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






2. Rotates anticlockwise by p/2






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






4. Multiply moduli and add arguments






5. The field of all rational and irrational numbers.






6. x / r






7. (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






8. 1st. Rule of Complex Arithmetic






9. (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






10. Starts at 1 - does not include 0






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






12. All numbers






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






14. (2-3i)-(4+6i)you would distribute the negitive and combine your like terms and your answer is -2-9i






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






16. To simplify a complex fraction






17. A plot of complex numbers as points.






18. V(zz*) = v(a² + b²)






19. z1z2* / |z2|²






20. Any number not rational






21. A subset within a field.






22. 2a






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






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






25. The reals are just the






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






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






28. 1






29. Numbers on a numberline






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






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






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






33. V(x² + y²) = |z|






34. The complex number z representing a+bi.






35. The square root of -1.






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






37. R?¹(cos? - isin?)






38. To simplify the square root of a negative number






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. 3






41. 2nd. Rule of Complex Arithmetic

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


42. y / r






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






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






45. 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.






46. I






47. 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






48. A + bi






49. 2ib






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