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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. 2a






2. A² + b² - real and non negative






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






4. 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






5. A subset within a field.






6. Not on the numberline






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






8. The complex number z representing a+bi.






9. When two complex numbers are divided.






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






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






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






13. Like pi






14. ½(e^(iz) + e^(-iz))






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






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






17. To simplify the square root of a negative number






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






19. I






20. 1






21. E ^ (z2 ln z1)






22. Starts at 1 - does not include 0






23. Rotates anticlockwise by p/2






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






25. 3






26. I^2 =






27. 5th. Rule of Complex Arithmetic






28. I






29. E^(i?) = cos? + isin? ; e^(ip) + 1 = 0

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






31. Real and imaginary numbers






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






33. (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






34. Where the curvature of the graph changes






35. The square root of -1.






36. All numbers






37. V(x² + y²) = |z|






38. 1






39. A number that can be expressed as a fraction p/q where q is not equal to 0.






40. 3rd. Rule of Complex Arithmetic






41. A plot of complex numbers as points.






42. A complex number and its conjugate






43. 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






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






45. In the same way that we think of real numbers as being points on a line - it is natural to identify a complex number z=a+ib with the point (a -b) in the cartesian plane.






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






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






48. V(zz*) = v(a² + b²)






49. Divide moduli and subtract arguments






50. We consider the a real number x to be the complex number x+ 0i and in this way we can think of the real numbers as a subset of