We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Create an account to track your scores
and create your own practice tests:

Create an Account Create a Practice Test

Flashcards: Solving one-step problems

Tim can ride his bike eight miles in one hour. How long will it take him to ride forty miles?

Cannot be determined

$10\textup{ hours}$ $\displaystyle 10\textup{ hours}$

$4\textup{ hours}$ $\displaystyle 4\textup{ hours}$

$15\textup{ hours}$ $\displaystyle 15\textup{ hours}$

$5\textup{ hours}$ $\displaystyle 5\textup{ hours}$

Report an Error Copyright Notice

All TACHS Math Resources

43 Practice Tests Question of the Day Flashcards Learn by Concept

Want to review TACHS Math but don’t feel like sitting for a whole test at the moment? Varsity Tutors has you covered with thousands of different TACHS Math flashcards! Our TACHS Math flashcards allow you to practice with as few or as many questions as you like. Get some studying in now with our numerous TACHS Math flashcards.

Flashcards: Solving one-step problems

Tim can ride his bike eight miles in one hour. How long will it take him to ride forty miles?

Cannot be determined

$10\textup{ hours}$ $\displaystyle 10\textup{ hours}$

$4\textup{ hours}$ $\displaystyle 4\textup{ hours}$

$15\textup{ hours}$ $\displaystyle 15\textup{ hours}$

$5\textup{ hours}$ $\displaystyle 5\textup{ hours}$

Report an Error Copyright Notice

Flashcards: Solving one-step problems

Tim can ride his bike eight miles in one hour. How long will it take him to ride forty miles?

Your answer:

Cannot be determined

Your answer:

$10\textup{ hours}$ $\displaystyle 10\textup{ hours}$

Your answer:

$4\textup{ hours}$ $\displaystyle 4\textup{ hours}$

Your answer:

$15\textup{ hours}$ $\displaystyle 15\textup{ hours}$

Correct answer:

$5\textup{ hours}$ $\displaystyle 5\textup{ hours}$

Explanation:

If Tim can ride his bike eight miles in one hour then we can write the following ratio:

$\frac{8\textup{ miles}}{1\textup{ hour}}$ $\displaystyle \frac{8\textup{ miles}}{1\textup{ hour}}$

Next, we want to know how long it will take him to ride forty miles. We can write the following ratio:

$\frac{40\textup{ miles}}{x\textup{ hours}}$ $\displaystyle \frac{40\textup{ miles}}{x\textup{ hours}}$

Next, we can set these equal to one another and form a proportion.

$\frac{8\textup{ miles}}{1\textup{ hour}}=\frac{40\textup{ miles}}{x\textup{ hours}}$ $\displaystyle \frac{8\textup{ miles}}{1\textup{ hour}}=\frac{40\textup{ miles}}{x\textup{ hours}}$

Cross multiply and solve for the variable.

$\frac{8\textup{ miles}}{1\textup{ hour}}\times\frac{40\textup{ miles}}{x\textup{ hours}}$ $\displaystyle \frac{8\textup{ miles}}{1\textup{ hour}}\times\frac{40\textup{ miles}}{x\textup{ hours}}$

Simplify.

$8\times x=40\times1$ $\displaystyle 8\times x=40\times1$

8x=40 $\displaystyle 8x=40$

Divide each side of the equation by $\displaystyle 8$.

$\frac{8x}{8}=\frac{40}{8}$ $\displaystyle \frac{8x}{8}=\frac{40}{8}$

Solve.

$x=5\textup{ hours}$ $\displaystyle x=5\textup{ hours}$

Flashcards: Solving one-step problems

Barry, Jerry, and Mary order a pizza. Barry pays half the cost; Jerry pays one third of the cost; Mary pays the rest, which is $3. How much did the pizza cost?

$\$21$ $\displaystyle \$21$

$\$15$ $\displaystyle \$15$

$\$ 20$ $\displaystyle \$ 20$

$\$18$ $\displaystyle \$18$

Report an Error Copyright Notice

Flashcards: Solving one-step problems

Barry, Jerry, and Mary order a pizza. Barry pays half the cost; Jerry pays one third of the cost; Mary pays the rest, which is $3. How much did the pizza cost?

Your answer:

$\$21$ $\displaystyle \$21$

Your answer:

$\$15$ $\displaystyle \$15$

Your answer:

$\$ 20$ $\displaystyle \$ 20$

Correct answer:

$\$18$ $\displaystyle \$18$

Explanation:

Let $\displaystyle C$ be the cost of the pizza. Barry paid half the cost of the pizza, which is $\frac{1}{2}C$ $\displaystyle \frac{1}{2}C$; Jerry paid one third of the cost, which is $\frac{1}{3}C$ $\displaystyle \frac{1}{3}C$, and Mary paid $3. The sum of their shares of the cost is equal to the total cost, so the equation to set up is

$C =\frac{1}{2}C+ \frac{1}{3}C + 3$ $\displaystyle C =\frac{1}{2}C+ \frac{1}{3}C + 3$

Solve for $\displaystyle C$ by isolating the variable at left. First, at right, collect the like terms by adding the coefficients of $\displaystyle C$. This requires finding the least common denominator of the two fractions, which is 6:

$C =\frac{1 \cdot 3}{2 \cdot 3}C+ \frac{1 \cdot 2}{3 \cdot 2}C + 3$ $\displaystyle C =\frac{1 \cdot 3}{2 \cdot 3}C+ \frac{1 \cdot 2}{3 \cdot 2}C + 3$

$C =\frac{ 3}{6}C+ \frac{2}{6}C + 3$ $\displaystyle C =\frac{ 3}{6}C+ \frac{2}{6}C + 3$

$C =\left (\frac{ 3}{6} + \frac{2}{6} \right )C + 3$ $\displaystyle C =\left (\frac{ 3}{6} + \frac{2}{6} \right )C + 3$

$C = \frac{5}{6} C + 3$ $\displaystyle C = \frac{5}{6} C + 3$

Subtract $\frac{5}{6} C$ $\displaystyle \frac{5}{6} C$ from both sides, again by collecting like terms:

$C - \frac{5}{6}C = \frac{5}{6} C + 3 - \frac{5}{6}C$ $\displaystyle C - \frac{5}{6}C = \frac{5}{6} C + 3 - \frac{5}{6}C$

$\frac{6}{6} C - \frac{5}{6}C = 3$ $\displaystyle \frac{6}{6} C - \frac{5}{6}C = 3$

$\left (\frac{6}{6} - \frac{5}{6} \right )C = 3$ $\displaystyle \left (\frac{6}{6} - \frac{5}{6} \right )C = 3$

$\frac{1}{6} C = 3$ $\displaystyle \frac{1}{6} C = 3$

Now multiply both sides by 6 to reverse multiplication by $\frac{1}{6}$ $\displaystyle \frac{1}{6}$:

$6\cdot \frac{1}{6} C =6 \cdot 3$ $\displaystyle 6\cdot \frac{1}{6} C =6 \cdot 3$

C = 18 $\displaystyle C = 18$

The pizza cost $18.

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)

View Tutors

Christine
Certified Tutor

California University of Pennsylvania, Bachelor of Science, Elementary School Teaching. Coastal Carolina University, Master o...

View Tutors

Abdul Azeez
Certified Tutor

University of Manitoba, Master's/Graduate, Business.

View Tutors

Luz
Certified Tutor

CUNY Hunter College, Bachelor, Communications.

Popular Subjects

Calculus Tutors in Denver, ACT Tutors in Seattle, ACT Tutors in New York City, Algebra Tutors in Washington DC, Algebra Tutors in New York City, SAT Tutors in Chicago, French Tutors in Washington DC, English Tutors in Chicago, ACT Tutors in Boston, LSAT Tutors in Houston

Popular Courses & Classes

GMAT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in New York City, ACT Courses & Classes in Boston, ISEE Courses & Classes in Atlanta, GMAT Courses & Classes in Phoenix, SAT Courses & Classes in New York City, GMAT Courses & Classes in New York City, SSAT Courses & Classes in Phoenix, SAT Courses & Classes in Denver, MCAT Courses & Classes in Washington DC

Popular Test Prep

GRE Test Prep in Atlanta, ISEE Test Prep in Houston, SSAT Test Prep in Denver, MCAT Test Prep in Phoenix, SAT Test Prep in San Diego, SSAT Test Prep in San Francisco-Bay Area, ISEE Test Prep in San Francisco-Bay Area, SAT Test Prep in San Francisco-Bay Area, LSAT Test Prep in Phoenix, LSAT Test Prep in Houston

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Create an account to track your scores
and create your own practice tests:

Flashcards: Solving one-step problems

All TACHS Math Resources

Flashcards: Solving one-step problems

Flashcards: Solving one-step problems

Flashcards: Solving one-step problems

Flashcards: Solving one-step problems

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback:

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Create an account to track your scores and create your own practice tests:

Flashcards: Solving one-step problems

All TACHS Math Resources

Flashcards: Solving one-step problems

Flashcards: Solving one-step problems

Flashcards: Solving one-step problems

Flashcards: Solving one-step problems

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Create an account to track your scores
and create your own practice tests: