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. 3rd. Rule of Complex Arithmetic






2. y / r






3. 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






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






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






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






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






8. V(x² + y²) = |z|






9. 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.






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






11. 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






12. A + bi






13. A+bi






14. (2+i)(2i-3) you would use the foil methom which is first outter inner last. (2x2i)(2x-3)(ix2i^2)(ix(-3) =i-8






15. 1






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






17. The modulus of the complex number z= a + ib now can be interpreted as






18. The complex number z representing a+bi.






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






20. ½(e^(iz) + e^(-iz))






21. 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


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






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






24. 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






25. E ^ (z2 ln z1)






26. 2a






27. Multiply moduli and add arguments






28. 1






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






30. (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






31. 2ib






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






33. I






34. 2nd. Rule of Complex Arithmetic

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


35. No i






36. Root negative - has letter i






37. 1






38. V(zz*) = v(a² + b²)






39. All the powers of i can be written as






40. 5th. Rule of Complex Arithmetic






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






42. I^2 =






43. Divide moduli and subtract arguments






44. Real and imaginary numbers






45. 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






46. Not on the numberline






47. 1






48. Starts at 1 - does not include 0






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






50. When two complex numbers are multipiled together.







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