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






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






3. z1z2* / |z2|²






4. 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






5. 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.






6. Starts at 1 - does not include 0






7. (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






8. 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






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






10. 1






11. Numbers on a numberline






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






13. When two complex numbers are divided.






14. Like pi






15. Not on the numberline






16. I^2 =






17. R?¹(cos? - isin?)






18. A complex number may be taken to the power of another complex number.






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






20. 3rd. Rule of Complex Arithmetic






21. 2ib






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






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






24. ½(e^(iz) + e^(-iz))






25. 1






26. A subset within a field.






27. The field of all rational and irrational numbers.






28. ½(e^(-y) +e^(y)) = cosh y






29. 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






30. Multiply moduli and add arguments






31. R^2 = x






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






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






34. To simplify a complex fraction






35. To simplify the square root of a negative number






36. 2nd. Rule of Complex Arithmetic

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


37. 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


38. 3






39. It is an amazing fact that by adjoining the imaginary unit i to the real numbers we obtain a complete number field called






40. A complex number and its conjugate






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






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






43. Root negative - has letter i






44. All the powers of i can be written as






45. E ^ (z2 ln z1)






46. Any number not rational






47. xpressions such as ``the complex number z'' - and ``the point z'' are now






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






49. When two complex numbers are multipiled together.






50. 1







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