Common Core: High School - Algebra : Equations with Two or More Variables: CCSS.Math.Content.HSA-CED.A.2

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

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All Common Core: High School - Algebra Resources

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Example Questions

Example Question #21 : Creating Equations✭

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:

\(\displaystyle 70=7+T\)

\(\displaystyle 45=70+7+T\)

\(\displaystyle 7=45+70+T\)

\(\displaystyle 70=45+7+T\)

\(\displaystyle 70=45+T\)

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:

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

From here, identify the values for the known variables.

\(\displaystyle \\I=70 \\C=45 \\C_1=7\)

Substitute the values into the equation.

\(\displaystyle 70=45+7+T\)

Example Question #11 : Equations With Two Or More Variables: Ccss.Math.Content.Hsa Ced.A.2

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:

\(\displaystyle 25=80+225+C\)

\(\displaystyle 225=80+C\)

\(\displaystyle 80=225+25+C\)

\(\displaystyle 225=25+C\)

\(\displaystyle 225=80+25+C\)

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:

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

From here, identify the values for the known variables.

\(\displaystyle \\T=225 \\M=80 \\L=25\)

Substitute the values into the equation.

\(\displaystyle 225=80+25+C\)

All Common Core: High School - Algebra Resources

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