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Oak MathsTest · Maths

Solving quadratic equations by completing the square

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

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Oak National Academy

12 questions

  1. Which of these is a solution for (x - 3)^2 = 0?
  2. Which of these is a solution for x^2 = 0?
  3. Which of these is a solution for (x - 4)(x + 2) = 0?
  4. The equation for this curve is y=x^2 + 3x + 3. How many real solutions will it have?
  5. Rearrange the following equation to make m the subject: 3x - m = 9
  6. Rearrange the following equation to make x the subject: 3x - m = 9
  7. Write x^2 + 4x + 5 in the form of (x + p)^2 + q
  8. Express x^2 + 6x + 10 as (x + p)^2 + q
  9. Express x^2 + 8x + 14 as (x + p)^2 + q
  10. Put x^2 - 4x + 5 in the form (x + p)^2 + q
  11. Solve by completing the square: x^2 + 6x + 8 = 0
  12. Solve by completing the square: x^2 + 6x + 5 = 0

License: OGL

Solving quadratic equations by completing the square · Examplary