Call Now to Set Up Tutoring:

(888) 888-0446

HSPT Math : Concepts

Study concepts, example questions & explanations for HSPT Math

Create An Account

All HSPT Math Resources

6 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #781 : Concepts

Select the equation that reflects the phrase below.

$\displaystyle 76$ divided by the product of $\displaystyle 19$ and $\displaystyle 4$

Possible Answers:

$76\div(19\times4)$ $\displaystyle 76\div(19\times4)$

$76\div19\times4$ $\displaystyle 76\div19\times4$

$76\div(19+4)$ $\displaystyle 76\div(19+4)$

$76\div(19-4)$ $\displaystyle 76\div(19-4)$

$76\div19+4$ $\displaystyle 76\div19+4$

Correct answer:

$76\div(19\times4)$ $\displaystyle 76\div(19\times4)$

Explanation:

$\displaystyle 76$ needs to be listed first because that's the number that is getting divided. However, we need to do the multiplication problem first to find out what number we are dividing into $\displaystyle 76$ , so we need to put the multiplication problem into parentheses.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

Report an Error

Example Question #782 : Concepts

Select the equation that reflects the phrase below.

Add $\displaystyle 17$ to the difference between $\displaystyle 63$ and $\displaystyle 38$

Possible Answers:

$63\div38+17$ $\displaystyle 63\div38+17$

$\displaystyle 63+38+17$

$\displaystyle 63-38+17$

$63-38\times17$ $\displaystyle 63-38\times17$

$\displaystyle 63-38-17$

Correct answer:

$\displaystyle 63-38+17$

Explanation:

Difference means the answer to a subtraction problem. Because we are adding a number to the difference, we need to do the subtraction problem first. Since we are adding and subtracting in this question, we do not need to use parentheses because with addition and subtraction you work the problem out from left to right. So first we have the subtraction problem, then we add.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

Report an Error

Example Question #783 : Concepts

Select the equation that reflects the phrase below.

Add $\displaystyle 19$ to the product of $\displaystyle 5$ and $\displaystyle 9$

Possible Answers:

$19+5\times9$ $\displaystyle 19+5\times9$

$(19+5)\times9$ $\displaystyle (19+5)\times9$

$19-5\times9$ $\displaystyle 19-5\times9$

$19+5\div9$ $\displaystyle 19+5\div9$

19+5+9 $\displaystyle 19+5+9$

Correct answer:

$19+5\times9$ $\displaystyle 19+5\times9$

Explanation:

Product means the answer to a multiplication problem. Becuase of our order of operation rules, the multiplication problem will come first, regardless of if it's listed first or second. Then we add.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

Report an Error

Example Question #784 : Concepts

Select the equation that reflects the phrase below.

Find the sum of $\displaystyle 16$ and $\displaystyle 20$ and then divide $\displaystyle 6$

Possible Answers:

$(16+20)\div6$ $\displaystyle (16+20)\div6$

$(16-20)\div6$ $\displaystyle (16-20)\div6$

$16+20\div6$ $\displaystyle 16+20\div6$

$16\times20\div6$ $\displaystyle 16\times20\div6$

$(16\div20)\div6$ $\displaystyle (16\div20)\div6$

Correct answer:

$(16+20)\div6$ $\displaystyle (16+20)\div6$

Explanation:

When you are asked to find the sum that means we are going to add. Because the phrase says "then divide" we need to put the addition problem in parentheses because of our order of operations. Then we can divide.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

Report an Error

Example Question #785 : Concepts

Select the equation that reflects the phrase below.

Divide the product of $\displaystyle 12$ and $\displaystyle 6$ by $\displaystyle 3$

Possible Answers:

$12+6\div4$ $\displaystyle 12+6\div4$

$12\times(6\div4)$ $\displaystyle 12\times(6\div4)$

$12-6\div4$ $\displaystyle 12-6\div4$

$12\times6\times4$ $\displaystyle 12\times6\times4$

$12\times6\div4$ $\displaystyle 12\times6\div4$

Correct answer:

$12\times6\div4$ $\displaystyle 12\times6\div4$

Explanation:

When you are asked to find the product that means we are going to multiply. Because we are multiplying and dividing in this question, we do not need to use parentheses because with multiplication and division you work the problem out from left to right. So first we have the multiplication problem, then we divide.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

Report an Error

Example Question #786 : Concepts

Select the equation that reflects the phrase below.

Divide $\displaystyle 12$ by the quotient of $\displaystyle 18$ divided by $\displaystyle 6$

Possible Answers:

$12\div(18\times6)$ $\displaystyle 12\div(18\times6)$

$12\div18\div6$ $\displaystyle 12\div18\div6$

$12\div(18+6)$ $\displaystyle 12\div(18+6)$

$12\div18\times6$ $\displaystyle 12\div18\times6$

$12\div(18\div6)$ $\displaystyle 12\div(18\div6)$

Correct answer:

$12\div(18\div6)$ $\displaystyle 12\div(18\div6)$

Explanation:

Quotient means the answer to a division problem. Because we want to divide $\displaystyle 12$ by the answer of $18\div3$ $\displaystyle 18\div3$ we need to put that in parentheses so that it's done first.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

Report an Error

Example Question #787 : Concepts

Select the equation that reflects the phrase below.

