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. V(zz*) = v(a² + b²)






2. 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


3. A complex number and its conjugate






4. Starts at 1 - does not include 0






5. Not on the numberline






6. Any set of elements that satisfies the field axioms for both addition and multiplication and is a commutative division algebra.






7. Numbers on a numberline






8. Have radical






9. When two complex numbers are subtracted from one another.






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






11. 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


12. 1






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






14. E^(ln r) e^(i?) e^(2pin)






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






16. (e^(-y) - e^(y)) / 2i = i sinh y






17. Divide moduli and subtract arguments






18. 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.






19. I = imaginary unit - i² = -1 or i = v-1






20. E ^ (z2 ln z1)






21. Complex Plane = i - Use the distance formula to determine the point's distance from zero - or - the absolute value.






22. R?¹(cos? - isin?)






23. The product of an imaginary number and its conjugate is






24. A + bi






25. Multiply moduli and add arguments






26. ? = -tan?






27. Derives z = a+bi






28. Equivalent to an Imaginary Unit.






29. What about dividing one complex number by another? Is the result another complex number? Let's ask the question in another way. If you are given four real numbers a -b -c and d - can you find two other real numbers x and y so that






30. 5th. Rule of Complex Arithmetic






31. Like pi






32. A plot of complex numbers as points.






33. Notice that rules 4 and 5 state that we complex numbers together - we can divide by c + di if c and d are not both zero. But there is a much easier way to do division.

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


34. 1






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






36. 1






37. The square root of -1.






38. I






39. A number that can be expressed as a fraction p/q where q is not equal to 0.






40. I






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






42. 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






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






44. Solutions to zn = 1 - |z| = 1 - z = e^(i?) - e^(in?) = 1






45. When two complex numbers are multipiled together.






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






47. Any number not rational






48. The field of numbers of the form - where and are real numbers and i is the imaginary unit equal to the square root of - . When a single letter is used to denote a complex number - it is sometimes called an 'affix.'






49. Root negative - has letter i






50. y / r






Can you answer 50 questions in 15 minutes?



Let me suggest you:



Major Subjects



Tests & Exams


AP
CLEP
DSST
GRE
SAT
GMAT

Most popular tests