Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Algebra II

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 #2451 : Algebra Ii

If a 10-foot ladder is leaned against a wall, the height of the ladder up the wall is given by

$h(x)=\sqrt{100-x^2}$ $\displaystyle h(x)=\sqrt{100-x^2}$,

where $\displaystyle x$ is the distance along the floor from the base of the ladder to the wall.

How far from the wall should the base of the ladder be in order for the ladder to reach 8 feet off the floor?

Possible Answers:

$\displaystyle 6$

$\displaystyle 5$

$\displaystyle 4$

$\displaystyle 8$

6.5 $\displaystyle 6.5$

Correct answer:

$\displaystyle 6$

Explanation:

Step 1: Plug in 8 for h(x)

$8=\sqrt{100-x^2}$ $\displaystyle 8=\sqrt{100-x^2}$

Step 2: Square both sides

$\displaystyle 64=100-x^2$

Step 3: Combine like terms

x^2=36 $\displaystyle x^2=36$

Step 4: Solve.

x=6 $\displaystyle x=6$

Report an Error

Example Question #131 : Solving Equations

Solve for $\displaystyle x$.

$\displaystyle x+241.7=903.6$

Possible Answers:

661.9 $\displaystyle 661.9$

961.2 $\displaystyle 961.2$

725.2 $\displaystyle 725.2$

681.4 $\displaystyle 681.4$

841.6 $\displaystyle 841.6$

Correct answer:

661.9 $\displaystyle 661.9$

Explanation:

To solve for the variable perform opposite operations to isolate it on one side of the equation with all constants on the other side.

$\displaystyle x+241.7=903.6$

Subtract 241.7 $\displaystyle 241.7$ on both sides.

x=661.9 $\displaystyle x=661.9$

Report an Error

Example Question #132 : Solving Equations

Solve for $\displaystyle x$.

$\displaystyle x+982.1=267.8$

Possible Answers:

-714.3 $\displaystyle -714.3$

845.3 $\displaystyle 845.3$

-694.2 $\displaystyle -694.2$

1026.6 $\displaystyle 1026.6$

1249.9 $\displaystyle 1249.9$

Correct answer:

-714.3 $\displaystyle -714.3$

Explanation:

To solve for the variable perform opposite operations to isolate it on one side of the equation with all constants on the other side.

$\displaystyle x+982.1=267.8$

Subtract 982.1 $\displaystyle 982.1$ on both sides.

$\displaystyle x=-714.3$

Report an Error

Example Question #613 : Basic Single Variable Algebra

Solve for $\displaystyle x$.

$\displaystyle x+457.9=-235.6$

Possible Answers:

-745.6 $\displaystyle -745.6$

-693.5 $\displaystyle -693.5$

432.1 $\displaystyle 432.1$

222.3 $\displaystyle 222.3$

338.4 $\displaystyle 338.4$

Correct answer:

-693.5 $\displaystyle -693.5$

Explanation:

To solve for the variable perform opposite operations to isolate it on one side of the equation with all constants on the other side.

$\displaystyle x+457.9=-235.6$

Subtract 457.9 $\displaystyle 457.9$ on both sides.

$\displaystyle x=-693.5$

Report an Error

Example Question #614 : Basic Single Variable Algebra

Solve for $\displaystyle x$.

$\displaystyle x-845=1023$

Possible Answers:

958 $\displaystyle 958$

1868 $\displaystyle 1868$

463 $\displaystyle 463$

784 $\displaystyle 784$

178 $\displaystyle 178$

Correct answer:

1868 $\displaystyle 1868$

Explanation:

To solve for the variable perform opposite operations to isolate it on one side of the equation with all constants on the other side.

$\displaystyle x-845=1023$

Add 845 $\displaystyle 845$ on both sides.

x=1868 $\displaystyle x=1868$

Report an Error

Example Question #135 : Solving Equations

Solve for $\displaystyle x$.

$\displaystyle x-245.6=-1023.5$

Possible Answers:

386.7 $\displaystyle 386.7$

-777.9 $\displaystyle -777.9$

423.9 $\displaystyle 423.9$

-823.1 $\displaystyle -823.1$

568.2 $\displaystyle 568.2$

Correct answer:

-777.9 $\displaystyle -777.9$

Explanation:

To solve for the variable perform opposite operations to isolate it on one side of the equation with all constants on the other side.

$\displaystyle x-245.6=-1023.5$

Add 245.6 $\displaystyle 245.6$ on both sides.

$\displaystyle x=-777.9$

Report an Error

Example Question #133 : Solving Equations

Solve for $\displaystyle x$.

$\displaystyle x-467.8=-396.7$

Possible Answers:

82.3 $\displaystyle 82.3$

71.1 $\displaystyle 71.1$

68.1 $\displaystyle 68.1$

-56.9 $\displaystyle -56.9$

-47.7 $\displaystyle -47.7$

Correct answer:

71.1 $\displaystyle 71.1$

Explanation:

To solve for the variable perform opposite operations to isolate it on one side of the equation with all constants on the other side.

$\displaystyle x-467.8=-396.7$

Add 467.8 $\displaystyle 467.8$ on both sides.

x=71.1 $\displaystyle x=71.1$

Report an Error

Example Question #134 : Solving Equations

Solve for $\displaystyle x$.

17x=561 $\displaystyle 17x=561$

Possible Answers:

$\displaystyle 43$

$\displaystyle 39$

$\displaystyle 55$

$\displaystyle 41$

$\displaystyle 33$

Correct answer:

$\displaystyle 33$

Explanation:

To solve for the variable perform opposite operations to isolate it on one side of the equation with all constants on the other side.

17x=561 $\displaystyle 17x=561$

Divide $\displaystyle 17$ on both sides.

x=33 $\displaystyle x=33$

Report an Error

Example Question #135 : Solving Equations

Solve for $\displaystyle x$.

$\displaystyle -44x=792$

Possible Answers:

$\displaystyle -23$

$\displaystyle 22$

$\displaystyle -18$

$\displaystyle 24$

$\displaystyle 16$

Correct answer:

$\displaystyle -18$

Explanation:

To solve for the variable perform opposite operations to isolate it on one side of the equation with all constants on the other side.

$\displaystyle -44x=792$

Divide $\displaystyle -44$ on both sides.

x=-18 $\displaystyle x=-18$

Report an Error

Example Question #136 : Solving Equations

Solve for $\displaystyle x$.

$\displaystyle -28x=-812$

Possible Answers:

$\displaystyle -39$

$\displaystyle 21$

$\displaystyle 39$

$\displaystyle 29$

$\displaystyle 31$

Correct answer:

$\displaystyle 29$

Explanation:

To solve for the variable perform opposite operations to isolate it on one side of the equation with all constants on the other side.

$\displaystyle -28x=-812$

Divide $\displaystyle -28$ on both sides.

x=29 $\displaystyle x=29$

Report an Error

View Algebra 2 Tutors

Brendan
Certified Tutor

University of Florida, Doctor of Philosophy, Mathematics.

View Algebra 2 Tutors

Allison
Certified Tutor

Asbury University, Bachelor of Education, Mathematics Teacher Education.

View Algebra 2 Tutors

Kenneth
Certified Tutor

North Georgia University, Bachelors, Accounting. Brenau University, Masters, Business.

All Algebra II Resources

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

Popular Subjects

French Tutors in Seattle, GRE Tutors in Seattle, Biology Tutors in Houston, Statistics Tutors in San Diego, Physics Tutors in Seattle, SAT Tutors in Los Angeles, LSAT Tutors in New York City, Math Tutors in Boston, Math Tutors in Dallas Fort Worth, Biology Tutors in Boston

Popular Courses & Classes

SSAT Courses & Classes in Denver, SAT Courses & Classes in Los Angeles, SSAT Courses & Classes in San Diego, SSAT Courses & Classes in Philadelphia, MCAT Courses & Classes in Boston, ACT Courses & Classes in Miami, Spanish Courses & Classes in San Diego, ACT Courses & Classes in Philadelphia, ACT Courses & Classes in Phoenix, GRE Courses & Classes in San Diego

Popular Test Prep

GMAT Test Prep in Atlanta, SAT Test Prep in Seattle, MCAT Test Prep in Chicago, SSAT Test Prep in Denver, SSAT Test Prep in Philadelphia, GMAT Test Prep in Boston, ACT Test Prep in Washington DC, LSAT Test Prep in Atlanta, GMAT Test Prep in Miami, MCAT 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

Algebra II : Algebra II

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #2451 : Algebra Ii

Example Question #131 : Solving Equations

Example Question #132 : Solving Equations

Example Question #613 : Basic Single Variable Algebra

Example Question #614 : Basic Single Variable Algebra

Example Question #135 : Solving Equations

Example Question #133 : Solving Equations

Example Question #134 : Solving Equations

Example Question #135 : Solving Equations

Example Question #136 : Solving Equations

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: