Lesson 3: Representing Equivalent Ratios — Practice Questions

1. 1. What is the primary purpose of using a double number line to model a ratio?

   • A. To find the sum of two different quantities.
   • B. To show how two quantities change together at a constant rate.
   • C. To plot points on a coordinate grid.
   • D. To measure the length of a single object.

2. 2. A recipe calls for 4 cups of sugar for every 2 batches of cookies. Following this ratio, you would need ___ cups of sugar to make 6 batches of cookies.

3. 3. A hose fills a small pool with 90 gallons of water in 3 minutes. At this constant rate, how many gallons would be in the pool after 1 minute? The answer is ___ gallons.

4. 4. A train travels 150 miles in 2 hours at a constant speed. Following this rate, how far will the train travel in 3 hours?

   • A. 200 miles
   • B. 225 miles
   • C. 250 miles
   • D. 300 miles

5. 5. Maria can read 50 pages of a book in 40 minutes. If she continues reading at the same pace, she can read 100 pages in ___ minutes.

6. 6. A car travels 180 miles on 5 gallons of gasoline. What is the car's fuel efficiency in miles per gallon? ___

7. 7. Grocery store A sells 4 apples for 3.00 dollars. Grocery store B sells 5 apples for 3.50 dollars. Which store offers a lower price per apple?

   • A. Store A
   • B. Store B
   • C. The prices are the same
   • D. Cannot be determined

8. 8. A train travels 240 miles in 4 hours. A bus travels 195 miles in 3 hours. Which vehicle is traveling faster?

   • A. The train
   • B. The bus
   • C. They are traveling at the same speed
   • D. Not enough information

9. 9. A factory machine produces 450 widgets in 30 minutes. At this rate, how many widgets does the machine produce per minute? ___

10. 10. Printer A prints 60 pages in 5 minutes. Printer B prints 96 pages in 8 minutes. Which statement is true?

    • A. Printer A is faster
    • B. Printer B is faster
    • C. They print at the same rate
    • D. The faster printer cannot be determined