Two changing quantities: tables, graphs, equations

Grade 6 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

  1. Table. m (minutes): 3, 6, 9. l (liters): 24, 48, 72. Jun's sprinkler uses water at a steady rate. It has used 120 liters. For how many minutes has it run?

  2. Table. m (magnets): 40, 80, 120. b (boxes): 4, 8, 12. Every box Kira opens has the same number of magnets. The science room has 200 magnets. How many boxes is that?

  3. Table. t (hours): 2, 4, 6. d (miles): 7, 14, 21. Milo walks and covers 3.5 more miles each hour. What equation for d fits?

  4. Pia jogs and covers 4.5 more miles each hour, and the trip is graphed. What equation for d fits?

  5. The growth of Ren's sunflower is graphed. What equation for h fits?

  6. Table. s (Esme's age in years): 2, 5, 9. n (Noah's age in years): 6, 9, 13. Noah's and Esme's ages are shown at three birthdays. What equation for n fits?

  7. Table. k (Kira's meters): 5, 8, 12. t (Tala's meters): 10, 13, 17. Tala starts 5 m ahead of Kira on a path, and the table shows where each stands. What equation for t fits?

  8. Table. s (stickers): 25, 50, 75. p (pages): 1, 2, 3. Zee's sticker pad has the same number of stickers on every page. The table shows stickers s and pages p. Which is the dependent variable?

    • p (pages)
    • s (stickers)
    • Both: neither one depends on the other
  9. The magnets in Ari's boxes are graphed. Magnets m are on the vertical axis and boxes b are on the horizontal axis. What does the plotted point say?

    • m = 90 for each box
    • b = 5 and m = 90
    • b = 90 and m = 5
  10. Table. t (days): 1, 2, 3. h (millimeters): 3, 6, 9. Jun's seedling grows the same amount each day, and the growth is graphed from the table. Which variable goes on the horizontal axis?

    • Either one: it does not matter
    • t (days), the independent variable
    • h (millimeters), the dependent variable
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Two changing quantities: tables, graphs, equations

Answer Key - Grade 6 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

  1. Table. m (minutes): 3, 6, 9. l (liters): 24, 48, 72. Jun's sprinkler uses water at a steady rate. It has used 120 liters. For how many minutes has it run?

    15
  2. Table. m (magnets): 40, 80, 120. b (boxes): 4, 8, 12. Every box Kira opens has the same number of magnets. The science room has 200 magnets. How many boxes is that?

    20
  3. Table. t (hours): 2, 4, 6. d (miles): 7, 14, 21. Milo walks and covers 3.5 more miles each hour. What equation for d fits?

    d = 3.5t
  4. Pia jogs and covers 4.5 more miles each hour, and the trip is graphed. What equation for d fits?

    d = 4.5t
  5. The growth of Ren's sunflower is graphed. What equation for h fits?

    h = 2.5w
  6. Table. s (Esme's age in years): 2, 5, 9. n (Noah's age in years): 6, 9, 13. Noah's and Esme's ages are shown at three birthdays. What equation for n fits?

    n = s + 4
  7. Table. k (Kira's meters): 5, 8, 12. t (Tala's meters): 10, 13, 17. Tala starts 5 m ahead of Kira on a path, and the table shows where each stands. What equation for t fits?

    t = k + 5
  8. Table. s (stickers): 25, 50, 75. p (pages): 1, 2, 3. Zee's sticker pad has the same number of stickers on every page. The table shows stickers s and pages p. Which is the dependent variable?

    • p (pages)
    • s (stickers)
    • Both: neither one depends on the other
  9. The magnets in Ari's boxes are graphed. Magnets m are on the vertical axis and boxes b are on the horizontal axis. What does the plotted point say?

    • m = 90 for each box
    • b = 5 and m = 90
    • b = 90 and m = 5
  10. Table. t (days): 1, 2, 3. h (millimeters): 3, 6, 9. Jun's seedling grows the same amount each day, and the growth is graphed from the table. Which variable goes on the horizontal axis?

    • Either one: it does not matter
    • t (days), the independent variable
    • h (millimeters), the dependent variable