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. m (minutes): 3, 6, 9. w (words): 120, 240, 360. Esme types 40 more words each minute. What equation for w fits?

  3. Table. t (hours): 2, 4, 6. d (miles): 110, 220, 330. Jun rides in a car at a steady speed. What is d when t is 5?

  4. 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?

  5. 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?

    • t (trays)
    • m (mangoes)
    • Both: neither one depends on the other
  6. 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?

    • m (minutes), the independent variable
    • w (words), the dependent variable
    • Either one: it does not matter
  7. Table. b (boxes): 1, 2, 3. c (crayons): 24, 48, 72. Every box Tala opens has the same number of crayons, and the crayons are graphed from the table. Which variable goes on the horizontal axis?

    • c (crayons), the dependent variable
    • Either one: it does not matter
    • b (boxes), the independent variable
  8. Zee's car trip is graphed. Miles d are on the vertical axis and hours t are on the horizontal axis. What does the plotted point say?

    • d = 150 for each hour
    • t = 150 and d = 3
    • t = 3 and d = 150
  9. 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
  10. Table. m (Milo's age in years): 6, 7, 8. c (the cousin's age in years): 3, 4, 5. Milo's age and the age of Milo's cousin are shown in the table. What equation for m 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. m (minutes): 3, 6, 9. w (words): 120, 240, 360. Esme types 40 more words each minute. What equation for w fits?

    w = 40m
  3. Table. t (hours): 2, 4, 6. d (miles): 110, 220, 330. Jun rides in a car at a steady speed. What is d when t is 5?

    275
  4. 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
  5. 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?

    • t (trays)
    • m (mangoes)
    • Both: neither one depends on the other
  6. 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?

    • m (minutes), the independent variable
    • w (words), the dependent variable
    • Either one: it does not matter
  7. Table. b (boxes): 1, 2, 3. c (crayons): 24, 48, 72. Every box Tala opens has the same number of crayons, and the crayons are graphed from the table. Which variable goes on the horizontal axis?

    • c (crayons), the dependent variable
    • Either one: it does not matter
    • b (boxes), the independent variable
  8. Zee's car trip is graphed. Miles d are on the vertical axis and hours t are on the horizontal axis. What does the plotted point say?

    • d = 150 for each hour
    • t = 150 and d = 3
    • t = 3 and d = 150
  9. 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
  10. Table. m (Milo's age in years): 6, 7, 8. c (the cousin's age in years): 3, 4, 5. Milo's age and the age of Milo's cousin are shown in the table. What equation for m fits?

    m = c + 3