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Linear or nonlinear equations

Grade 8 math · Fieldbook Learning

Name ______________________ Date __________

An equation is linear if x is only multiplied by numbers and added. If x is squared, cubed or in a denominator, it is nonlinear.

  1. Is the equation y = 9x² − 2 linear or nonlinear? Write linear or nonlinear.
  2. Is the equation y = 9x + 1 linear or nonlinear? Write linear or nonlinear.
  3. Is the equation 9x + 5y = 45 linear or nonlinear? Write linear or nonlinear.
  4. Is the equation y = 2 − 8x linear or nonlinear? Write linear or nonlinear.
  5. Is the equation y = −2x + 12 linear or nonlinear? Write linear or nonlinear.
  6. Is the equation y = 3x² + 14x linear or nonlinear? Write linear or nonlinear.
  7. Is the equation y = 12 − 12x linear or nonlinear? Write linear or nonlinear.
  8. Is the equation y = 12x − 7 linear or nonlinear? Write linear or nonlinear.
  9. Is the equation 9x + 4y = 36 linear or nonlinear? Write linear or nonlinear.
  10. Is the equation y = x² + 17 linear or nonlinear? Write linear or nonlinear.
  11. Is the equation y = 14 − 2x linear or nonlinear? Write linear or nonlinear.
  12. Is the equation y = −8x + 5 linear or nonlinear? Write linear or nonlinear.
  13. Is the equation y = 7x − 3 linear or nonlinear? Write linear or nonlinear.
  14. Is the equation y = 14x² − 15 linear or nonlinear? Write linear or nonlinear.
  15. Is the equation y = 5x + 3 linear or nonlinear? Write linear or nonlinear.
  16. Is the equation y = 6x − 18 linear or nonlinear? Write linear or nonlinear.
  17. Is the equation y = 15 ÷ x linear or nonlinear? Write linear or nonlinear.
  18. Is the equation y = 28 ÷ x linear or nonlinear? Write linear or nonlinear.
  19. Is the equation y = 29x² − 17 linear or nonlinear? Write linear or nonlinear.
  20. Is the equation y = 11 − 8x linear or nonlinear? Write linear or nonlinear.
More free practice: fieldbooklearning.com/practice/grade-8/linear-or-nonlinear-equations/

Answer key: Linear or nonlinear equations

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