Call Now to Set Up Tutoring:

(888) 888-0446

SAT II Math I : Mathematical Relationships

Study concepts, example questions & explanations for SAT II Math I

Create An Account

All SAT II Math I Resources

6 Diagnostic Tests 113 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Mathematical Relationships

Evaluate the expression.

$\small (3+4)^2+(\frac{3+5}{2})+6\div 2$

Possible Answers:

Correct answer:

Explanation:

Follow the correct order of operations: parenthenses, exponents, multiplication, division, addition, subtraction.

$\small (3+4)^2+(\frac{3+5}{2})+6\div 2$

First, evaluate any terms in parenthesis.

$(7)^2+(\frac{8}{2})+6\div 2$

$7^2+4+6\div 2$

Next, evaluate the exponent.

$\small 49+4+6\div2$

Divide.

$\small 49+4+3$

Finally, add.

$\small 49+4+3=56$

Report an Error

Example Question #1 : Elementary Operations

Evalute the expression:

$\left (\frac{3*2}{6}\right)+8^2-4*6+5$

Possible Answers:

$\small 21$

$\small 64$

$\small 366$

Correct answer:

Explanation:

Follow the correct order of operations: parentheses, exponents, multiplication, division, addition, subtraction. (This is typically abbreviated as PEMDAS. Note that both multiplication and division, and addition and subtraction, are equal to each other in terms of rank, so when both are present, solving the equation proceeds from left to right).

First, simplify anything in parentheses.

$\left(\frac{6}{6}\right)+8^2-4*6+5$

$\small 1+8^2-4*6+5$

Next, simplify any terms with exponents.

$\small 1+64-4*6+5$

Now, perform multiplication.

$\small 1+64-24+5$

Since all we are left with is addition and subtraction, we perform simplification from left to right.

$\small \small 65-24+5 = 41+5=46$

Thus, our answer is:

$\small \small 46$

Report an Error

Example Question #1 : Elementary Operations

Add in modulo 7:

5 + 4 + 6 + 2

Possible Answers:

Correct answer:

Explanation:

In modulo 7 arithmetic, a number is congruent to the remainder of its division by 7.

Therefore, since 5 + 4 + 6 + 2 = 17 and $17 \div 7 = 2 \textrm{ R }3$ ,

$5 + 4 + 6 + 2 \equiv 3 \mod 7$ ,

and the correct response is 3.

Report an Error

Example Question #1 : Mathematical Relationships

Add: 100+1.01+0.01+0.00001

Possible Answers:

101.01001

101.11001

101.02001

101.02002

101.12001

Correct answer:

101.02001

Explanation:

To solve 100+1.01+0.01+0.00001 , make sure the digits are aligned with the correct placeholder. It is also possible to add term by term.

100+1.01= 101.01

101.01+0.01= 101.02

101.02+ 0.00001=101.02001

The correct answer is: 101.02001

Report an Error

Example Question #5 : Mathematical Relationships

Evaluate: $(2+1)^3-(3*4)-7+3+(24\div 6)$ .

Possible Answers:

Correct answer:

Explanation:

Step 1: Recall PEMDAS...

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Step 2: Perform the evaluation in separate pieces...

(2+1)^3=3^3=27

(3*4)=12

-7+3=-4

$(24\div 6)=4$

Step 3: Replace the values and keep the signs..

27-12+4-4

Step 4: Evaluate:

(27-12)+(4-4)=15+0=15

Report an Error

Example Question #6 : Mathematical Relationships

Find the sum of the numbers: 13+14+88+12+54

Possible Answers:

201

121

193

181

191

Correct answer:

181

Explanation:

Add all the ones digits.

3+4+8+2+4 = 21

Add the tens digits with the two as the carryover.

1+1+8+1+5+(2) = 18

Combine this value with the ones digit of the first number.

The answer is: 181

Report an Error

Example Question #7 : Mathematical Relationships

Evaluate: 134+189+879

Possible Answers:

1092

1302

1212

1202

1112

Correct answer:

1202

Explanation:

Add the ones digits.

4+9+9 = 22

Add the tens digits with the tens digit of the previous number as carryover.

3+8+7+(2) = 20

Repeat the process with the hundreds digits.

1+1+8+(2) = 12

Combine this number with the ones digits of the previous calculations.

