Let's solve each problem by finding the
unit rate, which means we want to find how much of one quantity corresponds to
one unit of another (e.g., goals per game, dollars per hour, etc.).
We'll go through each pair and divide the first quantity by the second to get the unit rate.
---
1. 25 goals in 50 games
$$
\frac{25}{50} = 0.5 \text{ goals per game}
$$
✔ Answer: 0.5 goals per game
---
2. $100 for 4 hours of work
$$
\frac{100}{4} = 25 \text{ dollars per hour}
$$
✔ Answer: $25 per hour
---
3. 60 calls in 12 hours
$$
\frac{60}{12} = 5 \text{ calls per hour}
$$
✔ Answer: 5 calls per hour
---
4. 32 eggs every 16 days
$$
\frac{32}{16} = 2 \text{ eggs per day}
$$
✔ Answer: 2 eggs per day
---
5. 120 flights per 4 hours
$$
\frac{120}{4} = 30 \text{ flights per hour}
$$
✔ Answer: 30 flights per hour
---
6. 350 students in 7 groups
$$
\frac{350}{7} = 50 \text{ students per group}
$$
✔ Answer: 50 students per group
---
7. 800 words per 4 minutes
$$
\frac{800}{4} = 200 \text{ words per minute}
$$
✔ Answer: 200 words per minute
---
8. 180 ml of rain in 3 hours
$$
\frac{180}{3} = 60 \text{ ml per hour}
$$
✔ Answer: 60 ml per hour
---
9. 180 seats in 9 rows
$$
\frac{180}{9} = 20 \text{ seats per row}
$$
✔ Answer: 20 seats per row
---
10. 250 miles on 5 gallons of gas
$$
\frac{250}{5} = 50 \text{ miles per gallon}
$$
✔ Answer: 50 miles per gallon
---
11. 147 kilometers in 7 hours
$$
\frac{147}{7} = 21 \text{ km per hour}
$$
✔ Answer: 21 km/h
---
12. 625 meters in 25 seconds
$$
\frac{625}{25} = 25 \text{ meters per second}
$$
✔ Answer: 25 m/s
---
13. 60 calls in 12 hours
This is the same as #3:
$$
\frac{60}{12} = 5 \text{ calls per hour}
$$
✔ Answer: 5 calls per hour
---
14. 200 pages in 5 days
$$
\frac{200}{5} = 40 \text{ pages per day}
$$
✔ Answer: 40 pages per day
---
✔ Final Answers:
| Problem | Unit Rate |
|--------|-----------|
| 1. 25 goals in 50 games |
0.5 goals per game |
| 2. $100 for 4 hours |
$25 per hour |
| 3. 60 calls in 12 hours |
5 calls per hour |
| 4. 32 eggs in 16 days |
2 eggs per day |
| 5. 120 flights in 4 hours |
30 flights per hour |
| 6. 350 students in 7 groups |
50 students per group |
| 7. 800 words in 4 minutes |
200 words per minute |
| 8. 180 ml in 3 hours |
60 ml per hour |
| 9. 180 seats in 9 rows |
20 seats per row |
| 10. 250 miles in 5 gallons |
50 miles per gallon |
| 11. 147 km in 7 hours |
21 km/h |
| 12. 625 m in 25 seconds |
25 m/s |
| 13. 60 calls in 12 hours |
5 calls per hour |
| 14. 200 pages in 5 days |
40 pages per day |
---
🔍 Explanation:
To find a
unit rate, you divide the
total amount by the
number of units to get "per one" value. For example:
- If someone earns $100 in 4 hours, their rate is $100 ÷ 4 = $25 per hour.
- If 60 calls are made in 12 hours, then 60 ÷ 12 = 5 calls per hour.
This helps compare different rates fairly.
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of unit rates worksheet 7th grade.
