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All Common Core: High School - Algebra Resources

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Flashcards: Equations with Two or More Variables: CCSS.Math.Content.HSA-CED.A.2

There are a total of 80 firefighters in a town. There are 4 fire departments in the town: North, South, East, and West. The North Department has 23 firefighters. The East Department has 13 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?

80=23+W+S

80=13+W+S

80=23+13+W+S

80=23+S

80=23+13+C

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Flashcards: Equations with Two or More Variables: CCSS.Math.Content.HSA-CED.A.2

Your answer:

80=23+W+S

Your answer:

80=13+W+S

Your answer:

80=23+S

Your answer:

80=23+13+C

Correct answer:

80=23+13+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 80 firefighters in the town. The North Department has 23 firefighters. The East Department has 13 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:

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

From here, identify the values for the known variables.

$\\T=80 \\N=23 \\E=13$

Substitute the values into the equation.

80=23+13+W+S

Flashcards: Equations with Two or More Variables: CCSS.Math.Content.HSA-CED.A.2

A candy shop contains a total of 300 items. There are 125 chocolates, 97 cookies, and T number of truffles. Write the equation that represents this situation.

300=125T+97

300=125+97+T

300=125+T

300=125+97T

300=97+T

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Flashcards: Equations with Two or More Variables: CCSS.Math.Content.HSA-CED.A.2

A candy shop contains a total of 300 items. There are 125 chocolates, 97 cookies, and T number of truffles. Write the equation that represents this situation.

Your answer:

300=125T+97

Your answer:

300=125+T

Your answer:

300=125+97T

Your answer:

300=97+T

Correct answer:

300=125+97+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 300 items. There are 125 chocolates, 97 cookies, and T number of truffles. In mathematical terms this looks as follows:

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

From here, identify the values for the known variables.

$\\I=300 \\C=125 \\C_1=97$

Substitute the values into the equation.

300=125+97+T

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All Common Core: High School - Algebra Resources

Flashcards: Equations with Two or More Variables: CCSS.Math.Content.HSA-CED.A.2

Flashcards: Equations with Two or More Variables: CCSS.Math.Content.HSA-CED.A.2

Flashcards: Equations with Two or More Variables: CCSS.Math.Content.HSA-CED.A.2

Flashcards: Equations with Two or More Variables: CCSS.Math.Content.HSA-CED.A.2

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