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. 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


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






3. ½(e^(-y) +e^(y)) = cosh y






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






5. When two complex numbers are divided.






6. Where the curvature of the graph changes






7. 5th. Rule of Complex Arithmetic






8. 1






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






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






11. V(x² + y²) = |z|






12. Any number not rational






13. V(zz*) = v(a² + b²)






14. 2ib






15. No i






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






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






18. 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


19. Rotates anticlockwise by p/2






20. All the powers of i can be written as






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






22. The square root of -1.






23. Real and imaginary numbers






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






25. To simplify the square root of a negative number






26. A² + b² - real and non negative






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






28. 3rd. Rule of Complex Arithmetic






29. 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






30. 1






31. Have radical






32. ½(e^(iz) + e^(-iz))






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






34. I






35. (2-3i)-(4+6i)you would distribute the negitive and combine your like terms and your answer is -2-9i






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






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






38. 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






39. 1






40. 2nd. Rule of Complex Arithmetic

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


41. A + bi






42. 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.






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






44. R^2 = x






45. 1






46. Imaginary number

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


47. When two complex numbers are multipiled together.






48. Derives z = a+bi






49. 1






50. 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






Can you answer 50 questions in 15 minutes?



Let me suggest you:

Browse all subjects

Browse all tests

Most popular tests



Major Subjects

Tests & Exams


AP
CLEP
DSST
GRE
SAT
GMAT

Browse all subjects

Browse all tests

Most popular tests