Translate Word Problems: Identify Coefficients in Equations

1. Sarah has 3 times as many apples as Tom. If Tom has x apples, write an equation to represent the number of apples Sarah has. What is the coefficient in your equation?

• 3

• 2

• x

• 4

2. A car rental company charges a flat fee of $20 plus $0.50 per mile driven. Write an equation to represent the total cost (C) for driving m miles. Identify the coefficient in your equation.

• C = 20 + 0.50m; Coefficient = 0.50

• C = 15 + 0.50m; Coefficient = 0.50

• C = 20 + 0.25m; Coefficient = 0.25

• C = 20 + 1.00m; Coefficient = 1.00

3. A gardener is planting flowers in rows. If each row has 5 flowers and there are r rows, write an equation for the total number of flowers (F). What is the coefficient in your equation?

• 4

• 6

• 5

• 10

4. A bookstore sells notebooks for $2 each and pens for $1 each. If a student buys n notebooks and p pens, write an equation for the total cost (C). Identify the coefficients in your equation.

• C = 2n + 1p; coefficients are 2 and 1.

• C = 3n + 2p; coefficients are 3 and 2.

• C = n + 2p; coefficients are 1 and 2.

• C = 2n + 2p; coefficients are 2 and 2.

5. A recipe requires 4 cups of flour for every 2 cups of sugar. If you use s cups of sugar, write an equation for the amount of flour (F) needed. What is the coefficient in your equation?

• 4

• 3

• 1

• 2

6. A bike rental shop charges a $15 fee plus $2 for each hour rented. Write an equation for the total cost (C) for h hours. Identify the coefficient in your equation.

• C = 15 + 2h; coefficient = 2

• C = 15 + h; coefficient = 1

• C = 2h; coefficient = 2

• C = 15h + 2; coefficient = 15

7. A factory produces 10 toys for every hour of work. If h represents the number of hours worked, write an equation for the total number of toys (T) produced. What is the coefficient in your equation?

• 20

• 5

• 10

• 15

8. A concert hall has 200 seats. If each ticket costs $25, write an equation for the total revenue (R) from selling t tickets. Identify the coefficient in your equation.

• R = 25t; coefficient = 25

• R = 200t; coefficient = 200

• R = 15t; coefficient = 15

• R = 25t + 100; coefficient = 25

9. A school is organizing a field trip. Each student pays $10, and there are s students. Write an equation for the total amount collected (C). What is the coefficient in your equation?

• 10

• 20

• 5

• 15

10. A painter charges $50 for the first hour and $30 for each additional hour. If h represents the number of hours worked beyond the first hour, write an equation for the total cost (C). Identify the coefficients in your equation.

• C = 30 + 50h

• C = 50h + 30

• C = 50 + 30h

• C = 50 + 50h