Bagrut (Secondary School Matriculation) · Mathematics

Algebra and complex numbers

23 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 23 questions

  1. What is the modulus of the complex number z = 2 + 2i?
  2. What is the sum of the squares of the roots of x^2 - 3x - 4 = 0?
  3. Solve e^x = 3.
  4. What is the remainder when 2x^3 + 2x^2 + 5x + 2 is divided by (x - 2)?
  5. What is the sum of the roots of 3x^2 + 9x + 4 = 0?
  6. What is the sum of the squares of the roots of x^2 - 3x - 10 = 0?
  7. Solve ln(x + 1) = 3.
  8. What is the remainder when x^3 + 2x^2 + 3x + 2 is divided by (x - 1)?
  9. If z1 = 1 + i and z2 = 1 + 2i, what is z1 * z2?
  10. What is the sum of the squares of the roots of x^2 + 2x - 8 = 0?
  11. What is the remainder when x^3 - x^2 + 3x - 4 is divided by (x + 1)?
  12. What is the sum of the roots of 2x^2 - 8x + 5 = 0?
  13. If z = 6 + 8i, what is z times its conjugate?
  14. What is the sum of the squares of the roots of x^2 + 2x - 3 = 0?
  15. If log2(x) = 2 and log2(y) = 3, what is log2(x*y^2)?
  16. What is the remainder when x^3 + 4x^2 + 5x - 4 is divided by (x + 1)?
  17. What is the sum of the roots of x^2 - 5x + 6 = 0?
  18. Solve e^x = 7.
  19. What is the remainder when 2x^3 - x^2 + 3x + 6 is divided by (x - 1)?
  20. If log2(x) = 2 and log2(y) = 5, what is log2(x*y^2)?
  21. What is the remainder when 2x^3 - x^2 + 5x + 2 is divided by (x - 1)?
  22. If z1 = 1 + i and z2 = 2 - i, what is z1 * z2?
  23. Solve ln(x + 1) = 2.

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