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Oak MathsTest · Maths

Solving a quadratic and linear pair of simultaneous equations graphically

The starter and exit quiz of the lesson “Solving a quadratic and linear pair of simultaneous equations graphically”, from the unit “Simultaneous equations: 2 variables” (Year 10 Maths) by Oak National Academy.

Free to use. Edit it, share it and hand it out to your students.

Oak National Academy

12 questions

  1. What is the positive coordinate pair that solves both x^2 + y^2 = 13 and 9x -9y = 9?
  2. What is the positive coordinate pair that solves both x^2 + y^2 = 17 and 5x - 5y = 15?
  3. What is the positive coordinate pair that solves both x^2 + y^2 = 40 and 3x - 3y = 12?
  4. If equation A is x^2 + 4y = 68 and equation B is 2x - 8y = 8, which coordinate pair would sit in the intersection of A and B?
  5. If equation A is 2x - 10y = -14 and equation B is x^2 + y^2 = 13, which coordinate pair would sit in A and not B?
  6. If equation A is x^2 + 3y = 24 and equation B is 8x - 6y = -6, which coordinate pair would sit in A and not B?
  7. How many solutions satisfy both equations?
  8. How many solutions satisfy both equations?
  9. How many solutions satisfy both equations?
  10. How many solutions satisfy both equations?
  11. When y = 0, how many solutions are there for the equation?
  12. When y = 0, how many solutions are there for the equation?

License: OGL

Solving a quadratic and linear pair of simultaneous equations graphically · Examplary