### All Common Core: High School - Algebra Resources

## Example Questions

### Example Question #11 : Creating Equations✭

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?

**Possible Answers:**

**Correct answer:**

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:

From here, identify the values for the known variables.

Substitute the values into the equation.

### Example Question #12 : Creating Equations✭

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.

**Possible Answers:**

**Correct answer:**

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:

From here, identify the values for the known variables.

Substitute the values into the equation.

### Example Question #1 : Equations With Two Or More Variables: Ccss.Math.Content.Hsa Ced.A.2

A coffee shop made 50 drinks in the first hour of operation, 14 mochas, 10 lattes, and C number of hot chocolates. Write an equation that represents this situation.

**Possible Answers:**

**Correct answer:**

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

A coffee shop made 50 drinks in the first hour of operation, 14 mochas, 10 lattes, and C number of hot chocolates. In mathematical terms this looks as follows:

From here, identify the values for the known variables.

Substitute the values into the equation.

### Example Question #1 : Equations With Two Or More Variables: Ccss.Math.Content.Hsa Ced.A.2

There are a total of 450 firefighters in a town. There are 4 fire departments in the town: North, South, East, and West. The North Department has 77 firefighters. The East Department has 21 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:**

**Correct answer:**

There are 450 firefighters in the town. The North Department has 77 firefighters. The East Department has 21 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:

From here, identify the values for the known variables.

Substitute the values into the equation.

### Example Question #17 : Creating Equations✭

A candy shop contains a total of 100 items. There are 25 chocolates, 17 cookies, and T number of truffles. Write the equation that represents this situation.

**Possible Answers:**

**Correct answer:**

A candy shop contains a total of 100 items. There are 25 chocolates, 17 cookies, and T number of truffles. In mathematical terms this looks as follows:

From here, identify the values for the known variables.

Substitute the values into the equation.

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

A coffee shop made 150 drinks in the first hour of operation, 20 mochas, 10 lattes, and C number of hot chocolates. Write an equation that represents this situation.

**Possible Answers:**

**Correct answer:**

A coffee shop made 150 drinks in the first hour of operation, 20 mochas, 10 lattes, and C number of hot chocolates. In mathematical terms this looks as follows:

From here, identify the values for the known variables.

Substitute the values into the equation.

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

There are a total of 78 firefighters in a town. There are 4 fire departments in the town: North, South, East, and West. The North Department has 13 firefighters. The East Department has 43 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:**

**Correct answer:**

There are 78 firefighters in the town. The North Department has 13 firefighters. The East Department has 43 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:

From here, identify the values for the known variables.

Substitute the values into the equation.

### Example Question #3 : Equations With Two Or More Variables: Ccss.Math.Content.Hsa Ced.A.2

A candy shop contains a total of 30 items. There are 15 chocolates, 7 cookies, and T number of truffles. Write the equation that represents this situation.

**Possible Answers:**

**Correct answer:**

A candy shop contains a total of 30 items. There are 15 chocolates, 7 cookies, and T number of truffles. In mathematical terms this looks as follows:

From here, identify the values for the known variables.

Substitute the values into the equation.

### Example Question #1 : 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:**

**Correct answer:**

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:

From here, identify the values for the known variables.

Substitute the values into the equation.

### Example Question #1 : Equations With Two Or More Variables: Ccss.Math.Content.Hsa Ced.A.2

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:**

**Correct answer:**

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.

From here, identify the values for the known variables.

Substitute the values into the equation.

Certified Tutor