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The Equation of a Line Practice Questions

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Updated on Oct 5, 2011

Review the following concept if necessary: The Equation of a Line Study Guide.

The Equation of a Line Practice Questions

Problems

Identify each equation as linear or nonlinear.

  1. x – 3y = 0
  2. 3y2 = 2x
  3. x2 + y2 = 49
  4. x + y = 15
  5. y = –12
  6. 4x – 7y = 28
  7. 3x + 2y2 = 12
  8. x = 4y2 – 3

 

Determine if the ordered pairs satisfy the linear equation 2x + 5y = 10.

  1. (0,–2)
  2. (10,1)
  3. (–5,–4)
  4. (15,4)
  5. (3,–1)
  6. (5,0)

Determine whether each ordered pair satisfies the linear equation y = –2(2x – 3).

  1. (–3,–6)
  2. (–1,–10)
  3. (0,6)
  4. (6,–18)
  5. (2,2)
  6. (3,–6)

 

Find three ordered pairs that satisfy each equation. Then graph each equation.

  1. y = 2x + 3
  2. y = –x
  3. y = 2x + 4
  4. y = 4x – 5
  5. y = x + 6
  6. y = 5x – 1

Answers

  1. linear
  2. nonlinear
  3. nonlinear
  4. linear
  5. linear
  6. linear
  7. linear
  8. linear
  9. nonlinear
  10. linear
  11. yes
  12. no
  13. no
  14. yes
  15. yes
  16. no
  17. yes
  18. yes
  19. no
  20. no
  21. yes
  22. yes
  23. no
  24. yes
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