Rates - SAT Math

1. Calculate the unit rate: 240 pages in 4 hours.

   60 pages per hour. Divide $240 \div 4 = 60$ pages per hour.

2. Find the rate for 500 liters in 10 minutes.

   50 liters per minute. Divide $500 \div 10 = 50$ liters per minute.

3. What is the unit rate for 120 dollars in 4 hours?

   30 dollars per hour. Divide $120 \div 4 = 30$ dollars per hour.

4. What is the formula for calculating speed?

   $Speed = \frac{\text{Distance}}{\text{Time}}$. Distance divided by time gives rate of motion.

5. If a car travels at 60 mph, how far does it travel in 1.5 hours?

   90 miles. Multiply rate by time: $60 × 1.5 = 90$.

6. Find the unit rate for 90 miles in 3 hours.

   30 miles per hour. Divide $90 \div 3 = 30$ miles per hour.

7. Calculate the rate: 150 miles in 3 hours.

   50 mph. Divide total distance by total time: $150 ÷ 3 = 50$.

8. Calculate the rate: 144 miles in 3 hours.

   48 miles per hour. Divide $144 \div 3 = 48$ miles per hour.

9. Determine the unit rate: 300 miles in 6 hours.

   50 miles per hour. Divide $300 \div 6 = 50$ miles per hour.

10. State the rate: 60 pages in 2 hours.

    30 pages per hour. Divide $60 \div 2 = 30$ pages per hour.

11. Determine the rate: 6 liters in 3 minutes.

    2 liters per minute. Divide $6 \div 3 = 2$ liters per minute.

12. Determine the rate: $15 for 3 pounds of oranges.

    Rate is $5 per pound. Calculated by dividing $$$15 \div 3 = $$5$ per pound.

13. Calculate the rate for 200 liters in 5 minutes.

    40 liters per minute. Divide $200 \div 5 = 40$ liters per minute.

14. Calculate the unit rate: 100 miles in 5 hours.

    20 miles per hour. Divide $100 \div 5 = 20$ miles per hour.

15. What is the unit rate for 180 km in 2 hours?

    90 km per hour. Divide $180 \div 2 = 90$ km per hour.

16. State the unit rate: 80 km in 4 hours.

    20 km per hour. Divide $80 \div 4 = 20$ km per hour.

17. What is the unit rate of 180 miles in 3 hours?

    60 miles per hour. Divide $180 \div 3 = 60$ miles per hour.

18. Calculate the rate for 240 pages in 8 hours.

    30 pages per hour. Divide $240 \div 8 = 30$ pages per hour.

19. Calculate the rate for 500 km in 10 hours.

    50 km per hour. Divide $500 \div 10 = 50$ km per hour.

20. Identify the rate in: 60 miles in 2 hours.

    Rate is 30 miles per hour. Calculated by dividing $60 \div 2 = 30$ miles per hour.

21. What is the rate for 60 meters in 15 seconds?

    4 meters per second. Divide $60 \div 15 = 4$ meters per second.

22. Find the rate: 360 km in 9 hours.

    40 km per hour. Divide $360 \div 9 = 40$ km per hour.

23. Find the rate of 400 pages in 8 days.

    50 pages per day. Divide $400 \div 8 = 50$ pages per day.

24. Calculate the rate of 72 km in 6 hours.

    12 km per hour. Divide $72 \div 6 = 12$ km per hour.

25. Identify the rate: 100 gallons in 4 hours.

    25 gallons per hour. Divide $100 \div 4 = 25$ gallons per hour.

26. How do you calculate the unit rate from a ratio?

    Divide the first quantity by the second. This creates a rate with denominator 1, showing quantity per single unit.

27. What is the unit rate for 30 dollars in 5 hours?

    6 dollars per hour. Divide $30 \div 5 = 6$ dollars per hour.

28. What is the rate if 240 units are produced in 8 hours?

    30 units per hour. Divide total units by total time: $240 ÷ 8 = 30$.

29. What is the formula for calculating growth rate?

    $Growth Rate = \frac{\text{Change in Value}}{\text{Original Value}}$. This formula calculates percent change relative to the starting value.

30. Calculate the rate: 240 km in 4 hours.

    60 km per hour. Divide $240 \div 4 = 60$ km per hour.

31. Find the unit rate: 75 km in 1.5 hours.

    50 km per hour. Divide $75 \div 1.5 = 50$ km per hour.

32. Find the unit price if 5 apples cost $10.

    Unit price is $2 per apple. Calculated by dividing $$$10 \div 5 = $$2$ per apple.

33. What is the formula for calculating work rate?

    $\text{Work Rate} = \frac{\text{Work}}{\text{Time}}$. This formula shows how much work is completed per unit time.

34. Determine the rate: 500 meters in 100 seconds.

    5 meters per second. Divide $500 \div 100 = 5$ meters per second.

35. How do you calculate average speed?

    $Average Speed = \frac{\text{Total Distance}}{\text{Total Time}}$. Total distance divided by total time for entire journey.

36. Find the unit rate: 150 words in 3 minutes.

    50 words per minute. Divide $150 \div 3 = 50$ words per minute.

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