Mastering Equations and Variables in Word Problems

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If you drove a total of x miles, write an equation to represent the total cost C of the rental. What are the variables in this problem?

• C = 30 + 0.20x; variables: C (total cost), x (miles driven)

• C = 30x + 0.20; variables: C (total cost), x (miles driven)

• C = 0.20 + 30x; variables: C (total cost), x (miles driven)

• C = 30 + 0.50x; variables: C (total cost), x (miles driven)

Maria is saving money to buy a new phone. She has $50 saved and plans to save $15 each week. Write an equation to represent the total amount of money M she will have after w weeks. Identify the variables.

• M = 50 - 15w

• M = 50 + 10w

• M = 15 + 50w

• M = 50 + 15w

A school is organizing a field trip. The cost per student is $25, and there are a total of s students attending. Write an equation to express the total cost T of the trip. What do the variables represent?

• T = 25 / s

• T = s - 25

• T = 25 + s

• T = 25 * s

A gardener is planting flowers in rows. Each row can hold 12 flowers, and he has a total of f flowers to plant. Write an equation to find the number of rows r needed. Identify the variables in this scenario.

• r = 12 * f

• r = f / 12

• r = f - 12

• r = f + 12

A bookstore sells notebooks for $3 each and pens for $2 each. If a student buys n notebooks and p pens, write an equation for the total cost C. What are the variables in this problem?

• C = 2n + 3p; variables: n, p, total

• C = 5n + 3p; variables: n, p

• C = 3n + 2p; variables: n, p

• C = 4n + p; variables: n, p, C

A gym charges a monthly fee of $40 plus $5 for each class attended. If a member attends c classes in a month, write an equation for the total cost T. Identify the variables involved.

• T = 40 + c/5

• T = 5 + 40c

• T = 40 + 5c

• T = 40c + 5

A factory produces x toys per hour. If the factory operates for h hours, write an equation to represent the total number of toys T produced. What do the variables stand for?

• T = x + h

• T = x * h

• T = h / x

• T = x - h

A concert hall has a seating capacity of 500. If each ticket costs $20, write an equation to find the total revenue R if all seats are sold. Identify the variables in this problem.

• R = 20 * 250

• R = 500 - 20

• R = 20 * 500

• R = 20 + 500

A recipe requires 2 cups of flour for every 3 cups of sugar. If you have s cups of sugar, write an equation to find the amount of flour f needed. What are the variables in this scenario?

• f = (3/2) * s

• f = (2/3) * s

• f = s + 2

• f = s - 3

A train travels at a speed of 60 miles per hour. If it travels for t hours, write an equation to express the total distance d traveled. Identify the variables in this problem.

• d = 60 + t

• d = t/60

• d = 60t^2

• d = 60t