Add $\displaystyle 15$ and $\displaystyle 7$ and then multiply $\displaystyle 3$ by the sum

Possible Answers:

$(15-7)\times3$ $\displaystyle (15-7)\times3$

$15+7\times3$ $\displaystyle 15+7\times3$

$(15+7)\div3$ $\displaystyle (15+7)\div3$

$(15+7)\times3$ $\displaystyle (15+7)\times3$

$15-7\times3$ $\displaystyle 15-7\times3$

Correct answer:

$(15+7)\times3$ $\displaystyle (15+7)\times3$

Explanation:

Because we are multiplying by the sum, which is the answer to an addition problem, we first need to add so we need to put the addition problem in parentheses, then we can do the multiplication.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

Report an Error

Example Question #788 : Concepts

Select the equation that reflects the phrase below.

$\displaystyle 28$ divided by the difference between $\displaystyle 14$ and $\displaystyle 7$

Possible Answers:

$28\div(14+7)$ $\displaystyle 28\div(14+7)$

$28\div14-7$ $\displaystyle 28\div14-7$

$28\div(14-7)$ $\displaystyle 28\div(14-7)$

$28\div14+7$ $\displaystyle 28\div14+7$

$28\div(14\times7)$ $\displaystyle 28\div(14\times7)$

Correct answer:

$28\div(14-7)$ $\displaystyle 28\div(14-7)$

Explanation:

Because we are dividing by the difference, or answer, from the subtraction problem, we first need to subtract. In order for the subtraction problem to go first, we need to put that in parentheses.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

Report an Error

Example Question #789 : Concepts

Select the equation that reflects the phrase below.

Find $\displaystyle 34$ more than $\displaystyle 43$ and then find $\displaystyle 20$ less than the sum.

Possible Answers:

$\displaystyle 43+34-20$

$43\times34+20$ $\displaystyle 43\times34+20$

$\displaystyle 43-34-20$

$43\times34-20$ $\displaystyle 43\times34-20$

$\displaystyle 43+34+20$

Correct answer:

$\displaystyle 43+34-20$

Explanation:

The phrase "more than" means to add. Because we are adding and subtracting in this question, we do not need to use parentheses because with addition and subtraction you work the problem out from left to right. So first we have the addition problem, then we subtract.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

Report an Error

Example Question #790 : Concepts

Select the equation that reflects the phrase below.

Find $\displaystyle 21$ less than the product of $\displaystyle 6$ and $\displaystyle 7$

Possible Answers:

6+7-21 $\displaystyle 6+7-21$

$6\times7+21$ $\displaystyle 6\times7+21$

$6\times7-21$ $\displaystyle 6\times7-21$

$6\times7\times21$ $\displaystyle 6\times7\times21$

$6\times7\div21$ $\displaystyle 6\times7\div21$

Correct answer:

$6\times7-21$ $\displaystyle 6\times7-21$

Explanation:

The phrase "less than the product" means that we are going to subtract $\displaystyle 21$ from the answer of our multiplication problem. Because of our order of operations, multiplication will come beore subtraction so we do not need to use parentheses.

Remember, order of operations is PEMDAS= parentheses, exponents, multiplication/division, addition/subtraction.

Report an Error

View Tutors

Sasha
Certified Tutor

Arizona State University, Bachelor of Science, Biochemistry.

View Tutors

Ana
Certified Tutor

Grand Canyon University, Bachelors, Education. Grand Canyon University, Masters, Education.

View Tutors

Iffy
Certified Tutor

University of Maryland-Baltimore County, Bachelor of Science, Computer Engineering, General. University of Maryland-College P...

All HSPT Math Resources

6 Diagnostic Tests 130 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

GRE Tutors in Los Angeles, Math Tutors in Denver, Physics Tutors in Philadelphia, GRE Tutors in Denver, ISEE Tutors in Philadelphia, English Tutors in Philadelphia, French Tutors in San Diego, Spanish Tutors in Phoenix, GMAT Tutors in San Diego, SAT Tutors in Boston

Popular Courses & Classes

GMAT Courses & Classes in Denver, MCAT Courses & Classes in Denver, SSAT Courses & Classes in Houston, Spanish Courses & Classes in Phoenix, GMAT Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in Philadelphia, GRE Courses & Classes in Miami, LSAT Courses & Classes in Atlanta, ISEE Courses & Classes in Miami, LSAT Courses & Classes in Miami

Popular Test Prep

MCAT Test Prep in Houston, LSAT Test Prep in New York City, LSAT Test Prep in Washington DC, LSAT Test Prep in Denver, ISEE Test Prep in Los Angeles, SSAT Test Prep in Miami, SAT Test Prep in San Diego, MCAT Test Prep in Chicago, GRE Test Prep in Denver, ISEE 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

HSPT Math : Concepts

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #781 : Concepts

Example Question #782 : Concepts

Example Question #783 : Concepts

Example Question #784 : Concepts

Example Question #785 : Concepts

Example Question #786 : Concepts

Example Question #787 : Concepts

Example Question #788 : Concepts

Example Question #789 : Concepts

Example Question #790 : Concepts

All HSPT Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: