Call Now to Set Up Tutoring:

(888) 888-0446

High School Math : 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 #31 : Whole Numbers

Evaluate the following expresssion.

$(4 - 7)^{2}$

Possible Answers:

$\frac{1}{9}$

Correct answer:

Explanation:

Recall the order of operations (PEMDAS). We want to combine the terms inside our parentheses first. Thus, 4 - 7 = -3 so we have our expression equivalent to:

$(-3)^{2} = 9$ . Don't forget to keep the in parentheses after you get it as the sum.

Report an Error

Example Question #12 : Operations And Properties

$3-7\ast8+4\div2=?$

Possible Answers:

Correct answer:

Explanation:

Remember the order of operations: "PEMDAS” or "Please Excuse My Dear Aunt Sally" stands for "Parentheses, Exponents, Multiplication and Division, Addition and Subtraction".

$3-7\ast8+4\div2=?$

$3-\left (7\ast8 \right )\left +(4\div2 \right )=$

3-56+2=

-53+2=-51

Report an Error

Example Question #31 : Pre Algebra

Simplify:

$6-(2+5^{2})$

Possible Answers:

Correct answer:

Explanation:

Follow the order of operations.

First take care of any exponents:

$6-(2+5^{2})$

= 6 - (2 + 25)

Then perform the operations in parentheses:

= 6 - 27

= -21

Report an Error

Example Question #32 : Pre Algebra

12+4^2=

Possible Answers:

256

Correct answer:

Explanation:

In terms of order of operations, you must first perform the exponent portions and then add to the 12:

4^2=16

16+12=28

Report an Error

Example Question #35 : High School Math

Simplify $\frac{8-(3*4)^-^1}{4-3^-^2^}$

Possible Answers:

$\frac{95}{12}$

$\frac{5}{12}$

$\frac{281}{14}$

$\frac{57}{28}$

Correct answer:

$\frac{57}{28}$

Explanation:

Applying the Order of Operations to the numerator, we get:

8-(3*4)^-^1

8 - 12^-^1

$8-\frac{1}{12}$

$\frac{96}{12} - \frac{1}{12}$

$\frac{95}{12}$

Applying the Order of Operations to the denominator, we get:

4-3^-^2

$4-\frac{1}{9}$

$\frac{36}{9} - \frac{1}{9}$

$\frac{35}{9}$

We divide these fractions to get:

$\frac{95}{12} \cdot \frac{9}{35}=\frac{19}{4}\cdot \frac{3}{7}=\frac{57}{28}$

Report an Error

Example Question #1 : How To Do Exponents In Pre Algebra

$Y^{3}\ast Y^{2}=?$

Possible Answers:

$Y^{5}$

$Y^{6}$

$Y^{2}$

$Y^{4}$

Correct answer:

$Y^{5}$

Explanation:

When you multiply exponents you can simply add the exponents:

$Y^{3}\ast Y^{2}=Y^{\left ( 3+2\right )}=Y^{5}$

Report an Error

Example Question #2 : How To Do Exponents In Pre Algebra

Evaluate the exponential expression.

$\small (2^3)^2$

Possible Answers:

128

Correct answer:

Explanation:

We can solve this problem in two different ways.

The first way is to evaluate the internal term, $\small 2^3$ , and then square it.

$\small (2^3)^2=(2*2*2)^2=(8)^2$

$\small 8^2=64$

The second method is to use the power rule of exponents, where we multiply the exponents and solve the resulting term.

$(x^a)^b=x^{a*b}$

$\small (2^3)^2=2^{3*2}=2^6=64$

Report an Error

Example Question #3 : How To Do Exponents In Pre Algebra

Evaluate $\dpi{100} \dpi{100} 9^{-\frac{1}{2}}$ .

Possible Answers:

$\sqrt{-3}$

$-\frac{1}{3}$

$\frac{1}{3}$

Correct answer:

$\frac{1}{3}$

Explanation:

The negative sign in the exponent indicates that in order to solve you should use the reciprocal of the integer.

$\dpi{100} 9^{-\frac{1}{2}}=\frac{1}{9^{\frac{1}{2}}}$

$\frac{1}{9^{\frac{1}{2}}}=\frac{1}{\sqrt{9}}$

$\rightarrow\frac{1}{3}$

Report an Error

Example Question #4 : How To Do Exponents In Pre Algebra

Evaluate $\dpi{100} (5^\frac{1}{2})^{2}$

Possible Answers:

$5^{2}$

$\sqrt{5}$

$5^{4}$

$\frac{1}{\sqrt{5}}$

Correct answer:

Explanation:

The laws of exponents state that when a number is raised to a certain power and then raised to another power then the exponents are multiplied by one another.

$(5^\frac{1}{2})^{2}=5^{(\frac{1}{2}*2)}$

Solve for the exponents.

$(\frac{1}{2}*2)=\frac{1}{2}*\frac{2}{1}$

$\rightarrow \frac{2}{2}\rightarrow1$

Therefore,

$\dpi{100} \dpi{100} (5^\frac{1}{2})^{2}=5^{1}$

$\rightarrow 5$

Report an Error

Example Question #2 : How To Do Exponents In Pre Algebra

What is $2^{5}=?$

Possible Answers:

Correct answer:

Explanation:

When a number is raised to a power it means that the number is multiplied by itself the same number of times as the number of the power.

In this case is raised to the 5th power so it is equivalent to 2*2*2*2*2

We then perform the necessary multiplication to arrive at the answer of .

Report an Error

View Tutors

Nathan
Certified Tutor

California Polytechnic State University, San Luis Obispo, Bachelor, Electrical Engineering.

View Tutors

Elizabeth
Certified Tutor

Clark Atlanta University, Bachelor of Science, Physics. Berry College, Doctor of Education, Curriculum and Instruction.

View Tutors

Tatiana
Certified Tutor

Moscow State Linguistic University, Bachelors, German. Moscow State Linguistic University, PHD, Germanic Languages .

All High School Math Resources

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

Popular Subjects

Chemistry Tutors in Denver, Spanish Tutors in San Diego, SSAT Tutors in Seattle, French Tutors in Denver, French Tutors in Philadelphia, SSAT Tutors in Atlanta, English Tutors in New York City, Math Tutors in New York City, Math Tutors in Washington DC, LSAT Tutors in Chicago

Popular Courses & Classes

SAT Courses & Classes in New York City, GMAT Courses & Classes in Phoenix, GRE Courses & Classes in Atlanta, SSAT Courses & Classes in Boston, GMAT Courses & Classes in Miami, LSAT Courses & Classes in Phoenix, GMAT Courses & Classes in New York City, ACT Courses & Classes in Miami, LSAT Courses & Classes in Seattle, ACT Courses & Classes in San Francisco-Bay Area

Popular Test Prep

MCAT Test Prep in Miami, SSAT Test Prep in Houston, LSAT Test Prep in Philadelphia, ISEE Test Prep in Los Angeles, GRE Test Prep in Denver, MCAT Test Prep in Phoenix, GMAT Test Prep in Miami, GRE Test Prep in Los Angeles, SAT Test Prep in San Diego, GMAT Test Prep in Phoenix

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 : Pre-Algebra

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #31 : Whole Numbers

Example Question #12 : Operations And Properties

Example Question #31 : Pre Algebra

Example Question #32 : Pre Algebra

Example Question #35 : High School Math

Example Question #1 : How To Do Exponents In Pre Algebra

Example Question #2 : How To Do Exponents In Pre Algebra

Example Question #3 : How To Do Exponents In Pre Algebra

Example Question #4 : How To Do Exponents In Pre Algebra

Example Question #2 : How To Do Exponents 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: