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CLEP General Mathematics: Complex Numbers

Subjects : clep, math
Instructions:
  • Answer 50 questions in 15 minutes.
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  • 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. Written as fractions - terminating + repeating decimals






2. 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






3. Divide moduli and subtract arguments






4. 1st. Rule of Complex Arithmetic






5. The complex number z representing a+bi.






6. To prove that number field every algebraic equation in z with complex coefficients has a solution we need

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7. (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






8. E ^ (z2 ln z1)






9. 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






10. zn = (cos? + isin?)n = cosn? + isinn? - For all integers n

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11. 2ib






12. (2-3i)-(4+6i)you would distribute the negitive and combine your like terms and your answer is -2-9i






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






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






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






16. A number that cannot be expressed as a fraction for any integer.






17. I






18. I^2 =






19. y / r






20. Numbers on a numberline






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






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






23. 2nd. Rule of Complex Arithmetic

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






25. 3rd. Rule of Complex Arithmetic






26. V(x² + y²) = |z|






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






28. Derives z = a+bi






29. A + bi






30. To simplify the square root of a negative number






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






32. z1z2* / |z2|²






33. Rotates anticlockwise by p/2






34. The reals are just the






35. Starts at 1 - does not include 0






36. 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.'






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






38. Where the curvature of the graph changes






39. 1






40. x / r






41. 1






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

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






44. (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






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






46. 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






47. A subset within a field.






48. Like pi






49. 1






50. Imaginary number

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