Two changing quantities: tables, graphs, equations
Grade 6 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.
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?
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?
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?
Pia jogs and covers 4.5 more miles each hour, and the trip is graphed. What equation for d fits?
The growth of Ren's sunflower is graphed. What equation for h fits?
Graph. Horizontal axis: w (weeks), ticks every 1, from 0 to 8. Vertical axis: h (centimeters), ticks every 5, from 0 to 20. Points, left to right: (2, 5), (4, 10), (6, 15). Graph. Horizontal axis: w (weeks), ticks every 1, from 0 to 8. Vertical axis: h (centimeters), ticks every 5, from 0 to 20. Points, left to right: (2, 5), (4, 10), (6, 15). 0 1 2 3 4 5 6 7 8 0 5 10 15 20 w (weeks) h (centimeters) 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?
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?
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
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?
Graph. Horizontal axis: b (boxes), ticks every 1, from 0 to 8. Vertical axis: m (magnets), ticks every 10, from 0 to 100. One point is plotted at (5, 90). Graph. Horizontal axis: b (boxes), ticks every 1, from 0 to 8. Vertical axis: m (magnets), ticks every 10, from 0 to 100. One point is plotted at (5, 90). 0 1 2 3 4 5 6 7 8 0 10 20 30 40 50 60 70 80 90 100 b (boxes) m (magnets) - m = 90 for each box
- b = 5 and m = 90
- b = 90 and m = 5
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