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Lesson 2: Generate Equivalent Ratios — Practice Questions

  1. 1. The ratio of cats to dogs at a shelter is 2:5. If 3 cats and 3 dogs are adopted, which statement is true about the new ratio of cats to dogs?

    • A. The new ratio is equivalent to 2:5.
    • B. The new ratio is not equivalent to 2:5.
    • C. The new ratio is 5:8, which is equivalent to 2:5.
    • D. The new ratio is -1:2.
  2. 2. A student incorrectly states that the ratio 4:9 is equivalent to (4+5):(9+5), or 9:14. To show this is false, you can check the cross-products. The first product is $4 \times 14 = 56$. The second product is $9 \times 9 = \_\_\_$.

  3. 3. Which of the following operations, when applied to the ratio 10:4, will result in a ratio that is NOT equivalent?

    • A. Multiplying both terms by 3
    • B. Dividing both terms by 2
    • C. Adding 5 to both terms
    • D. Multiplying both terms by 0.5
  4. 4. A recipe's flour to sugar ratio is 5:3. To make a larger portion, you must triple both ingredients. The new, equivalent ratio of flour to sugar will be 15:___.

  5. 5. Which of the following ratios is NOT equivalent to the ratio 3:8?

    • A. 6:16
    • B. 9:24
    • C. 7:12
    • D. 1.5:4
  6. 6. A smoothie recipe uses 2 bananas for every 5 strawberries. To make a larger batch with 10 bananas while keeping the same taste, you need ___ strawberries.

  7. 7. A map's scale is 3 centimeters representing 8 kilometers. Which of the following map scales represents an equivalent ratio?

    • A. 6 cm : 18 km
    • B. 12 cm : 32 km
    • C. 9 cm : 20 km
    • D. 1.5 cm : 5 km
  8. 8. A car factory maintains a production ratio of 45 blue cars for every 60 silver cars. If on Monday they produced only 9 blue cars, they must have produced ___ silver cars.

  9. 9. Alex claims the ratio 4:9 is equivalent to 7:12 because he added 3 to both terms. Is his statement correct, and why?

    • A. Yes, adding the same number to both terms makes the ratios equivalent.
    • B. No, equivalent ratios are found by multiplying or dividing both terms by the same non-zero number.
  10. 10. In a science lab, a solution is made by mixing 5 mL of acid for every 8 mL of water. To maintain this ratio, ___ mL of acid are needed for 40 mL of water.