Two changing quantities: tables, graphs, equations

Grade 6 Math Worksheet

NameDate

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

  1. Table. l (liters): 8, 16, 24. m (minutes): 1, 2, 3. Tala's tub gets 8 more liters each minute. What equation for l fits?

  2. Table. p (pages): 35, 70, 105. m (minutes): 5, 10, 15. Bo's printer prints at a steady rate. What equation for p fits?

  3. Table. c (crayons): 120, 240, 360. b (boxes): 5, 10, 15. Every box Luz opens has the same number of crayons. What is c when b is 8?

  4. Table. t (trays): 1, 2, 3. m (mangoes): 12, 24, 36. Every tray Milo packs holds the same number of mangoes. What is m when t is 6?

  5. Table. m (minutes): 1, 2, 3. l (liters): 8, 16, 24. Noah's circle fills a tub at a steady rate. The table shows minutes m and liters l. Which is the independent variable?

    • l (liters)
    • m (minutes)
    • Both: neither one depends on the other
  6. Table. m (mangoes): 12, 24, 36. t (trays): 1, 2, 3. Every tray Pia packs holds the same number of mangoes. The table shows mangoes m and trays t. Which is the dependent variable?

    • Both: neither one depends on the other
    • m (mangoes)
    • t (trays)
  7. Table. w (words): 40, 80, 120. m (minutes): 1, 2, 3. Ren types at a steady speed, and the words are graphed from the table. Which variable goes on the horizontal axis?

    • w (words), the dependent variable
    • m (minutes), the independent variable
    • Either one: it does not matter
  8. Ari's reading is graphed. Hours h are on the horizontal axis and pages p are on the vertical axis. What does the plotted point say?

    • p = 120 for each hour
    • h = 120 and p = 4
    • h = 4 and p = 120
  9. Table. z (Zee's buttons): 2, 3, 4. l (Luz's buttons): 8, 9, 10. Luz and Zee collect buttons. Luz always has the same number more than Zee. What equation for l fits?

  10. Table. b (Bo's age in years): 3, 4, 5. a (Ari's age in years): 12, 13, 14. Ari's and Bo's ages are shown in the table. What equation for a fits?

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Two changing quantities: tables, graphs, equations

Answer Key - Grade 6 Math Worksheet

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

  1. Table. l (liters): 8, 16, 24. m (minutes): 1, 2, 3. Tala's tub gets 8 more liters each minute. What equation for l fits?

    l = 8m
  2. Table. p (pages): 35, 70, 105. m (minutes): 5, 10, 15. Bo's printer prints at a steady rate. What equation for p fits?

    p = 7m
  3. Table. c (crayons): 120, 240, 360. b (boxes): 5, 10, 15. Every box Luz opens has the same number of crayons. What is c when b is 8?

    192
  4. Table. t (trays): 1, 2, 3. m (mangoes): 12, 24, 36. Every tray Milo packs holds the same number of mangoes. What is m when t is 6?

    72
  5. Table. m (minutes): 1, 2, 3. l (liters): 8, 16, 24. Noah's circle fills a tub at a steady rate. The table shows minutes m and liters l. Which is the independent variable?

    • l (liters)
    • m (minutes)
    • Both: neither one depends on the other
  6. Table. m (mangoes): 12, 24, 36. t (trays): 1, 2, 3. Every tray Pia packs holds the same number of mangoes. The table shows mangoes m and trays t. Which is the dependent variable?

    • Both: neither one depends on the other
    • m (mangoes)
    • t (trays)
  7. Table. w (words): 40, 80, 120. m (minutes): 1, 2, 3. Ren types at a steady speed, and the words are graphed from the table. Which variable goes on the horizontal axis?

    • w (words), the dependent variable
    • m (minutes), the independent variable
    • Either one: it does not matter
  8. Ari's reading is graphed. Hours h are on the horizontal axis and pages p are on the vertical axis. What does the plotted point say?

    • p = 120 for each hour
    • h = 120 and p = 4
    • h = 4 and p = 120
  9. Table. z (Zee's buttons): 2, 3, 4. l (Luz's buttons): 8, 9, 10. Luz and Zee collect buttons. Luz always has the same number more than Zee. What equation for l fits?

    l = z + 6
  10. Table. b (Bo's age in years): 3, 4, 5. a (Ari's age in years): 12, 13, 14. Ari's and Bo's ages are shown in the table. What equation for a fits?

    a = b + 9