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Lesson 5: Solving Proportions and Scale Drawings — Practice Questions

  1. 1. Write the sentence as a proportion: "4 is to 15 as 36 is to 135."

    • A. $\frac{4}{15} = \frac{36}{135}$
    • B. $\frac{4}{36} = \frac{15}{135}$
    • C. $\frac{15}{4} = \frac{36}{135}$
    • D. $\frac{4}{15} = \frac{135}{36}$
  2. 2. Write the sentence as a proportion: "12 is to 5 as 96 is to 40."

    • A. $\frac{12}{5} = \frac{96}{40}$
    • B. $\frac{12}{96} = \frac{5}{40}$
    • C. $\frac{5}{12} = \frac{96}{40}$
    • D. $\frac{12}{5} = \frac{40}{96}$
  3. 3. Is the following equation a proportion? $\frac{11}{6} = \frac{21}{16}$

    • A. Yes
    • B. No
    • C. Cannot be determined
    • D. Only if the numbers are whole numbers
  4. 4. Write the sentence as a proportion: "7 is to 9 as 35 is to 45."

    • A. $\frac{7}{9} = \frac{35}{45}$
    • B. $\frac{7}{35} = \frac{9}{45}$
    • C. $\frac{9}{7} = \frac{35}{45}$
    • D. $\frac{7}{9} = \frac{45}{35}$
  5. 5. Is the following equation a proportion? $\frac{12}{18} = \frac{4.99}{7.56}$

    • A. Yes
    • B. No
    • C. Cannot be determined
    • D. Only if the numbers are integers
  6. 6. Is the following equation a proportion? $\frac{9}{4} = \frac{39}{34}$

    • A. Yes
    • B. No
    • C. Cannot be determined
    • D. Only if the denominators are equal
  7. 7. Is the following equation a proportion? $\frac{9}{16} = \frac{2.16}{3.89}$

    • A. Yes
    • B. No
    • C. Cannot be determined
    • D. Only if the numerators are integers
  8. 8. Write the sentence as a proportion: "15 is to 8 as 75 is to 40." $\frac{15}{8} = \frac{75}{\_\_\_}$

  9. 9. Is the following equation a proportion? $\frac{5}{12} = \frac{45}{108}$

    • A. Yes
    • B. No
    • C. Cannot be determined
    • D. Only if the numbers are integers
  10. 10. Is the following equation a proportion? $\frac{10.1}{8.4} = \frac{3.03}{2.52}$

    • A. Yes
    • B. No
    • C. Cannot be determined
    • D. Only if the numbers are whole