Two changing quantities: tables, graphs, equations

Grade 6 Math Worksheet - Building Confidence

NameDate

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

  1. Table. w (words): 20, 40, 60. m (minutes): 1, 2, 3. Jun types at a steady speed. Each row is m equal bars of the same size. What equation for w fits?

  2. Table. t (hours): 2, 4, 6. d (miles): 6, 12, 18. Kira hikes and walks 3 more miles each hour. Each row is t equal bars of the same size. What equation for d fits?

  3. Table. m (minutes): 3, 6, 9. l (liters): 18, 36, 54. Pia's garden hose runs at a steady rate. Each row is m equal bars of the same size. What equation for l fits?

  4. Table. t (hours): 1, 2, 3. d (miles): 5, 10, 15. Ren jogs at a steady speed. Each row is t equal bars of the same size. What is d when t is 4?

  5. Table. d (kilometers): 24, 48, 72. t (hours): 2, 4, 6. Zee cycles at a steady speed. Each row is t equal bars of the same size. What is d when t is 5?

  6. Table. p (pages): 3, 6, 9. s (stickers): 30, 60, 90. Bo's sticker book has the same number of stickers on every page. Each row is p equal bars of the same size. What is s when p is 4?

  7. Table. w (weeks): 1, 2, 3. h (centimeters): 7, 8, 9. Esme measures a seedling each week. In every row, h is a bar for w with one extra piece added on. What equation for h fits?

  8. Table. s (Esme's blocks): 5, 6, 7. a (Ari's blocks): 1, 2, 3. Ari and Esme each build a tower of blocks. In every row, s is a bar for a with one extra piece added on. What equation for s fits?

  9. Milo's run is graphed. Miles d are on the vertical axis and hours t are on the horizontal axis. What does the plotted point say? (A point is written (across, up).)

    • t = 20 and d = 4
    • t = 4 and d = 20
    • d = 20 for each hour
  10. Noah's printer pages are graphed. Minutes m are on the horizontal axis and pages p are on the vertical axis. What does the plotted point say? (A point is written (across, up).)

    • p = 40 for each minute
    • m = 4 and p = 40
    • m = 40 and p = 4
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Two changing quantities: tables, graphs, equations

Answer Key - Grade 6 Math Worksheet - Building Confidence

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

  1. Table. w (words): 20, 40, 60. m (minutes): 1, 2, 3. Jun types at a steady speed. Each row is m equal bars of the same size. What equation for w fits?

    w = 20m
  2. Table. t (hours): 2, 4, 6. d (miles): 6, 12, 18. Kira hikes and walks 3 more miles each hour. Each row is t equal bars of the same size. What equation for d fits?

    d = 3t
  3. Table. m (minutes): 3, 6, 9. l (liters): 18, 36, 54. Pia's garden hose runs at a steady rate. Each row is m equal bars of the same size. What equation for l fits?

    l = 6m
  4. Table. t (hours): 1, 2, 3. d (miles): 5, 10, 15. Ren jogs at a steady speed. Each row is t equal bars of the same size. What is d when t is 4?

    20
  5. Table. d (kilometers): 24, 48, 72. t (hours): 2, 4, 6. Zee cycles at a steady speed. Each row is t equal bars of the same size. What is d when t is 5?

    60
  6. Table. p (pages): 3, 6, 9. s (stickers): 30, 60, 90. Bo's sticker book has the same number of stickers on every page. Each row is p equal bars of the same size. What is s when p is 4?

    40
  7. Table. w (weeks): 1, 2, 3. h (centimeters): 7, 8, 9. Esme measures a seedling each week. In every row, h is a bar for w with one extra piece added on. What equation for h fits?

    h = w + 6
  8. Table. s (Esme's blocks): 5, 6, 7. a (Ari's blocks): 1, 2, 3. Ari and Esme each build a tower of blocks. In every row, s is a bar for a with one extra piece added on. What equation for s fits?

    s = a + 4
  9. Milo's run is graphed. Miles d are on the vertical axis and hours t are on the horizontal axis. What does the plotted point say? (A point is written (across, up).)

    • t = 20 and d = 4
    • t = 4 and d = 20
    • d = 20 for each hour
  10. Noah's printer pages are graphed. Minutes m are on the horizontal axis and pages p are on the vertical axis. What does the plotted point say? (A point is written (across, up).)

    • p = 40 for each minute
    • m = 4 and p = 40
    • m = 40 and p = 4