8}=2.13$

Possible Answers:

170.4

0.1704

1704

1.704

17.04

Correct answer:

1.704

Explanation:

$\frac{x}{0.8}=2.13$ Multiply both sides by 0.8 . When multiplying decimals, first multiply normally and then count the number of decimal places in the problem. We have . So starting from the right, we shift three place to the left to get a decimal of 1.704 .

x=1.704

Report an Error

Example Question #36 : One Step Equations With Decimals

Solve for :

3.75b = 45

Possible Answers:

168.75

48.75

3.75

Correct answer:

Explanation:

3.75b = 45

Divide both sides by 3.75

b = 12

Report an Error

Example Question #31 : One Step Equations With Decimals

Solve the equation for x. Give your answer to three decimal places.

0.543+x=1.275

Possible Answers:

x=0.732

x=2.345

x=-0.732

x=1.818

x=0.692

Correct answer:

x=0.732

Explanation:

Solve by isolating x on one side of the equation and collecting the decimal terms without variables on the other.

x=1.275-0.543=0.732

Report an Error

Example Question #32 : One Step Equations With Decimals

Solve: 0.2+x = 50

Possible Answers:

100

48.2

250

49.8

Correct answer:

49.8

Explanation:

To solve this equation, we will need to isolate the unknown variable. Subtract 0.2 on both sides of the equation.

0.2+x -(0.2)= 50 -(0.2)

x=49.8

Report an Error

Example Question #31 : One Step Equations With Decimals

Solve for :

x-0.27=0.43

Possible Answers:

x=0.65

x=0.16

x=0.13

x=0.75

x=0.70

Correct answer:

x=0.70

Explanation:

To solve for "x" means to get x by itself on one side of the equation.

To isolate x we perform the opposite mathematical operation that the equation calls for. This ensures that we cancel out one term which is needed to move towards our goal of getting x by itself.

x-0.27=0.43

Add 0.27 to both sides:

$x{\color{Red} -0.27+0.27}=0.43 +0.27$

x=0.70

The red terms cancel each other out and the right side is added as usual. The simplest way to add or subtract decimals is to align the decimal points and perform the indicated mathematical operation as you would with whole numbers.

Report an Error

Example Question #33 : One Step Equations With Decimals

Solve: 0.2x = 10

Possible Answers:

100

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.

Therefore, divide both sides by 0.2 to solve for the unknown variable.

$\frac{0.2x }{0.2}= \frac{10}{0.2}=50$

Report an Error

Example Question #41 : One Step Equations With Decimals

Evaluate: 0.06x = 3

Possible Answers:

0.2

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 , divide both sides by 0.06 .

$\frac{0.06x}{0.06} = \frac{3}{0.06}$

x=50

If dividing by decimals is difficult, multiply the numerator and denominator by 100 to get whole numbers to divide.

$\frac{3\cdot 100}{0.06\cdot 100}=\frac{300}{6}$

Next factor the numerator to find a common factor to cancel out.

$=\frac{300}{6}=\frac{6\cdot 50}{6}=50$

Report an Error

Example Question #42 : One Step Equations With Decimals

Solve: 1.04x = -3.12

Possible Answers:

$-\frac{1}{3}$

2.08

-4.16

$\frac{1}{3}$

Correct answer:

Explanation:

To determine the value of the unknown variable, isolate the term by dividing both sides by 1.04 .

$\frac{1.04x}{1.04} = \frac{-3.12}{1.04}$

x=-3

If dividing by decimals is difficult, you can convert each decimal into an integer by multiplying each number by 100 or moving the decimal to the right two places.

$\\1.04\times 100 x=-3.12\times 100\\ 104x=-312$

Now divide,

$\frac{104x}{104}=\frac{-312}{104}=\frac{-3\cdot 104}{104}=-3$

Report an Error

View Pre-Algebra Tutors

Max
Certified Tutor

SHAHiDBEHESHTiUNiVERSiTY, Bachelor of Science, Mathematics. SHAHiDBEHESHTiUNiVERSiTY, Master of Science, Mathematics.

View Pre-Algebra Tutors

Karina
Certified Tutor

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

View Pre-Algebra Tutors

Aida M
Certified Tutor

Universidad Del Valle, Bachelor in Arts, Education.

All Pre-Algebra Resources

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

Popular Subjects

SSAT Tutors in San Diego, MCAT Tutors in New York City, ACT Tutors in Chicago, MCAT Tutors in San Diego, SSAT Tutors in Philadelphia, ISEE Tutors in Los Angeles, Computer Science Tutors in Seattle, French Tutors in Atlanta, ACT Tutors in San Francisco-Bay Area, Chemistry Tutors in Dallas Fort Worth

Popular Courses & Classes

MCAT Courses & Classes in Chicago, ISEE Courses & Classes in Miami, Spanish Courses & Classes in Phoenix, ACT Courses & Classes in Phoenix, ACT Courses & Classes in Chicago, SSAT Courses & Classes in Chicago, SAT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Phoenix, ACT Courses & Classes in Denver, GRE Courses & Classes in Dallas Fort Worth

Popular Test Prep

ACT Test Prep in Dallas Fort Worth, ISEE Test Prep in Dallas Fort Worth, ISEE Test Prep in Miami, MCAT Test Prep in Chicago, GMAT Test Prep in Boston, GRE Test Prep in Atlanta, MCAT Test Prep in Dallas Fort Worth, ISEE Test Prep in Phoenix, SAT Test Prep in Washington DC, GMAT 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 : Algebraic Equations

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #33 : One Step Equations With Decimals

Example Question #34 : One Step Equations With Decimals

Example Question #35 : One Step Equations With Decimals

Example Question #36 : One Step Equations With Decimals

Example Question #31 : One Step Equations With Decimals

Example Question #32 : One Step Equations With Decimals

Example Question #31 : One Step Equations With Decimals

Example Question #33 : One Step Equations With Decimals

Example Question #41 : One Step Equations With Decimals

Example Question #42 : 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: