We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

High School Math : How to solve two-step equations with fractions in pre-algebra

Study concepts, example questions & explanations for High School Math

Create An Account

All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Solve Two Step Equations With Fractions In Pre Algebra

Solve for :

$\frac{12}{x} + 9 = 13$

Possible Answers:

$\frac{1}{4}$

$\frac{1}{3}$

Correct answer:

Explanation:

This equation can be solved in three steps.

First, subtract from both sides of the equation to isolate the variable and its coefficient on the left side of the equation.

$\frac{12}{x} + 9 = 13$

$\rightarrow (\frac{12}{x} + 9) - 9 = (13) - 9$

$\rightarrow \frac{12}{x} = 4$

Now multiply both sides by since cannot be solved for while it is in the denominator.

$(\frac{12}{x}) \times x = (4) \times x$

$\rightarrow 12 = 4x$

Finally, divide both sides by to isolate and find the solution.

$\frac{(12)}{4} = \frac{(4x)}{4}$

$\rightarrow 3 = x$

Report an Error

Example Question #2 : How To Solve Two Step Equations With Fractions In Pre Algebra

Solve for $\small a$ .

$\frac{12}{a}-7=-1$

Possible Answers:

a=2

$a=\frac{1}{2}$

a=1

a=3

Correct answer:

a=2

Explanation:

$\frac{12}{a}-7=-1$

Add 7 to both sides.

$\frac{12}{a}-7+7=-1+7$

$\frac{12}{a}=6$

Multiply both sides by $\small a$ .

$\frac{12}{a}(a)=6a$

12=6a

Divide both sides by 6.

$\frac{12}{6}=\frac{6a}{6}$

2=a

Report an Error

Example Question #2 : How To Solve Two Step Equations With Fractions In Pre Algebra

Solve for $\small x$ .

$(2x\div4) +5 = 25$

Possible Answers:

x=0

x=20

x=40

x=25

x=2/6

Correct answer:

x=40

Explanation:

$(2x\div4) +5 = 25$

We need to isolate $\small x$ . First, subtract $\small 5$ from both sides.

$(2x\div4) +5-5 = 25-5$

$(2x\div4) = 20$

Multiply both sides by $\small 4$ .

$2x\div4 *4= 20*4$

2x=80

Finally, divide both sides by $\small 2$ .

$\frac{2x}{2}=\frac{80}{2}$

x=40

Report an Error

Example Question #2 : How To Solve Two Step Equations With Fractions In Pre Algebra

Solve for the value of $\small a$ .

$\frac{a}{4}+3=12$

Possible Answers:

a=36

$a=\frac{15}{4}$

a=60

$a=\frac{9}{4}$

Correct answer:

a=36

Explanation:

$\frac{a}{4}+3=12$

We need to work to isolate the variable using inverse functions.

Subtract $\small 3$ from both sides.
$\frac{a}{4}+3-3=12-3$

$\frac{a}{4}=9$

Multiply both sides by $\small 4$ .

$(4)\frac{a}{4}=(4)(9)$

a=36

Report an Error

Example Question #3 : How To Solve Two Step Equations With Fractions In Pre Algebra

$x=\frac{2}{3}*18$

Solve for .

Possible Answers:

Correct answer:

Explanation:

$x=\frac{2}{3}*18$

From here, you can either plug this into your calculator, or take the equation in pieces:

$x=\frac{2*18}{3}$

$x=\frac{36}{3}$

x=12

Report an Error

Example Question #501 : High School Math

$\frac{2}{3}*(x+5)=12$

Solve for .

Possible Answers:

$10\tfrac{1}2{}$

Correct answer:

Explanation:

To solve $\frac{2}{3}*(x+5)=12$ , first we need to get rid of the fraction. Dividing by a fraction is the same as multiplying by a reciprocal, so multiply both sides by $\frac{3}{2}$ .

$\frac{2}{3}*(x+5)=12$

$\frac{3}{2}*\frac{2}{3}*(x+5)=12*\frac{3}{2}$

$x+5=12*\frac{3}{2}$

$x+5=\frac{12*3}{2}$

$x+5=\frac{36}{2}$

x+5=18

Subtract from both sides.

x+5-5=18-5

x=18-5

x=13

Report an Error

Example Question #83 : How To Solve Two Step Equations

$\frac{2}{3}x=10$

Solve for .

Possible Answers:

$\frac{3}{20}$

$\frac{20}{3}$

Correct answer:

Explanation:

To solve $\frac{2}{3}x=10$ , we need to get rid of the fraction. To do that, we multiply both sides by the reciprocal of that fraction.

$\frac{3}{2}*\frac{2}{3}x=10*\frac{3}{2}$

$x=10*\frac{3}{2}$

From here, you can either plug that fraction into your calculator or solve in pieces.

$x=\frac{10*3}{2}$

$x=\frac{30}{2}$

x=15

Report an Error

Example Question #503 : High School Math

$\frac{3}{4}x=118+2$

Solve for .

Possible Answers:

$88\tfrac{1}{2}$

$157\tfrac{1}{3}$

160

480

Correct answer:

160

Explanation:

To solve for , we need to isolate our variable. That means that we want ONLY the on the left side of the equation.

First, combine our like terms on the right side.

$\frac{3}{4}x=118+2$

$\frac{3}{4}x=120$

Now divide both sides by $\frac{3}{4}$ . Remember, dividing by a fraction is the same as multiplying by the reciprocal, so we're going to multiply both sides by $\frac{4}{3}$ .

$\frac{3}{4}x*\frac{4}{3}=120*\frac{4}{3}$

Since $\frac{3}{4}*\frac{4}{3}=\frac{12}{12}=1$ , we can ignore it.

$x=\frac{120}{1}*\frac{4}{3}$

$x=\frac{480}{3}$

x=160

Report an Error

Example Question #2 : How To Solve Two Step Equations With Fractions In Pre Algebra

A glass jar is filled to the top with 100 blue marbles, 75 red marbles, and 25 yellow marbles. Each time a marbles is picked from the jar, it must be returned to the jar before another marble is picked again. What is the probability of picking a red marble?

Possible Answers:

1/8

3/8

2/3

3/4

5/8

Correct answer:

3/8

Explanation:

First, find the total number of marbles in the glass jar: 100 + 75 + 25 = 200 marbles in total.

It is given that there are 75 red marbles, thus: 75/200 = 3/8 .

Report an Error

Example Question #2 : How To Solve Two Step Equations With Fractions In Pre Algebra

$15=\frac{Y}{3}-9$

Y=?

Possible Answers:

Correct answer:

Explanation:

First add 9 to both sides:

$15+(9)=\frac{Y}{3}-9+(9)$

$24=\frac{Y}{3}$

Then multiply both sides by 3:

$24\left ( 3\right )=\frac{Y}{3}\left ( 3\right )$

72=Y

Report an Error

View Tutors

Julia
Certified Tutor

Adelphi University, Bachelor of Science, Biology, General.

View Tutors

Kathleen
Certified Tutor

Occidental College, Bachelor of Science, Biology, General.

View Tutors

Jennifer
Certified Tutor

California State University-Sacramento, Bachelor in Arts, Education.

All High School Math Resources

8 Diagnostic Tests 613 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Biology Tutors in Washington DC, French Tutors in Boston, French Tutors in Houston, Reading Tutors in San Francisco-Bay Area, GMAT Tutors in Philadelphia, SAT Tutors in Boston, SSAT Tutors in San Diego, Biology Tutors in Boston, ACT Tutors in Houston, Computer Science Tutors in New York City

Popular Courses & Classes

ISEE Courses & Classes in Houston, MCAT Courses & Classes in Denver, SSAT Courses & Classes in San Diego, SSAT Courses & Classes in San Francisco-Bay Area, ACT Courses & Classes in Denver, GMAT Courses & Classes in Denver, ACT Courses & Classes in Houston, SAT Courses & Classes in Philadelphia, GRE Courses & Classes in Houston, GMAT Courses & Classes in Seattle

Popular Test Prep

LSAT Test Prep in Houston, ISEE Test Prep in San Diego, SSAT Test Prep in Los Angeles, GMAT Test Prep in San Francisco-Bay Area, LSAT Test Prep in Phoenix, MCAT Test Prep in New York City, ACT Test Prep in Denver, ISEE Test Prep in Houston, SAT Test Prep in Denver, LSAT Test Prep in San Francisco-Bay Area

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

High School Math : How to solve two-step equations with fractions in pre-algebra

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #1 : How To Solve Two Step Equations With Fractions In Pre Algebra

Example Question #2 : How To Solve Two Step Equations With Fractions In Pre Algebra

Example Question #2 : How To Solve Two Step Equations With Fractions In Pre Algebra

Example Question #2 : How To Solve Two Step Equations With Fractions In Pre Algebra

Example Question #3 : How To Solve Two Step Equations With Fractions In Pre Algebra

Example Question #501 : High School Math

Example Question #83 : How To Solve Two Step Equations

Example Question #503 : High School Math

Example Question #2 : How To Solve Two Step Equations With Fractions In Pre Algebra

Example Question #2 : How To Solve Two Step Equations With Fractions In Pre Algebra

All High School Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: