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Solving quadratic equations by using the formula

The starter and exit quiz of the lesson “Solving quadratic equations by using the formula”, from the unit “Algebraic manipulation” (Year 10 Maths) by Oak National Academy.

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12 questions

  1. Using the formula 3m = 20x + 12y, if x = 3 and y = 9, what calculation would find m?
  2. Using the formula 2m = 14x + y, if x = 8 and y = 5, what calculation would find m?
  3. Using the formula x = 3a + t^2, if a = 5 and t = 6, what calculation would find x?
  4. Using the formula x = 3a + t^2, if a = 3 and t = 1, what calculation would find x?
  5. Rearrange 3m + t + 12 = 14g to make t the subject
  6. Rearrange 3m - 5 = 14g - w to make w the subject
  7. What are the values of x that solve 2x^2 + 12x + 10 = 0 ? (answer in the form "a,b")
  8. What are the values of x that solve x^2 - 6x + 8 = 0 ? (answer in the form "a,b")
  9. What are the values of x that solve 3x^2 + 9x - 12 = 0 ? (answer in the form "a,b")
  10. What are the values of x that solve x^2 + 4x - 21 = 0 ? (answer in the form "a,b")
  11. What are the values of x that solve x^2 + 10x + 16 = 0 ? (answer in the form "a,b")
  12. What are the values of x that solve x^2 + 6x + 8 = 0 ? (answer in the form "a,b")

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Solving quadratic equations by using the formula · Examplary