Call Now to Set Up Tutoring:

(888) 888-0446

TACHS Math : Math

Study concepts, example questions & explanations for TACHS Math

Create An Account

All TACHS Math Resources

43 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #2 : Decimals

Tiffany earns $\$1500$ each week. If Mark earns $15\%$ less than Tiffany, what is the sum of their salaries each week?

Possible Answers:

2775

2875

3225

3025

Correct answer:

2775

Explanation:

Start by finding out how much Mark makes. Since he makes $15\%$ less than Tiffany, we can write the following to find Mark's weekly salary:

1500-0.15(1500)=1275

Mark must make $\$1275$ each week. Now, add together their salaries to find the sum.

1500+1275=2775

Report an Error

Example Question #1 : Decimals

Rachel earns $\$12.50$ an hour as an assistant in a science lab. How many hour work weeks will she need to work in order to pay for a car that costs $\$3000$ ?

Possible Answers:

Cannot be determined

Correct answer:

Explanation:

Start by figuring out how much Rachel can earn in each week by multiplying her hourly rate by the number of hours worked each week.

$\text{Earning each week}=12.50\times 40=500$

Now, divide the amount she needs to earn by the amount earned each week to find how many weeks she will need to work to earn that amount.

$\frac{3000}{500}=6$

Rachel must work for weeks in order to earn enough for the car.

Report an Error

Example Question #11 : Math

Add.

3.74+22.786

Possible Answers:

26.526

27.526

23.453

32.524

Correct answer:

26.526

Explanation:

In order to solve this problem we need to line up the decimal places and add.

$\frac{\begin{array}[b]{r}3.740\\\ +\ 22.786\end{array}}{ \ \ \ \space 26.526}$

Report an Error

Example Question #1 : Fractions

What is the value of $\frac{3}{4 }+\frac{1}{2}-\frac{2}{3}$ ?

Possible Answers:

$\frac{5}{12}$

$\frac{7}{12}$

$\frac{3}{4}$

$\frac{1}{3}$

Correct answer:

$\frac{7}{12}$

Explanation:

Start with finding the value of $\frac{3}{4 }+\frac{1}{2}$ .

In order to add fractions with different denominators, we will need to change one or both denominators first. Notice that is a factor of , which means we can multiply the numerator and the denominator of $\frac{1}{2}$ by to get $\frac{2}{4}$ .

Now, add the two fractions together as they have the same denominator.

$\frac{3}{4}+\frac{1}{2}=\frac{3}{4}+\frac{2}{4}=\frac{5}{4}$

Next, solve $\frac{5}{4}-\frac{2}{3}$ .

The least common multiple of and is .

Thus, $\frac{5}{4}-\frac{2}{3}=\frac{15}{12}-\frac{8}{12}=\frac{7}{12}$

Report an Error

Example Question #11 : Tachs: Math And Ability

Janice's car can travel miles on one gallon of gas. Her car can normally hold gallons of gas, but it is only $\frac{2}{3}$ full. How many miles can Janice travel before the tank is empty?

Possible Answers:

360

450

270

300

Correct answer:

300

Explanation:

Start by finding out how many gallons is currently in Janice's tank.

Since it is only $\frac{2}{3}$ full,

$\frac{2}{3}\times 15=10$ .

The tank only has gallons in it right now. Multiply this by the number of miles traveled per gallon to find how far Janice can travel before the tank is empty.

$10 \times 30 = 300$

Report an Error

Example Question #2 : Fractions

What is the product of $\frac{5}{6}$ and $\frac{3}{8}$ ?

Possible Answers:

$\frac{3}{8}$

$\frac{5}{16}$

$\frac{7}{16}$

$\frac{1}{8}$

Correct answer:

$\frac{5}{16}$

Explanation:

Since the question asks for the product, you will need to multiply the two fractions. Recall that in multiplying two fractions, you will multiply the numerators together and then multiply the denominators together.

$\frac{5}{6}\times \frac{3}{8}=\frac{15}{48}$

Next, reduce the fraction.

$\frac{15}{48}=\frac{5}{16}$

Report an Error

Example Question #3 : Fractions

What is the difference between $\frac{11}{12}$ and $\frac{3}{4}$ ?

Possible Answers:

$\frac{1}{6}$

$\frac{1}{4}$

$\frac{1}{5}$

$\frac{1}{8}$

Correct answer:

$\frac{1}{6}$

Explanation:

Since the question asks you to find the difference, you will need to subtract the two fractions:

$\frac{11}{12}-\frac{3}{4}$

Start by making both denominators the same. Multiply the numerator and denominator of $\frac{3}{4}$ by to get $\frac{9}{12}$ .