The answer is: 1202

Report an Error

Example Question #1 : Exponents And Logarithms

How many elements are in a set that has exactly 128 subsets?

Possible Answers:

None of the other responses is correct.

Correct answer:

Explanation:

A set with elements has $2 ^{N}$ subsets.

Solve:

$2 ^{N} = 128$

$\ln 2 ^{N} = \ln 128$

$N \ln 2 = \ln 128$

$N = \frac{\ln 128}{\ln 2} = \frac{4.8520 }{0.6931} = 7$

Report an Error

Example Question #3 : Mathematical Relationships

Rewrite as a single logarithmic expression:

$\ln x - 2 \ln (x + 2)$

Possible Answers:

$\ln \left (-x^{2} -3x -4 \right )$

$\ln \frac{1}{x +4}$

$\ln \frac{x}{x^{2} +4x + 4}$

$\ln \frac{x}{2x + 4}$

$\ln \frac{1}{x^{2} +3x +4}$

Correct answer:

$\ln \frac{x}{x^{2} +4x + 4}$

Explanation:

Using the properties of logarithms

$n \ln a = \ln a^{n}$ and $\ln a - \ln b = \ln \frac{a}{b}$ ,

we simplify as follows:

$\ln x - 2 \ln (x + 2)$

$= \ln x - \ln (x + 2)^{2}$

$= \ln x - \ln (x^{2} +4x + 4)$

$= \ln \frac{x}{x^{2} +4x + 4}$

Report an Error

Example Question #1 : Exponents And Logarithms

Solve: $log_{3}27$

Possible Answers:

$\frac{1}{9}$

Correct answer:

Explanation:

In order to solve this problem, covert 27 to the correct base and power.

$log_{3}27 = log_{3}\: 3^3$

Since log_xx^n = n , the correct answer is .

Report an Error

View SAT Subject Test in Mathematics Level 1 Tutors

Joseph
Certified Tutor

Bank Street College of Education , Master's/Graduate, Early Childhood and Childhood General Education.

View SAT Subject Test in Mathematics Level 1 Tutors

Sharif
Certified Tutor

NCCU, Bachelors, Physics and Mathematics.

View SAT Subject Test in Mathematics Level 1 Tutors

Tarvinder
Certified Tutor

University of Arkansas - Monticello, Bachelor of Science, Mathematics. Tulane University of Louisiana, Master of Science, Com...

All SAT II Math I Resources

6 Diagnostic Tests 113 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Reading Tutors in San Francisco-Bay Area, SSAT Tutors in Washington DC, ACT Tutors in Los Angeles, SAT Tutors in Atlanta, ISEE Tutors in Miami, Physics Tutors in Seattle, SSAT Tutors in Atlanta, French Tutors in San Diego, English Tutors in Dallas Fort Worth, Physics Tutors in San Diego

Popular Courses & Classes

SSAT Courses & Classes in Dallas Fort Worth, LSAT Courses & Classes in Houston, SSAT Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Boston, GMAT Courses & Classes in New York City, Spanish Courses & Classes in Dallas Fort Worth, SAT Courses & Classes in Denver, ISEE Courses & Classes in Philadelphia, ISEE Courses & Classes in San Diego, GMAT Courses & Classes in Phoenix

Popular Test Prep

MCAT Test Prep in Denver, ISEE Test Prep in Philadelphia, MCAT Test Prep in New York City, ISEE Test Prep in Seattle, ACT Test Prep in Chicago, SSAT Test Prep in Phoenix, SAT Test Prep in Phoenix, ISEE Test Prep in Los Angeles, GMAT Test Prep in Houston, GRE Test Prep in New York City

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

SAT II Math I : Mathematical Relationships

Study concepts, example questions & explanations for SAT II Math I

All SAT II Math I Resources

Example Questions

Example Question #1 : Mathematical Relationships

Example Question #1 : Elementary Operations

Example Question #1 : Elementary Operations

Example Question #1 : Mathematical Relationships

Example Question #5 : Mathematical Relationships

Example Question #6 : Mathematical Relationships

Example Question #7 : Mathematical Relationships

Example Question #1 : Exponents And Logarithms

Example Question #3 : Mathematical Relationships

Example Question #1 : Exponents And Logarithms

All SAT II Math I Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: