Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: High School - Algebra : Creating Equations✭

Study concepts, example questions & explanations for Common Core: High School - Algebra

Create An Account

All Common Core: High School - Algebra Resources

8 Diagnostic Tests 97 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #8 : Equations With Two Or More Variables: Ccss.Math.Content.Hsa Ced.A.2

A coffee shop made 75 drinks in the first hour of operation, 20 mochas, 15 lattes, and C number of hot chocolates. Write an equation that represents this situation.

Possible Answers:

75=20+C $\displaystyle 75=20+C$

$\displaystyle 15=20+75+C$

75=15+C $\displaystyle 75=15+C$

$\displaystyle 20=75+15+C$

$\displaystyle 75=20+15+C$

Correct answer:

$\displaystyle 75=20+15+C$

Explanation:

To find the equation that represents this particular situation, the word problem will need to be translated into mathematical terms.

A coffee shop made 75 drinks in the first hour of operation, 20 mochas, 15 lattes, and C number of hot chocolates. In mathematical terms this looks as follows:

$\\\text{Total Drinks}=\text{Mochas + Latte + Hot Chocolate} \\T=M+L+C$ $\displaystyle \\\text{Total Drinks}=\text{Mochas + Latte + Hot Chocolate} \\T=M+L+C$

From here, identify the values for the known variables.

$\\T=75 \\M=20 \\L=15$ $\displaystyle \\T=75 \\M=20 \\L=15$

Substitute the values into the equation.

$\displaystyle 75=20+15+C$

Report an Error

Example Question #22 : Creating Equations✭

There are a total of 60 firefighters in a town. There are 4 fire departments in the town: North, South, East, and West. The North Department has 24 firefighters. The East Department has 9 firefighters. Let W represent the number of firefighters in the West Department and S represent the number of firefighters in the South Department. Which equation best illustrates this situation?

Possible Answers:

$\displaystyle 24=60+9+W+S$

$\displaystyle 9=24+60+W+S$

$\displaystyle 60=9+W+S$

$\displaystyle 60=24+W+S$

$\displaystyle 60=24+9+W+S$

Correct answer:

$\displaystyle 60=24+9+W+S$

Explanation:

To find the equation that represents this particular situation, the word problem will need to be translated into mathematical terms.

There are 60 firefighters in the town. The North Department has 24 firefighters. The East Department has 9 firefighters. Let W represent the number of firefighters from the West Department and S the number of firefighters in the South Department.

This question is talking about the total firefighters in one town and each section of the town has a different fire department. In mathematical terms this looks as follows:

$\\\text{Total Town Firefighters}=\text{North Department + East Department + West Department + South Department} \\T=N+E+W+S$ $\displaystyle \\\text{Total Town Firefighters}=\text{North Department + East Department + West Department + South Department} \\T=N+E+W+S$

From here, identify the values for the known variables.

$\\T=60 \\N=24 \\E=9$ $\displaystyle \\T=60 \\N=24 \\E=9$

Substitute the values into the equation.

$\displaystyle 60=24+9+W+S$

Report an Error

Example Question #431 : High School: Algebra

A candy shop contains a total of 70 items. There are 45 chocolates, 7 cookies, and T number of truffles. Write the equation that represents this situation.

Possible Answers:

70=45+T $\displaystyle 70=45+T$

$\displaystyle 45=70+7+T$

$\displaystyle 70=45+7+T$

70=7+T $\displaystyle 70=7+T$

$\displaystyle 7=45+70+T$

Correct answer:

$\displaystyle 70=45+7+T$

Explanation:

To find the equation that represents this particular situation, the word problem will need to be translated into mathematical terms.

A candy shop contains a total of 70 items. There are 45 chocolates, 7 cookies, and T number of truffles. In mathematical terms this looks as follows:

$\\\text{Total Candy Items}=\text{Chocolates + Cookies + Truffles} \\I=C+C_1+T$ $\displaystyle \\\text{Total Candy Items}=\text{Chocolates + Cookies + Truffles} \\I=C+C_1+T$

From here, identify the values for the known variables.

$\\I=70 \\C=45 \\C_1=7$ $\displaystyle \\I=70 \\C=45 \\C_1=7$

Substitute the values into the equation.

$\displaystyle 70=45+7+T$

Report an Error

Example Question #432 : High School: Algebra

A coffee shop made 225 drinks in the first hour of operation, 80 mochas, 25 lattes, and C number of hot chocolates. Write an equation that represents this situation.

Possible Answers:

$\displaystyle 225=25+C$

$\displaystyle 25=80+225+C$

$\displaystyle 80=225+25+C$

$\displaystyle 225=80+C$

$\displaystyle 225=80+25+C$

Correct answer:

$\displaystyle 225=80+25+C$

Explanation:

To find the equation that represents this particular situation, the word problem will need to be translated into mathematical terms.

A coffee shop made 225 drinks in the first hour of operation, 80 mochas, 25 lattes, and C number of hot chocolates. In mathematical terms this looks as follows:

$\\\text{Total Drinks}=\text{Mochas + Latte + Hot Chocolate} \\T=M+L+C$ $\displaystyle \\\text{Total Drinks}=\text{Mochas + Latte + Hot Chocolate} \\T=M+L+C$

From here, identify the values for the known variables.

$\\T=225 \\M=80 \\L=25$ $\displaystyle \\T=225 \\M=80 \\L=25$

Substitute the values into the equation.

$\displaystyle 225=80+25+C$

Report an Error

Example Question #1 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

There are 8 apples in a small fruit basket and 14 apples in a large fruit basket. If Sally buys a total of 5 fruit baskets that have a combined total of 58 apples, write an equation that represents the total number of apples that Sally has.

Possible Answers:

$\displaystyle 14s+8l=58$

$\displaystyle 2s+4l=58$

$\displaystyle 8s+14l=58$

$\displaystyle 8s+5l=58$

$\displaystyle 8s+58l=14$

Correct answer:

$\displaystyle 8s+14l=58$

Explanation:

To write the appropriate equation for this situation, start by identifying what is known.

$\\\text{small fruit basket}=8\text{ apples} \\\text{large fruit basket}=14\text{ apples}$ $\displaystyle \\\text{small fruit basket}=8\text{ apples} \\\text{large fruit basket}=14\text{ apples}$

Now write the equation in words.

$\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=58\text{ apples}$ $\displaystyle \# \text{ small fruit baskets}+\# \text{ large fruit baskets}=58\text{ apples}$

Let

$\\s=\text{small fruit basket} \\l=\text{large fruit basket}$ $\displaystyle \\s=\text{small fruit basket} \\l=\text{large fruit basket}$

therefore the equation becomes,

$\displaystyle 8s+14l=58$

Report an Error

Example Question #2 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

There are 6 apples in a small fruit basket and 10 apples in a large fruit basket. If Sally buys a total of 5 fruit baskets that has a combined total of 34 apples, write an equation that represents the total number of apples that Sally has.

Possible Answers:

$\displaystyle 34s+10l=6$

$\displaystyle 6s+34l=10$

$\displaystyle 8s+10l=34$

$\displaystyle 6s+10l=34$

$\displaystyle 6s+10l=32$

Correct answer:

$\displaystyle 6s+10l=34$

Explanation:

To write the appropriate equation for this situation, start by identifying what is known.

$\\\text{small fruit basket}=6\text{ apples} \\\text{large fruit basket}=10\text{ apples}$ $\displaystyle \\\text{small fruit basket}=6\text{ apples} \\\text{large fruit basket}=10\text{ apples}$

Now write the equation in words.

$\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=34\text{ apples}$ $\displaystyle \# \text{ small fruit baskets}+\# \text{ large fruit baskets}=34\text{ apples}$

Let

$\\s=\text{small fruit basket} \\l=\text{large fruit basket}$ $\displaystyle \\s=\text{small fruit basket} \\l=\text{large fruit basket}$

therefore the equation becomes,

$\displaystyle 6s+10l=34$

Report an Error

Example Question #3 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

There are 3 apples in a small fruit basket and 7 apples in a large fruit basket. If Sally buys a total of 5 fruit baskets that have a combined total of 31 apples, write an equation that represents the total number of apples that Sally has.

Possible Answers:

5s+7l=3 $\displaystyle 5s+7l=3$

$\displaystyle 3s+5l=31$

$\displaystyle 3s+7l=31$

$\displaystyle 7s+3l=31$

3s+7l=5 $\displaystyle 3s+7l=5$

Correct answer:

$\displaystyle 3s+7l=31$

Explanation:

To write the appropriate equation for this situation, start by identifying what is known.

$\\\text{small fruit basket}=3\text{ apples} \\\text{large fruit basket}=7\text{ apples}$ $\displaystyle \\\text{small fruit basket}=3\text{ apples} \\\text{large fruit basket}=7\text{ apples}$

Now write the equation in words.

$\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=31\text{ apples}$ $\displaystyle \# \text{ small fruit baskets}+\# \text{ large fruit baskets}=31\text{ apples}$

Let

$\\s=\text{small fruit basket} \\l=\text{large fruit basket}$ $\displaystyle \\s=\text{small fruit basket} \\l=\text{large fruit basket}$

therefore the equation becomes,

$\displaystyle 3s+7l=31$

Report an Error

Example Question #1 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

There are 5 apples in a small fruit basket and 10 apples in a large fruit basket. If Sally buys a total of 5 fruit baskets that have a combined total of 40 apples, write an equation that represents the total number of apples that Sally has.

Possible Answers:

$\displaystyle 5s+1l=40$

$\displaystyle 5s+40l=10$

10l=45 $\displaystyle 10l=45$

$\displaystyle 10s+40l=5$

$\displaystyle 5s+10l=40$

Correct answer:

$\displaystyle 5s+10l=40$

Explanation:

To write the appropriate equation for this situation, start by identifying what is known.

$\\\text{small fruit basket}=5\text{ apples} \\\text{large fruit basket}=10\text{ apples}$ $\displaystyle \\\text{small fruit basket}=5\text{ apples} \\\text{large fruit basket}=10\text{ apples}$

Now write the equation in words.

$\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=40\text{ apples}$ $\displaystyle \# \text{ small fruit baskets}+\# \text{ large fruit baskets}=40\text{ apples}$

Let

$\\s=\text{small fruit basket} \\l=\text{large fruit basket}$ $\displaystyle \\s=\text{small fruit basket} \\l=\text{large fruit basket}$

therefore the equation becomes,

$\displaystyle 5s+10l=40$

Report an Error

Example Question #3 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

There are 15 apples in a small fruit basket and 20 apples in a large fruit basket. If Sally buys a total of 5 fruit baskets that have a combined total of 95 apples, write an equation that represents the total number of apples that Sally has.

Possible Answers:

$\displaystyle 95s+20l=5$

$\displaystyle 5s+20l=95$

$\displaystyle 15s+2l=95$

$\displaystyle 95s+20l=15$

$\displaystyle 15s+20l=95$

Correct answer:

$\displaystyle 15s+20l=95$

Explanation:

To write the appropriate equation for this situation, start by identifying what is known.

$\\\text{small fruit basket}=15\text{ apples} \\\text{large fruit basket}=20\text{ apples}$ $\displaystyle \\\text{small fruit basket}=15\text{ apples} \\\text{large fruit basket}=20\text{ apples}$

Now write the equation in words.

$\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=95\text{ apples}$ $\displaystyle \# \text{ small fruit baskets}+\# \text{ large fruit baskets}=95\text{ apples}$

Let

$\\s=\text{small fruit basket} \\l=\text{large fruit basket}$ $\displaystyle \\s=\text{small fruit basket} \\l=\text{large fruit basket}$

therefore the equation becomes,

$\displaystyle 15s+20l=95$

Report an Error

Example Question #4 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

There are 8 apples in a small fruit basket and 14 apples in a large fruit basket. If Sally buys a total of 5 fruit baskets that have a combined total of 58 apples, write the system of equation that represents the Sally situation.

Possible Answers:

$\\8s+14l=58 \\s+l=5$ $\displaystyle \\8s+14l=58 \\s+l=5$

$\\8s+14l=58 \\5l=5$ $\displaystyle \\8s+14l=58 \\5l=5$

$\\8s+14l=5 \\s+l=58$ $\displaystyle \\8s+14l=5 \\s+l=58$

$\\s+4l=5 \\8s+14l=58$ $\displaystyle \\s+4l=5 \\8s+14l=58$

$\\3s+2l=5 \\s+l=58$ $\displaystyle \\3s+2l=5 \\s+l=58$

Correct answer:

$\\8s+14l=58 \\s+l=5$ $\displaystyle \\8s+14l=58 \\s+l=5$

Explanation:

To write the appropriate equation for this situation, start by identifying what is known.

$\\\text{small fruit basket}=8\text{ apples} \\\text{large fruit basket}=14\text{ apples}$ $\displaystyle \\\text{small fruit basket}=8\text{ apples} \\\text{large fruit basket}=14\text{ apples}$

Now write the equation in words.

$\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=58\text{ apples}$ $\displaystyle \# \text{ small fruit baskets}+\# \text{ large fruit baskets}=58\text{ apples}$

Let

$\\s=\text{small fruit basket} \\l=\text{large fruit basket}$ $\displaystyle \\s=\text{small fruit basket} \\l=\text{large fruit basket}$

therefore the equation becomes,

$\displaystyle 8s+14l=58$

Now, since there are 5 fruit baskets set up another equation.

$\\\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=5\text{ baskets} \\s+l=5$ $\displaystyle \\\# \text{ small fruit baskets}+\# \text{ large fruit baskets}=5\text{ baskets} \\s+l=5$

From here set up the system of equation for this situation.

$\\8s+14l=58 \\s+l=5$ $\displaystyle \\8s+14l=58 \\s+l=5$

Report an Error

View Tutors

Rebecca
Certified Tutor

Purdue University-Main Campus, Diploma, Elementary School Teaching. Purdue University-Main Campus, Bachelor in Arts, Elementa...

View Tutors

Charlotte
Certified Tutor

University of North Carolina at Chapel Hill, Bachelor in Arts, Linguistics. University of North Carolina at Chapel Hill, Mast...

View Tutors

Liza
Certified Tutor

The University of Texas at San Antonio, Bachelor, Education 1-8- Gen Ed, Bilingual, ESL. The University of Texas at San Anton...

All Common Core: High School - Algebra Resources

8 Diagnostic Tests 97 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

MCAT Tutors in Los Angeles, GRE Tutors in Denver, SAT Tutors in Philadelphia, Statistics Tutors in Boston, GRE Tutors in San Francisco-Bay Area, Chemistry Tutors in Houston, MCAT Tutors in Houston, English Tutors in Los Angeles, Algebra Tutors in New York City, SSAT Tutors in Washington DC

Popular Courses & Classes

ACT Courses & Classes in Los Angeles, ISEE Courses & Classes in Washington DC, SAT Courses & Classes in San Diego, ACT Courses & Classes in San Francisco-Bay Area, GRE Courses & Classes in Los Angeles, SSAT Courses & Classes in Phoenix, LSAT Courses & Classes in Houston, ACT Courses & Classes in Washington DC, SSAT Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in Atlanta

Popular Test Prep

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

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

Common Core: High School - Algebra : Creating Equations✭

Study concepts, example questions & explanations for Common Core: High School - Algebra

All Common Core: High School - Algebra Resources

Example Questions

Example Question #8 : Equations With Two Or More Variables: Ccss.Math.Content.Hsa Ced.A.2

Example Question #22 : Creating Equations✭

Example Question #431 : High School: Algebra

Example Question #432 : High School: Algebra

Example Question #1 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

Example Question #2 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

Example Question #3 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

Example Question #1 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

Example Question #3 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

Example Question #4 : System Of Equations And Inequalities: Ccss.Math.Content.Hsa Ced.A.3

All Common Core: High School - Algebra Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: