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. p (pages): 60, 120, 180. m (minutes): 5, 10, 15. Esme's printer prints at a steady rate. It has printed 360 pages. For how many minutes has it printed?

  2. 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?

  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. Table. c (centimeters of rain): 3, 6, 9. h (hours): 2, 4, 6. Rain fills Noah's rain gauge at a steady rate. What equation for c fits?

  5. 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?

  6. Table. b (Bo's pages): 4, 7, 11. a (Ari's pages): 16, 19, 23. Ari and Bo each read some pages on three days. What equation for a 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. m (magnets): 18, 36, 54. b (boxes): 1, 2, 3. Every box Tala opens has the same number of magnets. The table shows magnets m and boxes b. Which is the independent variable?

    • b (boxes)
    • Both: neither one depends on the other
    • m (magnets)
  9. 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?

    • s (stickers)
    • Both: neither one depends on the other
    • p (pages)
  10. Bo's rain gauge is graphed. Hours h are on the horizontal axis and centimeters of rain c are on the vertical axis. What does the plotted point say?

    • c = 6 for each hour
    • h = 4 and c = 6
    • h = 6 and c = 4
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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. p (pages): 60, 120, 180. m (minutes): 5, 10, 15. Esme's printer prints at a steady rate. It has printed 360 pages. For how many minutes has it printed?

    30
  2. 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
  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. Table. c (centimeters of rain): 3, 6, 9. h (hours): 2, 4, 6. Rain fills Noah's rain gauge at a steady rate. What equation for c fits?

    c = 1.5h
  5. 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
  6. Table. b (Bo's pages): 4, 7, 11. a (Ari's pages): 16, 19, 23. Ari and Bo each read some pages on three days. What equation for a fits?

    a = b + 12
  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. m (magnets): 18, 36, 54. b (boxes): 1, 2, 3. Every box Tala opens has the same number of magnets. The table shows magnets m and boxes b. Which is the independent variable?

    • b (boxes)
    • Both: neither one depends on the other
    • m (magnets)
  9. 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?

    • s (stickers)
    • Both: neither one depends on the other
    • p (pages)
  10. Bo's rain gauge is graphed. Hours h are on the horizontal axis and centimeters of rain c are on the vertical axis. What does the plotted point say?

    • c = 6 for each hour
    • h = 4 and c = 6
    • h = 6 and c = 4