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. The field of all rational and irrational numbers.






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






3. 1






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






5. 1






6. Multiply moduli and add arguments






7. Have radical






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






9. The reals are just the






10. Derives z = a+bi






11. 2ib






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






13. Ln(r e^(i?)) = ln r + i(? + 2pn) - for all integers n






14. ? = -tan?






15. I






16. 5th. Rule of Complex Arithmetic






17. A plot of complex numbers as points.






18. Numbers on a numberline






19. All numbers






20. 1. i^2 = -1 2. Every complex number has the 'Standard Form': a + bi for some real a and b. 3. For real a and b - a + bi = 0 if and only if a = b = 0 4. (a + bi) = (c + bi) = (a + c) + ( b + d)i 5. (a + bi)(c + bi) = ac + bci + adi + bdi^2 =(ac - bc






21. Root negative - has letter i






22. We see in this way that the distance between two points z and w in the complex plane is






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






24. One of the numbers ... --2 --1 - 0 - 1 - 2 - ....






25. Rotates anticlockwise by p/2






26. A subset within a field.






27. Where the curvature of the graph changes






28. Any number not rational






29. x / r






30. 1st. Rule of Complex Arithmetic






31. 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


32. 2a






33. A + bi = z1 c + di = z2 - addition: z1 + z2 = (a + bi) + (c + di) = (a + c) + (b + d)i subtraction: z1 - z2 = (a - c) + (b - d)i






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






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






36. 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.






37. Formula: z1 · z2 = (a + bi)(c + di) = ac +adi +cbi +bdi² = (ac - bd) + (ad +cb)i - when you multiply a complex number by its conjugate - you get a real number.






38. To simplify a complex fraction






39. 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






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






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






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






43. R^2 = x






44. ½(e^(iz) + e^(-iz))






45. No i






46. For real a and b - a + bi =






47. When two complex numbers are multipiled together.






48. Equivalent to an Imaginary Unit.






49. The square root of -1.






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






Can you answer 50 questions in 15 minutes?



Let me suggest you:

Browse all subjects

Browse all tests

Most popular tests



Major Subjects

Tests & Exams


AP
CLEP
DSST
GRE
SAT
GMAT

Browse all subjects

Browse all tests

Most popular tests