Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Basic Single-Variable Algebra

Study concepts, example questions & explanations for Algebra II

Create An Account

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #131 : Expressions

Evaluate the expression $x(a+b)-x^{a}$ when a=2 , b=10 , and x=3 .

Possible Answers:

Correct answer:

Explanation:

First, substitute for , for , and for : $(3)(2+10)-(3)^{2}$

Now, using the order of operations (Parentheses, Exponents, Multiplication, Division, Addittion, Subtraction), begin to simplify the expression:

(3)(12)-(9)

36-9

Leaving you with,

Report an Error

Example Question #131 : Expressions

Evaluate the expression $14-2c+d^{2}-c^{2}$ given c=12 and d=11 .

Possible Answers:

Correct answer:

Explanation:

First, substitute for and for : $14-2(12)+(11)^{2}-(12)^{2}$

Now, using the order of operations (Parentheses, Exponents, Multiplication, Division, Addittion, Subtraction), begin to simplify the expression:

14-2(12)+(121)-(144)

14-24+121-144

Leaving you with,

Report an Error

Example Question #132 : Expressions

Evaluate the expression $5y+x^{2}(x-7)$ when x=8 and y=11 .

Possible Answers:

119

121

117

Correct answer:

119

Explanation:

First, substitute for and for : $5(11)+(8)^{2}((8)-7)$

Now, using the order of operations (Parentheses, Exponents, Multiplication, Division, Addittion, Subtraction), begin to simplify the expression:

5(11)+(64)(1)

55+64

Leaving you with,

119

Report an Error

Example Question #2025 : Algebra Ii

Evaluate the expression $b^{4}+3a-9$ when a=6 and b=5 .

Possible Answers:

423

634

566

285

709

Correct answer:

634

Explanation:

First, you subsitute for and for : $(5)^{4}+3(6)-9$

Now, using the order of operations (Parentheses, Exponents, Multiplication, Division, Addittion, Subtraction), begin to simplify the expression:

625+3(6)-9

625+18-9

Leaving you with,

634

Report an Error

Example Question #131 : Expressions

If f(x)= 2x^2+1 and g(x)=x-3 , what is f(g(2)) ?

Possible Answers:

Correct answer:

Explanation:

To begin solving, first we would plug in to g(x) for every there is, making it:

g(2)=(2)-3

Solving, we get:

g(2)=-1

We would then put that solution into f(x) for every there is, making it:

$f(g(2))=2(-1)^{2}+1$

Following the order of operations, the first thing we do is square :

$-1 \times -1 = 1$

We can then solve the rest of the expression:

f(g(2))=2(1)+1

f(g(2))=3

Report an Error

Example Question #21 : Solving Expressions

Solve the expression: -6(x-6)^2-3x+2

Possible Answers:

-6x^2-75x+218

-6x^2+69x-218

-6x^2+69x-214

-6x^2+69x-216

-6x^2-69x+214

Correct answer:

-6x^2+69x-214

Explanation:

Evaluate the binomial squared first by order of operations.

(x-6)^2 = (x-6)(x-6)

= x(x)+(x)(-6)+(-6)(x)+(-6)(-6)

x^2-12x+36

The expression becomes:

-6(x^2-12x+36)-3x+2

Distribute the negative six through each term of the trinomial.

-6x^2+72x-216-3x+2

Combine like-terms.

The answer is: -6x^2+69x-214

Report an Error

Example Question #2022 : Algebra Ii

Solve the expression if a=3 : 6a(a^2-a^3)

Possible Answers:

648

324

Correct answer:

Explanation:

Substitute the value of into the given expression.

6(3)((3)^2-(3)^3)

Simplify the parentheses by order of operations.

18(9-27) = 18(-18) = -324

The answer is:

Report an Error

Example Question #2023 : Algebra Ii

If a=5 and b=6 , evaluate: $\frac{1}{b}-\frac{b}{a}$

Possible Answers:

$-\frac{31}{30}$

$-\frac{19}{30}$

$-\frac{29}{30}$

$-\frac{41}{30}$

$-\frac{2}{5}$

Correct answer:

$-\frac{31}{30}$

Explanation:

Substitute the assigned values into the expression.

$\frac{1}{b}-\frac{b}{a} = \frac{1}{6}-\frac{6}{5}$

Convert the fractions to a common denominator.

$\frac{1}{6}-\frac{6}{5} = \frac{1(5)}{6(5)}-\frac{6(6)}{5(6)} = \frac{5}{30}- \frac{36}{30}$

Now that the denominators are common, the numerators can be subtracted.

The answer is: $-\frac{31}{30}$

Report an Error

Example Question #2024 : Algebra Ii

If a=4 and b=6 , determine: a(2-b)-a

Possible Answers:

Correct answer:

Explanation:

Substitute the values into the expression.

a(2-b)-a = 4(2-6)-4

Simplify the expression by distribution.

4(2-6)-4 = 4(-4)-4 = -16-4 = -20

The answer is:

Report an Error

Example Question #21 : Solving Expressions

If $a=\sqrt5, b=\sqrt3$ , what is the value of $\frac{15}{ab}$ ?

Possible Answers:

$\frac{\sqrt{15}}{15}$

$\sqrt{30}$

$\sqrt{15}$

$\frac{\sqrt{15}}{2}$

$2\sqrt{15}$

Correct answer:

$\sqrt{15}$

Explanation:

Substitute the values of and .

$\frac{15}{\sqrt{5}\cdot \sqrt{3}} = \frac{15}{\sqrt{15}}$

Rationalize the denominator by multiplying the top and bottom with the denominator. This will eliminate the radical in the denominator.

$\frac{15}{\sqrt{15}}\cdot \frac{\sqrt{15}}{\sqrt{15}}=\frac{15\sqrt{15}}{15}$

Cancel the integers.

The answer is: $\sqrt{15}$

Report an Error

View Algebra 2 Tutors

Angeles
Certified Tutor

University of Central Florida, Bachelor of Science, Biomedical Sciences. University of Central Florida, Master of Science, Bi...

View Algebra 2 Tutors

Eric
Certified Tutor

University of Wisconsin-Madison, Bachelor of Science, Applied Physics.

View Algebra 2 Tutors

Iffy
Certified Tutor

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

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

MCAT Tutors in Washington DC, ISEE Tutors in Denver, Chemistry Tutors in Phoenix, French Tutors in Washington DC, Algebra Tutors in Dallas Fort Worth, Reading Tutors in Dallas Fort Worth, MCAT Tutors in Chicago, GMAT Tutors in Miami, MCAT Tutors in Seattle, Reading Tutors in Los Angeles

Popular Courses & Classes

GRE Courses & Classes in Philadelphia, SSAT Courses & Classes in Houston, Spanish Courses & Classes in Atlanta, ISEE Courses & Classes in Los Angeles, Spanish Courses & Classes in Denver, SAT Courses & Classes in Miami, Spanish Courses & Classes in Phoenix, MCAT Courses & Classes in Chicago, ISEE Courses & Classes in Boston, GMAT Courses & Classes in Seattle

Popular Test Prep

ISEE Test Prep in Los Angeles, MCAT Test Prep in Chicago, GMAT Test Prep in Seattle, LSAT Test Prep in Boston, LSAT Test Prep in Denver, SAT Test Prep in Washington DC, MCAT Test Prep in Philadelphia, SSAT Test Prep in Houston, GRE Test Prep in Philadelphia, GRE Test Prep in Boston

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

Algebra II : Basic Single-Variable Algebra

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #131 : Expressions

Example Question #131 : Expressions

Example Question #132 : Expressions

Example Question #2025 : Algebra Ii

Example Question #131 : Expressions

Example Question #21 : Solving Expressions

Example Question #2022 : Algebra Ii

Example Question #2023 : Algebra Ii

Example Question #2024 : Algebra Ii

Example Question #21 : Solving Expressions

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: