Word Problems: Identifying Variables & Constants in Equations

A store sells pencils for p dollars each. If you buy x packs of pencils and pay q dollars in tax, your total cost is r dollars. Write an equation to represent this situation and identify the variables and constants.

• x + p + q = r

• p * x - q = r

• x * p + q = r

• r = x + q + p

A gardener plants x rows of flowers, with p flowers in each row. If the gardener adds q more flowers, the total number of flowers becomes r. Write the equation and identify the variables and constants.

• x + p + q = r

• x * p + q = r

• x * p - q = r

• x * p + r = q

A car travels at a speed of p miles per hour for x hours. If it stops for q hours, the total distance traveled is r miles. Write the equation and identify the variables and constants.

• r = x / p

• r = p * x

• r = p + x

• r = p * (x + q)

A recipe requires p cups of flour for x servings. If you want to make q more servings, how many cups of flour will you need in total? Write the equation and identify the variables and constants.

• total_flour = (p/x) + q

• total_flour = p + (p/x) * q

• total_flour = p * q

• total_flour = p * (x + q)

A school has p students in each class. If there are x classes and q students are added, the total number of students becomes r. Write the equation and identify the variables and constants.

• p + x + q = r

• p * x - q = r

• p * x + r = q

• p * x + q = r

A factory produces p items per hour. If it operates for x hours and has q items in stock, the total number of items is r. Write the equation and identify the variables and constants.

• r = p + x + q

• r = p * x + q

• r = p * (x + q)

• r = p - x + q

A book costs p dollars. If you buy x books and pay q dollars in shipping, your total cost is r dollars. Write the equation and identify the variables and constants.

• r = p - x + q

• r = p + x + q

• r = p * (x + q)

• r = p * x + q

A cyclist rides p miles per hour for x hours. If they take a break for q hours, the total distance covered is r miles. Write the equation and identify the variables and constants.

• r = p + x

• r = p * (x + q)

• r = p * x

• r = x / p

A concert hall has p seats. If x rows are filled and q seats are empty, the total number of seats is r. Write the equation and identify the variables and constants.

• p = (x * q)

• p = (x * (r - q))

• p = (x + (r + q))

• p = (r - (x + q))

A recipe calls for p grams of sugar for x servings. If you want to make q more servings, how much sugar do you need in total? Write the equation and identify the variables and constants.

• total_sugar = (p / x) * (x + q)

• total_sugar = p * (x + q)

• total_sugar = (p * q) / x

• total_sugar = p + q