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






2. V(x² + y²) = |z|






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






4. y / r






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






6. Every complex number has the 'Standard Form':






7. To prove that number field every algebraic equation in z with complex coefficients has a solution we need

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


8. A² + b² - real and non negative






9. Multiply moduli and add arguments






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






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






12. All numbers






13. Where the curvature of the graph changes






14. The field of all rational and irrational numbers.






15. 1






16. 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






17. When two complex numbers are divided.






18. ½(e^(iz) + e^(-iz))






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






20. 1st. Rule of Complex Arithmetic






21. 3






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






23. A plot of complex numbers as points.






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






25. E ^ (z2 ln z1)






26. Real and imaginary numbers






27. 2nd. Rule of Complex Arithmetic

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


28. 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.'






29. Imaginary number

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


30. 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






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






32. I






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. The reals are just the






35. A+bi






36. R?¹(cos? - isin?)






37. 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






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






39. The complex number z representing a+bi.






40. No i






41. x / r






42. 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


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






44. Divide moduli and subtract arguments






45. When two complex numbers are multipiled together.






46. 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.






47. A + bi






48. Like pi






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






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







Sorry!:) No result found.

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