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Lesson 31: Using Rates, Ratios, and Proportions — Practice Questions

  1. 1. Use the Cross Products Property to solve the proportion for $n$: $$\frac{n}{9} = \frac{4}{3}$$The value of $n$ is ___.

  2. 2. Which equation correctly represents the application of the Cross Products Property to the proportion $$\frac{7}{x} = \frac{14}{10}$$?

    • A. $7 \cdot 14 = 10 \cdot x$
    • B. $7 \cdot x = 14 \cdot 10$
    • C. $7 \cdot 10 = 14 \cdot x$
    • D. $7 + 10 = 14 + x$
  3. 3. A paint mixture requires 3 parts blue for every 7 parts yellow. To maintain the same color ratio, how many parts of blue paint are needed for a batch using 21 parts of yellow paint? ___ parts

  4. 4. Solve the proportion for $a$: $$\frac{a-3}{5} = \frac{9}{15}$$ The value of $a$ is ___.

  5. 5. Using the Cross Products Property, solve the proportion for the variable $x$: $$\frac{x+1}{3} = \frac{x+7}{5}$$

    • A. $x = 3$
    • B. $x = 13$
    • C. $x = 11$
    • D. $x = 8$
  6. 6. A car travels 180 miles on 5 gallons of gasoline. What is the car's fuel efficiency as a unit rate? The unit rate is ___ miles per gallon.

  7. 7. A 12-ounce bottle of shampoo costs 4.80 dollars. A larger, 20-ounce bottle costs 7.00 dollars. Which bottle is the better value?

    • A. The 12-ounce bottle
    • B. The 20-ounce bottle
    • C. Both are of equal value
    • D. It is impossible to tell
  8. 8. If you earn 68 dollars for 4 hours of babysitting, what is your hourly wage? Your unit rate of pay is ___ dollars per hour.

  9. 9. A grocery store sells a 5-pack of granola bars for 4.50 dollars and a 12-pack for 10.20 dollars. Which option has a lower unit price?

    • A. The 5-pack
    • B. The 12-pack
    • C. The unit prices are the same
    • D. Not enough information
  10. 10. A printer can print 210 pages in 6 minutes. What is the printer's speed as a unit rate? The printer's speed is ___ pages per minute.