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. 1.

   Table. m (minutes): 1, 2, 3. l (liters): 4, 8, 12. Esme's bucket gets 4 more liters each minute. Each row is m equal bars of the same size. What equation for l fits?

   l = 4m
2. 2.

   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
3. 3.

   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
4. 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. 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. 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. 7.

   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
8. 8.

   Table. b (Bo's acorns): 1, 2, 3. k (Kira's acorns): 12, 13, 14. Bo and Kira collect acorns in the park. In every row, k is a bar for b with one extra piece added on. What equation for k fits?

   k = b + 11
9. 9.

   Table. p (pages): 1, 2, 3. s (stickers): 6, 12, 18. Kira's sticker pages hold equal stickers. The table shows pages p and stickers s. Which is the dependent variable? (The independent variable is the one we choose. The other one depends on it.)

   • Both: neither one depends on the other
   • s (stickers)
   • p (pages)
10. 10.

    Pia's bucket filling is graphed. Liters l are on the vertical axis and minutes m are on the horizontal axis. What does the plotted point say? (A point is written (across, up).)

    • m = 15 and l = 3
    • l = 15 for each minute
    • m = 3 and l = 15