Lesson 57: Rate Word Problems — Practice Questions

1. 1. A baker can decorate 40 cupcakes per hour. If they work for 6 hours, how many cupcakes will they decorate in total? The total is ___ cupcakes.

2. 2. A cyclist rides at a constant speed of 15 miles per hour for 3 hours. What is the total distance the cyclist traveled?

   • A. 5 miles
   • B. 18 miles
   • C. 45 miles
   • D. 60 miles

3. 3. Printer A prints 90 pages in 3 minutes. Printer B prints 140 pages in 5 minutes. Which statement correctly compares their printing speeds?

   • A. Printer A is faster.
   • B. Printer B is faster.
   • C. They print at the same speed.
   • D. Their combined rate is 50 pages per minute.

4. 4. A factory assembly line produces 500 toys in an 8-hour shift. To find the production rate, you would calculate that the factory makes ___ toys per hour.

5. 5. A small bag of coffee with 10 ounces costs 5 dollars. A large bag with 16 ounces costs 6 dollars. Which bag is the better value (has a lower cost per ounce)?

   • A. The small bag is a better value.
   • B. The large bag is a better value.
   • C. Both bags have the same value.
   • D. There is not enough information.

6. 6. A printer can print 40 pages per minute. At this rate, how many pages can it print in 6 minutes? ___

7. 7. Simplify the expression $p^4 \cdot p^8$.

   • A. $p^{12}$
   • B. $p^{32}$
   • C. $p^4$
   • D. $2p^{12}$

8. 8. A car travels 180 miles in 3 hours. What is the car's average rate of speed?

   • A. 540 miles per hour
   • B. 60 miles per hour
   • C. 3 miles per hour
   • D. 180 miles per hour

9. 9. Simplify the expression $7^2 \cdot 7^5$ and write your answer in exponent form. ___

10. 10. A factory assembles 9 computers per hour. How many computers can the factory assemble in 8 hours? ___