We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

SAT II Math II : Single-Variable Algebra

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

Create An Account

All SAT II Math II Resources

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

Example Questions

← Previous 1 2 3 4 5 6 7 8 9 10 Next →

Example Question #11 : Solving Inequalities

Solve the inequality: -3x+9>-15

Possible Answers:

x<8

x>2

x<2

x<-8

x<-2

Correct answer:

x<8

Explanation:

Subtract nine from both sides.

-3x+9-9>-15-9

-3x>-24

Divide by negative 3 on both sides. We will need to switch the sign.

$\frac{-3x}{-3}>\frac{-24}{-3}$

The answer is: x<8

Report an Error

Example Question #12 : Solving Inequalities

Solve the inequality: $3x-7 \leq -14$

Possible Answers:

$x\leq \frac{7}{3}$

$x\leq7$

$x\geq -\frac{7}{3}$

$x\leq -7$

$x\leq -\frac{7}{3}$

Correct answer:

$x\leq -\frac{7}{3}$

Explanation:

Add seven on both sides.

$3x-7 +7\leq -14+7$

$3x\leq -7$

Divide by three on both sides.

$\frac{3x}{3}\leq \frac{-7}{3}$

The answer is: $x\leq -\frac{7}{3}$

Report an Error

Example Question #43 : Single Variable Algebra

Solve: $-7 ( x + 9 ) \geq 37 + 3x$

Possible Answers:

$x \geq -10$

$x \leq-10$

$x \geq-7$

$-10 \leq x \leq 10$

$x \leq -10, x\geq10$

Correct answer:

$x \leq-10$

Explanation:

First, we distribute the through the equation:

$-7x - 63 \geq 37 + 3x$

Now, we collect and combine terms:

$10x \leq -100$

$x \leq-10$

Report an Error

Example Question #1 : Simplifying Expressions

Decrease 8d - 35 by 40%. Which of the following will this be equal to?

Possible Answers:

4.8d-35

3.2d - 14

8d-21

3.2d-21

4.8 d - 21

Correct answer:

4.8 d - 21

Explanation:

A number decreased by 40% is equivalent to 100% of the number minus 40% of the number. This is taking 60% of the number, or, equivalently, multiplying it by 0.6.

Therefore, 8d - 35 decreased by 40% is 0.6 times this, or

$0.6 \left (8d - 35 \right ) = 0.6 \cdot 8d - 0.6 \cdot 35 = 4.8 d - 21$

Report an Error

Example Question #2 : Simplifying Expressions

Simplify:

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

Possible Answers:

$27x^{9}$

$\frac{1}{27x^{9}}$

$\frac{ x^{9} }{27}$

$-27x^{9}$

$\frac{27}{ x^{9} }$

Correct answer:

$\frac{ x^{9} }{27}$

Explanation:

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

$= \left ( \frac{3}{x^{3}}\right )^{-3}$

$= \left ( \frac{x^{3}}{3}\right )^{3}$

$= \frac{\left (x^{3} \right )^{3}}{3^{3}}$

$= \frac{ x^{3 \cdot 3} }{27}$

$= \frac{ x^{9} }{27}$

Report an Error

Example Question #1 : Simplifying Expressions

Assume all variables assume positive values.

Simplify:

$\left ( \frac{y^{-3}}{x^{-2}} \right )^{2}$

Possible Answers:

$\frac{x^{4}}{y^{6}}$

$\frac{1}{x^{4}y^{6}}$

$\frac{x^{4}}{y^{9}}$

$\frac{y^{9}}{x^{4}}$

$\frac{y^{6}}{x^{4}}$

Correct answer:

$\frac{x^{4}}{y^{6}}$

Explanation:

$\left ( \frac{y^{-3}}{x^{-2}} \right )^{2}$

$= \frac{y^{-3 \cdot 2}}{x^{-2\cdot 2}}$

$= \frac{y^{-6}}{x^{-4}}$

$= y^{-6} \div x^{-4}$

$= \frac{1}{y^{6}} \div \frac{1}{ x^{4}}$

$= \frac{1}{y^{6}} \cdot x^{4}$

$= \frac{x^{4}}{y^{6}}$

Report an Error

Example Question #191 : Sat Subject Test In Math Ii

Assume all variables assume positive values. Simplify:

$6x^{0}+ 7y^{0}+ 8z^{0}$

Possible Answers:

21xyz

6x + 7y + 8z

The expression is already simplified.

