Test your basic knowledge |

CLEP General Mathematics: Complex Numbers

Subjects : clep, math
Instructions:
  • Answer 50 questions in 15 minutes.
  • If you are not ready to take this test, you can study here.
  • Match each statement with the correct term.
  • Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. A + bi






2. V(x² + y²) = |z|






3. A subset within a field.






4. (2-3i)-(4+6i)you would distribute the negitive and combine your like terms and your answer is -2-9i






5. Starts at 1 - does not include 0






6. (e^(iz) - e^(-iz)) / 2i






7. 3rd. Rule of Complex Arithmetic






8. I






9. When two complex numbers are multipiled together.






10. Cos n? + i sin n? (for all n integers)






11. When you add two complex numbers a + bi and c + di - you get the sum of the real parts and the sum of the imaginary parts: (a + bi) + (c + di) = (a + c) + (b + d)i






12. z1z2* / |z2|²






13. If z= a+bi is a complex number and a and b are real - we say that a is the real part of z and that b is the imaginary part of z






14. ½(e^(-y) +e^(y)) = cosh y






15. When you multiply two complex numbers a + bi and c + di FOIL the terms: (a + bi)(c + di) = (ac - bd) + (ad + bc)i






16. (a + bi)(c + bi) =






17. Imaginary number

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


18. 1






19. R^2 = x






20. I^26/4= i^24 x i^2 =-1 so u divide the number by 4 and whatevers left over is the number that its equal to.






21. Has exactly n roots by the fundamental theorem of algebra






22. We consider the a real number x to be the complex number x+ 0i and in this way we can think of the real numbers as a subset of






23. 2ib






24. zn = (cos? + isin?)n = cosn? + isinn? - For all integers n

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


25. Given (4-2i) the complex conjugate would be (4+2i)






26. In the same way that we think of real numbers as being points on a line - it is natural to identify a complex number z=a+ib with the point (a -b) in the cartesian plane.






27. Like pi






28. A number that cannot be expressed as a fraction for any integer.






29. Divide moduli and subtract arguments






30. Has the opposite sign of a complex number; the conjugate of a + bi is a - bi






31. 1






32. Any number not rational






33. ? = -tan?






34. x + iy = r(cos? + isin?) = re^(i?)






35. The reals are just the






36. E^(i?) = cos? + isin? ; e^(ip) + 1 = 0

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


37. (2i+3)/(9-i)for the denominator you multiply by the conjugate and what u do to the bottom u have to do to the top then you distribute the bottom then the top then add like terms then you simplify. 21i+25/17






38. Rotates anticlockwise by p/2






39. (a + bi) = (c + bi) =






40. In this amazing number field every algebraic equation in z with complex coefficients






41. A plot of complex numbers as points.






42. 5th. Rule of Complex Arithmetic






43. ½(e^(iz) + e^(-iz))






44. 1






45. Not on the numberline






46. The complex number z representing a+bi.






47. We can also think of the point z= a+ ib as






48. Root negative - has letter i






49. Numbers on a numberline






50. Where the curvature of the graph changes