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






2. The field of all rational and irrational numbers.






3. Not on the numberline






4. Root negative - has letter i






5. V(x² + y²) = |z|






6. Multiply moduli and add arguments






7. y / r






8. A complex number and its conjugate






9. I^2 =






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






11. Equivalent to an Imaginary Unit.






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






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






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






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






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






17. Written as fractions - terminating + repeating decimals






18. A + bi






19. E^(ln r) e^(i?) e^(2pin)






20. 3






21. The field of numbers of the form - where and are real numbers and i is the imaginary unit equal to the square root of - . When a single letter is used to denote a complex number - it is sometimes called an 'affix.'






22. (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






23. A+bi






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






25. ½(e^(-y) +e^(y)) = cosh y






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






27. 1st. Rule of Complex Arithmetic






28. A plot of complex numbers as points.






29. Any number not rational






30. ? = -tan?






31. Derives z = a+bi






32. 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.






33. 2ib






34. Where the curvature of the graph changes






35. 4th. Rule of Complex Arithmetic






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






37. 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






38. 1






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






40. A² + b² - real and non negative






41. 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






42. When two complex numbers are added together.






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






44. 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


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






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






47. Divide moduli and subtract arguments






48. When two complex numbers are divided.






49. x / r






50. All the powers of i can be written as