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CLEP General Mathematics: Number Systems And Sets

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. A curve in the plane






2. Number X decreased by 12 divided by forty






3. The greatest of 3 consecutive whole numbers - the smallest of which is F






4. Are not necessary. That is - the elements of {2 - 2 - 3 - 4} are simply {2 - 3 - and 4}






5. The complex conjugate of the complex number z = x + yi is defined to be x - yi. It is denoted or . Geometrically - is the

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6. Any number that la a multiple of 2 is an






7. The real and imaginary parts of a complex number can be extracted using the conjugate:






8. Quotient






9. Work on the problem of general polynomials ultimately led to the fundamental theorem of algebra -






10. This law can be applied to subtraction by changing signs so that all negative signs become number signs and all signs of operation are positive.






11. Viewed in this way the multiplication of a complex number by i corresponds to rotating a complex number






12. The square roots of a + bi (with b ? 0) are - where and where sgn is the signum function. This can be seen by squaring to obtain a + bi.






13. The number touching the variable (in the case of 5x - would be 5)






14. Number symbols






15. Has an equal sign (3x+5 = 14)






16. A number that has factors other than itself and 1 is a






17. This formula can be used to compute the multiplicative inverse of a complex number if it is given in






18. A number is divisible by 8 if






19. The number of digits in an integer indicates its rank; that is - whether it is 'in the hundreds -' 'in the thousands -' etc. The idea of ranking numbers in terms of tens - hundreds - thousands - etc. - is based on the






20. If two equal quantities are divided by the same quantity - the resulting quotients are equal. If equals are divided by equals - the results are equal.






21. This law states that the product of three or more factors is the same regardless of the manner in which they are grouped. Negative signs require no special treatment in the application of this law.






22. The Arabic numerals from 0 through 9 are called






23. More than






24. