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Linear Equations: One, No, or Infinitely Many Solutions (Grade 8)

Free printable Grade 8 algebra worksheet: solve linear equations with variables on both sides and decide whether each has one solution, no solution, or infinitely many. Every answer computed.

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Grade 8 · Math worksheet
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Linear Equations: One, No, or Infinitely Many Solutions

Solve each linear equation. Some have one solution, some have no solution, and some are true for every value of x. State which, and give the solution when there is exactly one.

  1. 1.
    Solve for x: 8x + 8 = 6x + 8
  2. 2.
    Solve for x: 6x - 9 = 7x - 8
  3. 3.
    Solve for x: 4(x - 1) = 3x + 2
  4. 4.
    Solve for x: 6(x + 8) = 7x + 52
  5. 5.
    Solve for x: 4x + 3 = 4x - 6
  6. 6.
    Solve for x: 9x - 7 = 9x + 2
  7. 7.
    Solve for x: 5(x + 4) = 5x + 24
  8. 8.
    Solve for x: 2(x + 4) = 2x + 8
  9. 9.
    Solve for x: 2(6x + 3) = 12x + 6
  10. 10.
    Solve for x: 3(2x - 5) = 6x - 15
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