CSAT Suneung · CSAT Mathematics

Algebra and functions

17 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 17 questions

  1. What is the sum of the roots of x^2 - 5x + 6 = 0?
  2. What is the sum of the roots of x^2 - 8x + 15 = 0?
  3. What is the sum of the roots of x^2 - 5x + 4 = 0?
  4. What is the sum of the roots of x^2 - 7x + 10 = 0?
  5. What is the sum of the roots of x^2 - 9x + 14 = 0?
  6. What is the sum of the roots of x^2 - 7x + 12 = 0?
  7. What is the discriminant of x^2 - 6x + 5?
  8. What is the discriminant of x^2 + 4x + 3?
  9. What is the discriminant of 2x^2 - 8x + 6?
  10. What is the discriminant of x^2 - 2x - 8?
  11. For what range of values of k does x^2 + kx + 9 = 0 have two distinct real roots?
  12. The remainder when x^3 - 2x + 5 is divided by x - 2 is
  13. The polynomial x^3 + ax^2 - 4x + 4 is divisible by x - 2. What is a?
  14. Solve the inequality x^2 - 5x + 6 < 0.
  15. If f(x) = 2x + 1 and g(x) = x^2, what is f(g(3))?
  16. What is the inverse function of f(x) = 3x - 6?
  17. What is the value of the sum of 3 x (1/2)^(k-1) for k = 1 to infinity?

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