1. Renting an electric scooter costs a 1 dollars unlocking fee plus 0.30 dollars per minute. In the equation 0.30x + 1 = C modeling the total cost, what does the value $0.30$ represent?
- A. The total cost
- B. The unlocking fee
- C. The cost per minute
- D. The number of minutes
2. A plumber charges $75$ for a service call plus $90$ per hour. This is modeled by $90x + 75 = 345$. What does the value $75$ represent in this equation?
- A. The total bill
- B. The number of hours worked
- C. The hourly rate
- D. The service call fee
3. A tank with 100 gallons of water is filled at 20 gallons per minute until it holds 500 gallons. In the equation $20x + 100 = 500$, the total amount, $r$, is ___.
4. Which word problem is best modeled by the equation $2,800 + n = 4,000$?
- A. An airplane needs to fly 4,000 miles. It has already flown 2,800 miles. How many more miles, n, does it have to fly?
- B. A company made 2,800 dollars on Monday and 4,000 dollars on Tuesday. How much money, n, did they make in total?
- C. A company started with 4,000 dollars and spent 2,800 dollars. How much money, n, is left?
- D. An airplane flew 2,800 miles and then returned 4,000 miles. What is the total distance, n?
5. To create a tape diagram for the equation $x + 3,150 = 5,500$, the value representing the total length of the tape is ___.
6. Which story best models the equation $(1,850 + 750) - p = 2,000$?
- A. A theater sold 1,850 tickets and refunded 750. It then sold $p$ more to reach 2,000.
- B. A theater sold 1,850 adult tickets and 750 child tickets. After $p$ people left, 2,000 people remained. How many people left?
- C. A theater needs to sell 2,000 tickets. It sold 1,850 on Friday and 750 on Saturday. How many tickets, $p$, did it sell in total?
- D. A theater sold 1,850 tickets. It needs to sell 750 more to have 2,000 tickets left after giving away $p$ tickets.
7. To model the equation $(2,300 + 900) - w = 1,700$ with a tape diagram, you first find the total amount. What is this initial total before $w$ is subtracted?
8. In a word problem based on the equation $9,500 - y = 6,000$, what does the number 9,500 represent?
- A. The amount that is taken away.
- B. The final amount that is left.
- C. The starting total or whole amount.
- D. The sum of the other two numbers.