Now, subtract.

$\frac{11}{12}-\frac{3}{4}=\frac{11}{12}-\frac{9}{12}=\frac{2}{12}$

Make sure to simplify the answer.

$\frac{2}{12}=\frac{1}{6}$

Report an Error

Example Question #1 : Fractions

Paul can type words per minute. If Josie can type $15\%$ faster than Paul can, how many words can Josie type in minutes?

Possible Answers:

1035

897

Cannot be determined

1173

Correct answer:

1035

Explanation:

Start by finding out Josie's typing rate.

Since she types $15\%$ faster, we can find her rate with the following equation:

60+0.15(60)=69

Since Josie types at words per minute, we can multiply by the total number of given minutes to find out how many words she can type in the given time frame.

$69 \times 15=1035$

Report an Error

Example Question #15 : Tachs: Math And Ability

Which of the following is the most reduced form of 2.4 ?

Possible Answers:

$2 \frac{4}{10}$

$\frac{24}{10}$

$\frac{22}{5}$

$2 \frac{2}{5}$

Correct answer:

$2 \frac{2}{5}$

Explanation:

Start by converting 2.4 into a fraction.

$\frac{2.4}{1} \times \frac{10}{10}=\frac{24}{10}$

We multiply both numerator and denominator by to get rid of the decimal.

Now, convert $\frac{24}{10}$ into a mixed number.

$\frac{24}{10}=2\frac{4}{10}=2\frac{2}{5}$

Report an Error

Example Question #1 : Order Of Operations

Evaluate:

$15 \times 8 - 12 + 25$

Possible Answers:

133

157

107

Correct answer:

133

Explanation:

In the order of operations, in the absence of grouping symbols, multiplication takes precedence over addition and subtraction. Multiply 15 by 8 first:

$15 \times 8 - 12 + 25$

=120 - 12 + 25

Addition and subtraction have equal precedence and are worked in left-to-right order. Subtract 120 and 12 next:

=108 + 25

Now add:

= 133

Report an Error

View Tutors

Donald
Certified Tutor

Cleveland State University, Bachelor of Science, Chemistry. University of Southern California, Doctor of Philosophy, Organic ...

View Tutors

Victoria
Certified Tutor

Norte Dame de Namur University, Bachelor in Arts, Sociology. University of San Francisco, Master of Arts, Organizational Lead...

View Tutors

Shweta
Certified Tutor

All India Management Association , Master's/Graduate, Human Resource Management . Indian Law Institute , Master's/Graduate, C...

All TACHS Math Resources

43 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

SSAT Tutors in Chicago, MCAT Tutors in Seattle, English Tutors in San Diego, SAT Tutors in Houston, Statistics Tutors in Chicago, ACT Tutors in Atlanta, Statistics Tutors in Phoenix, LSAT Tutors in Phoenix, Math Tutors in Dallas Fort Worth, Statistics Tutors in Miami

Popular Courses & Classes

ISEE Courses & Classes in New York City, MCAT Courses & Classes in Atlanta, SSAT Courses & Classes in New York City, ACT Courses & Classes in Philadelphia, Spanish Courses & Classes in Seattle, GMAT Courses & Classes in Atlanta, MCAT Courses & Classes in San Diego, ACT Courses & Classes in Seattle, MCAT Courses & Classes in Chicago, SAT Courses & Classes in Miami

Popular Test Prep

GMAT Test Prep in Atlanta, GMAT Test Prep in San Diego, SSAT Test Prep in Seattle, GRE Test Prep in Denver, GRE Test Prep in San Francisco-Bay Area, ISEE Test Prep in Seattle, MCAT Test Prep in Boston, MCAT Test Prep in Chicago, MCAT Test Prep in Denver, GMAT Test Prep in Chicago

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

TACHS Math : Math

Study concepts, example questions & explanations for TACHS Math

All TACHS Math Resources

Example Questions

Example Question #2 : Decimals

Example Question #1 : Decimals

Example Question #11 : Math

Example Question #1 : Fractions

Example Question #11 : Tachs: Math And Ability

Example Question #2 : Fractions

Example Question #3 : Fractions

Example Question #1 : Fractions

Example Question #15 : Tachs: Math And Ability

Example Question #1 : Order Of Operations

All TACHS Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: