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Systems of equations quiz

Students practise solving systems of equations using graphing and methods including substitution and elimination, identifying solution types (one, none, or infinitely many) from prompts and multiple-choice/select-all statements. Level: 8th grade.

By Edform · Mathematics · Grade 8 · Published Oct 28, 2026 · New

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Questions

  1. The lines y = 2x + 1 and y = -x + 7 intersect at which point?
  2. For the system x + y = 9 and y = 2x - 3, select all statements that are correct.
  3. If two equations graph as the same line, their system has infinitely many solutions.
  4. Solve the system: 3x + 2y = 16 and x - 2y = 0.
  5. How many solutions does the system y = 3x + 2 and y = 3x - 4 have?
  6. For the system x + y = 10 and x = 6, substituting for x gives 6 + y = 10.
  7. Solve the system x + y = 13 and x - y = 5. What is the value of x?
  8. Which system has infinitely many solutions?
  9. For the system 2x + 3y = 12 and 4x - 3y = 6, select all correct results from solving by elimination.
  10. The system x = 2 and x = -2 has no solution.

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