Unit Rate & Percent — Worksheet

Unit Rate & Percent

Worksheet

Open the Unit Rate & Percent module. Set the mode and the values described in each question, then read the answer off the double number line or the table. Use the module to answer below.

Name: Date:

Part A: Reading unit rates

1. In Rate mode, set First term = 3, Second term = 12, Top label = pound, and Bottom label = dollars. The unit-rate note at the bottom of the module reads 1 pound = 4 dollars. What is the cost of 1 pound? 1 pt
  • $3
  • $4
  • $12
  • $36
2. In Rate mode, set First term = 4, Second term = 10, Top label = hours, and Bottom label = miles. Read the unit-rate note. How many miles per hour is this? Write a decimal. 1 pt
Answer:
3. In Rate mode, set First term = 6, Second term = 2, Top label = egg, and Bottom label = dollars. The unit-rate note reads 1 egg = 0.33 dollars. Which statement matches the note? 1 pt
  • One egg costs about $0.33.
  • One dollar buys 6 eggs.
  • Two dollars buys 6 eggs.
  • Six eggs cost $0.33.

Part B: The equivalent-ratio table

4. Switch to Table mode. Set First term = 3, Second term = 5, and Steps = 6. In the row for n = 4 the table shows x = 12. What is y in that row? 1 pt
Answer:
5. Table mode. Set First term = 4, Second term = 9, and Steps = 6. In the row for n = 6 the table shows y = 54. What is x in that row? 1 pt
Answer:
6. Table mode. Set First term = 2, Second term = 7, and Steps = 5. Which ordered pair appears in the table? 1 pt
  • (6, 21)
  • (5, 21)
  • (3, 14)
  • (4, 12)
7. Table mode. Set First term = 2, Second term = 7, and Steps = 6. The table shows a row with x = 10. What is y in that row? 1 pt

Part C: Unit price and constant speed

8. A store sells 5 pounds of apples for $12.50. Switch to Rate mode and set First term = 5, Second term = 12.5, Top label = pound, and Bottom label = dollars. What is the price per pound? 1 pt
  • $2.50
  • $5.00
  • $12.50
  • $0.40
9. Rate mode. A car travels 210 miles in 3 hours. Set First term = 3, Second term = 210, Top label = hours, and Bottom label = miles. What is the speed in miles per hour? 1 pt
Answer:
10. Rate mode. Set First term = 1, Second term = 70, Top label = hours, and Bottom label = miles. Drag the handle to n = 5. How many miles are traveled in 5 hours? 1 pt
Answer:

Part D: Percent of a quantity

11. Switch to Percent mode. Set Quantity = 60 and Steps = 4. Drag the handle to the first tick, where the top line reads 25%. What is 25% of 60? 1 pt
  • 15
  • 25
  • 4
  • 60
12. Percent mode. Set Quantity = 40 and Steps = 10. Drag the handle until the top line reads 30%. The readout shows 30% of 40 = ___. What is the value? 1 pt
Answer:
13. Percent mode. 30% of a number is 24. Set Steps = 10 and drag the handle to 30%. Then change the Quantity until the value on the right reads 24. What is the number? 1 pt
Answer:
14. Percent mode. 20% of a number is 7. Set Steps = 5 and drag the handle to the 20% mark. Change the Quantity until the value on the right reads 7. What is the number? 1 pt

Part E: Converting units

15. Switch to Convert mode. Set First term = 1, Second term = 60, Top label = hours, and Bottom label = minutes. Drag the handle to n = 4. How many minutes are in 4 hours? 1 pt
Answer:
16. Convert mode. Set First term = 1, Second term = 12, Top label = foot, and Bottom label = inches. The module shows 1 foot = 12 inches. How many inches are in 1.5 feet? Scale the ratio. 1 pt
  • 18 inches
  • 12 inches
  • 24 inches
  • 6 inches
17. Convert mode. 1 kilometer = 1000 meters. Set First term = 1 and Second term = 1000. How many meters are in 2.5 kilometers? Scale the ratio. 1 pt

Part F: Reasoning

18. Describe how the double number line shows a unit rate. Use the rate 3 pounds : 12 dollars to explain. 2 pts
19. Explain how to find the whole when you know a part and its percent. Use the example 30% of a number is 24. 2 pts