The expression is undefined.

Correct answer:

Explanation:

Any nonzero expression raised to the power of 0 is equal to 1. Therefore,

$6x^{0}+ 7y^{0}+ 8z^{0}$

$= 6 \cdot 1 + 7 \cdot 1 + 8 \cdot 1$

= 6 + 7 + 8 = 21

Report an Error

Example Question #1 : Simplifying Expressions

Simplify the following expression: xyz(xy-xz)

Possible Answers:

2xyz-2xz

x^2y^2z-x^2yz

x^2y^2z^2-x^2yz^2

x^2y^2z-x^2yz^2

2x^2y^2z

Correct answer:

x^2y^2z-x^2yz^2

Explanation:

Distribute the outer term through both terms in the parentheses.

xyz(xy-xz) = xyz(xy) - xyz(xz)

Multiply each term.

x^2y^2z-x^2yz^2

There are no like-terms.

The answer is: x^2y^2z-x^2yz^2

Report an Error

Example Question #201 : Sat Subject Test In Math Ii

Simplify the expression: 6(2x-3)-2(-x-3)

Possible Answers:

14x-24

10x+9

14x-12

10x-9

12x-12

Correct answer:

14x-12

Explanation:

Distribute the integers through the binomials.

12x-18 +2x+6

Combine like-terms.

The answer is: 14x-12

Report an Error

Example Question #202 : Sat Subject Test In Math Ii

Simplify x - 5 - (2 - x) .

Possible Answers:

x+3

x^2 - 7

2x - 7

Correct answer:

2x - 7

Explanation:

We can start by distributing the negative sign in the parentheses term:

x - 5 - 2 + x

Now we can combine like terms. The constants go together, and the variables go together:

2x - 7

Report an Error

← Previous 1 2 3 4 5 6 7 8 9 10 Next →

View SAT Subject Test in Mathematics Level 2 Tutors

Gregory
Certified Tutor

Pennsylvania State University-Main Campus, Bachelor of Science, Chemical Engineering. Carnegie Mellon University, Doctor of P...

View SAT Subject Test in Mathematics Level 2 Tutors

Luu Chi Hieu
Certified Tutor

The University of Texas at Dallas, Bachelor of Science, Computer Science.

View SAT Subject Test in Mathematics Level 2 Tutors

Antonia
Certified Tutor

University of Michigan-Ann Arbor, Bachelor of Engineering, Nuclear Engineering. University of Wisconsin-Madison, Current Grad...

All SAT II Math II Resources

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

Popular Subjects

Computer Science Tutors in Boston, English Tutors in Washington DC, Biology Tutors in Miami, Algebra Tutors in New York City, Math Tutors in Boston, LSAT Tutors in San Francisco-Bay Area, Chemistry Tutors in Los Angeles, Calculus Tutors in Washington DC, Statistics Tutors in New York City, Math Tutors in Seattle

Popular Courses & Classes

GRE Courses & Classes in San Diego, GMAT Courses & Classes in Miami, ISEE Courses & Classes in Philadelphia, SAT Courses & Classes in Phoenix, MCAT Courses & Classes in San Diego, MCAT Courses & Classes in Miami, LSAT Courses & Classes in Philadelphia, Spanish Courses & Classes in Boston, Spanish Courses & Classes in Atlanta, MCAT Courses & Classes in Boston

Popular Test Prep

LSAT Test Prep in Chicago, SSAT Test Prep in San Francisco-Bay Area, LSAT Test Prep in San Diego, LSAT Test Prep in Atlanta, GMAT Test Prep in Dallas Fort Worth, ACT Test Prep in Los Angeles, SAT Test Prep in Atlanta, GRE Test Prep in Chicago, ISEE Test Prep in Washington DC, SSAT Test Prep in Seattle

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 II : Single-Variable Algebra

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

All SAT II Math II Resources

Example Questions

Example Question #11 : Solving Inequalities

Example Question #12 : Solving Inequalities

Example Question #43 : Single Variable Algebra

Example Question #1 : Simplifying Expressions

Example Question #2 : Simplifying Expressions

Example Question #1 : Simplifying Expressions

Example Question #191 : Sat Subject Test In Math Ii

Example Question #1 : Simplifying Expressions

Example Question #201 : Sat Subject Test In Math Ii

Example Question #202 : Sat Subject Test In Math Ii

All SAT II Math II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: