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. Divide moduli and subtract arguments






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






3. Derives z = a+bi






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






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






6. ½(e^(iz) + e^(-iz))






7. 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


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






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






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






11. Where the curvature of the graph changes






12. R?¹(cos? - isin?)






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






14. To simplify the square root of a negative number






15. When two complex numbers are divided.






16. All numbers






17. The complex number z representing a+bi.






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






19. z1z2* / |z2|²






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






21. (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






22. A + bi






23. All the powers of i can be written as






24. 1






25. Notice that rules 4 and 5 state that we complex numbers together - we can divide by c + di if c and d are not both zero. But there is a much easier way to do division.

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


26. R^2 = x






27. A subset within a field.






28. A² + b² - real and non negative






29. I






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






31. I






32. 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






33. Written as fractions - terminating + repeating decimals






34. ? = -tan?






35. Multiply moduli and add arguments






36. 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






37. Numbers on a numberline






38. 2a






39. 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


40. ½(e^(-y) +e^(y)) = cosh y






41. A plot of complex numbers as points.






42. I^2 =






43. No i






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






45. To simplify a complex fraction






46. (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






47. 1






48. V(zz*) = v(a² + b²)






49. Any number not rational






50. 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