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Oak MathsTest · Maths

Solving a quadratic and linear pair of simultaneous equations using substitution

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

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Oak National Academy

12 questions

  1. Which of these is not a solution for simultaneous equations 2x^2 + 8y = 34 and x - 2y = -1?
  2. Write the positive coordinate solution for 2x^2 + 6y = 38 and x - y = -3
  3. What is the negative value of x for 4x^2 + 8x - 12 = 0
  4. What is the value of x for 4x^2 + 8x + 4 = 0
  5. What is the negative value of x for 6x^2 + 12x - 18 = 0
  6. What is the positive value of x for 2x^2 + 6x - 8 = 0
  7. If equation A is x^2 + 3y = 24 and equation B is 4x - 3y = -3, which coordinate pair would sit in A and not B?
  8. If equation A is x - 5y = -7 and equation B is x^2 + y^2 = 13, which coordinate pair would sit in A and not B?
  9. If equation A is x^2 + 4y = 68 and equation B is x - 4y = 4, which coordinate pair would sit in the intersection of A and B?
  10. What is the positive coordinate pair that solves both x^2 + y^2 = 17 and x - y = 3?
  11. What is the positive coordinate pair that solves both x^2 + y^2 = 40 and x - y = 4?
  12. What is the positive coordinate pair that solves both x^2 + y^2 = 13 and x - y = -1?

License: OGL

Solving a quadratic and linear pair of simultaneous equations using substitution · Examplary