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Solving Quadratic Equations Algebraically · CSEC Mathematics

22 past-paper questions on Solving Quadratic Equations Algebraically, part of ALGEBRA, from every CSEC Mathematics paper on Quelpr.

Practise Solving Quadratic Equations Algebraically
  1. 2(b)(iii)2 marks· CSEC Mathematics · 2021 · Paper 2Calculate Ally's present age.
  2. 2(a)(ii)1 mark· CSEC Mathematics · 2022 · Paper 2Hence, solve the equation 5x^2 - 9x + 4 = 0.
  3. 3 marks· CSEC May 2018 P2 Q3(a)Solve for x: x^{2} - 5x + 6 = 0. Give your answers exactly.
  4. 2(a)(ii)2 marks· Mathematics Q2 2(a)(ii)Solve the following equation by factorization: 2x² - 9x = 0.
  5. 2(b)(ii)2 marks· Mathematics Q2 2(b)(ii)2x² + 5x - 3 = 0
  6. 2(c)4 marks· Mathematics Q2 2(c)Solve for x, given 3x² - 7x + 2 = 0.
  7. 6(c)2 marks· Mathematics Q6 6(c)Solve the equation and find the distance GH.
  8. 7(c)(iii)1 mark· Mathematics Q7 7(c)(iii)Hence, write the equation whose roots are the x-coordinates stated in (c) (ii).
  9. 8(b)(ii)2 marks· Mathematics Q8 8(b)(ii)Calculate, to 3 decimal places, the value of x.
  10. 9(a)(i)3 marks· Mathematics Q9 9(a)(i)Show, by calculation, that the EXACT roots of the quadratic equation x² + 2x - 5 = 0 are -1 ± √6.
  11. 9(b)(ii)4 marks· Mathematics Q9 9(b)(ii)Hence, or otherwise, determine the values of x at which the graph cuts the x-axis.
  12. 9(b)(ii)4 marks· Mathematics Q9 9(b)(ii)Solve the equation g(x) = 0, writing your answer(s) correct to 2 decimal places.
  13. 9(b)(ii)1 mark· Mathematics Q9 9(b)(ii)Given that the area of the rectangle is 294 cm², determine the value of x.
  14. 9(b)(ii)4 marks· Mathematics Q9 9(b)(ii)Solve the equation for a.
  15. 9(b)(iii)3 marks· Mathematics Q9 9(b)(iii)Calculate, correct to one decimal place, the roots of the equation x^2 - 3x - 12 = 0.
  16. 9(b)(iii)9 marks· Mathematics Q9 9(b)(iii)Hence, calculate the value of x and state the length of AK and AM.
  17. 9(b)(iii)4 marks· Mathematics Q9 9(b)(iii)Solve the equation 3x^2 – 5x + 1 = 0 expressing your answer correct to two decimal places.
  18. 9(b)(iii)3 marks· Mathematics Q9 9(b)(iii)Determine the roots of 1 - 6x - x² = 0, giving your answers to 2 decimal places.
  19. 9(b)(iv)4 marks· Mathematics Q9 9(b)(iv)Calculate the values of x for which S = 30.25.
  20. 9(c)3 marks· Mathematics Q9 9(c)Find the values of x for which 5x² + 2x - 7 = 0.
  21. 9(c)(iii)4 marks· Mathematics Q9 9(c)(iii)Using your answer from (b) above, or otherwise, calculate the values of x for which 4x^2 - 12x - 3 = 0 expressing your answers to 3 significant figures.
  22. 9(d)3 marks· Mathematics Q9 9(d)Solve the equation 3x² + 8x - 25 = 0 giving your answers correct to one decimal place.

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