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Linear or nonlinear? Tables

Grade 8 math · Fieldbook Learning

Name ______________________ Date __________

Find the rate of change between neighbouring columns. If it is always the same, the relationship is linear.

  1. Is this relationship linear or nonlinear? x = 2, 5, 8, 11 and y = −5, −17, −29, −41. Write linear or nonlinear.
  2. Is this relationship linear or nonlinear? x = −1, 0, 1, 2 and y = −9, −15, −21, −27. Write linear or nonlinear.
  3. Is this relationship linear or nonlinear? x = −3, −2, −1, 0 and y = −8, −7, −4, 1. Write linear or nonlinear.
  4. Is this relationship linear or nonlinear? x = 2, 4, 6, 8 and y = −5, 3, 11, 19. Write linear or nonlinear.
  5. Is this relationship linear or nonlinear? x = −4, −1, 2, 5 and y = −3, −21, −39, −57. Write linear or nonlinear.
  6. Is this relationship linear or nonlinear? x = 2, 4, 6, 8 and y = −8, −4, 0, 6. Write linear or nonlinear.
  7. Is this relationship linear or nonlinear? x = 3, 6, 9, 12 and y = −1, −25, −49, −76. Write linear or nonlinear.
  8. Is this relationship linear or nonlinear? x = 1, 3, 5, 7 and y = −9, 3, 15, 30. Write linear or nonlinear.
  9. Is this relationship linear or nonlinear? x = −2, 1, 4, 7, 10 and y = −1, 23, 47, 71, 95. Write linear or nonlinear.
  10. Is this relationship linear or nonlinear? x = 4, 5, 6, 7, 8 and y = 6, 16, 26, 36, 46. Write linear or nonlinear.
  11. Is this relationship linear or nonlinear? x = −4, −2, 0, 2, 4 and y = −1, 3, 15, 35, 63. Write linear or nonlinear.
  12. Is this relationship linear or nonlinear? x = 1, 2, 3, 4, 5 and y = −1, 0, 3, 8, 15. Write linear or nonlinear.
  13. Is this relationship linear or nonlinear? x = −2, 0, 2, 4, 6 and y = 3, 15, 27, 39, 49. Write linear or nonlinear.
  14. Is this relationship linear or nonlinear? x = 0, 3, 6, 9, 12 and y = 5, 14, 41, 86, 149. Write linear or nonlinear.
  15. Is this relationship linear or nonlinear? x = 4, 5, 6, 7, 8 and y = 8, 1, −6, −13, −23. Write linear or nonlinear.
  16. Is this relationship linear or nonlinear? x = 0, 1, 2, 3, 4 and y = 7, 6, 5, 4, 3. Write linear or nonlinear.
  17. Is this relationship linear or nonlinear? x = 1, 3, 5, 7, 9, 11 and y = −6, −24, −42, −60, −78, −96. Write linear or nonlinear.
  18. Is this relationship linear or nonlinear? x = 0, 2, 4, 6, 8, 10 and y = 5, 25, 45, 65, 85, 105. Write linear or nonlinear.
  19. Is this relationship linear or nonlinear? x = 0, 2, 4, 6, 8, 10 and y = 8, 24, 40, 56, 72, 88. Write linear or nonlinear.
  20. Is this relationship linear or nonlinear? x = 3, 6, 9, 12, 15, 18 and y = −7, 11, 29, 47, 65, 86. Write linear or nonlinear.
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Answer key: Linear or nonlinear? Tables

  1. linear
  2. linear
  3. nonlinear
  4. linear
  5. linear
  6. nonlinear
  7. nonlinear
  8. nonlinear
  9. linear
  10. linear
  11. nonlinear
  12. nonlinear
  13. nonlinear
  14. nonlinear
  15. nonlinear
  16. linear
  17. linear
  18. linear
  19. linear
  20. nonlinear