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Tell linear from nonlinear functions

8th grade (Year 9 in England) · 16 questions · Common Core: 8.F.A.3 · England: KS3 Algebra

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  1. Question 1

    Which equation is NOT linear?

    • A. y = 7 − x
    • B. y = x² + 1
    • C. y = 3x − 2
    • D. y = x/2 + 1

  2. Question 2

    x: 0, 1, 2, 3, 4. y: 4, 6, 8, 10, 12. Is the function linear?

    • A. Linear
    • B. Nonlinear

  3. Question 3

    Which equation is NOT linear?

    • A. y = 3x − 2
    • B. 2x + y = 5
    • C. y = x/2 + 1
    • D. y = x² + 1

  4. Question 4

    x: 0, 1, 2, 3, 4. y: 0, 1, 4, 9, 16. Is the function linear?

    • A. Linear
    • B. Nonlinear

  5. Question 5

    Which equation is NOT linear?

    • A. y = 2/x
    • B. 2x + y = 5
    • C. y = 3x − 2
    • D. y = 7 − x

  6. Question 6

    x: 0, 1, 2, 3, 4. y: −4, −3, 0, 5, 12. Is the function linear?

    • A. Linear
    • B. Nonlinear

  7. Question 7

    Which equation is NOT linear?

    • A. y = 7 − x
    • B. y = 2/x
    • C. y = x/2 + 1
    • D. y = 3x − 2

  8. Question 8

    x: 0, 1, 2, 3, 4. y: 4, 1, −2, −5, −8. Is the function linear?

    • A. Linear
    • B. Nonlinear

  9. Question 9

    Which equation is NOT linear?

    • A. y = x/2 + 1
    • B. y = 7 − x
    • C. y = x² + 1
    • D. 2x + y = 5

  10. Question 10

    x: 0, 1, 2, 3, 4. y: −1, 1, 3, 5, 7. Is the function linear?

    • A. Linear
    • B. Nonlinear

  11. Question 11

    Which equation is NOT linear?

    • A. 2x + y = 5
    • B. y = x² + 1
    • C. y = 7 − x
    • D. y = 3x − 2

  12. Question 12

    x: 0, 1, 2, 3, 4. y: −1, 4, 9, 14, 19. Is the function linear?

    • A. Linear
    • B. Nonlinear

  13. Question 13

    Which equation is NOT linear?

    • A. 2x + y = 5
    • B. y = 7 − x
    • C. y = 3x − 2
    • D. y = 2/x

  14. Question 14

    x: 0, 1, 2, 3, 4. y: −1, 0, 3, 8, 15. Is the function linear?

    • A. Linear
    • B. Nonlinear

  15. Question 15

    Which equation is NOT linear?

    • A. y = 2/x
    • B. y = 7 − x
    • C. y = x/2 + 1
    • D. 2x + y = 5

  16. Question 16

    x: 0, 1, 2, 3, 4. y: −1, 3, 7, 11, 15. Is the function linear?

    • A. Linear
    • B. Nonlinear

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Answer key: Tell linear from nonlinear functions

  1. 1. B. y = x² + 1

  2. 2. A. Linear

  3. 3. D. y = x² + 1

  4. 4. B. Nonlinear

  5. 5. A. y = 2/x

  6. 6. B. Nonlinear

  7. 7. B. y = 2/x

  8. 8. A. Linear

  9. 9. C. y = x² + 1

  10. 10. A. Linear

  11. 11. B. y = x² + 1

  12. 12. A. Linear

  13. 13. D. y = 2/x

  14. 14. B. Nonlinear

  15. 15. A. y = 2/x

  16. 16. A. Linear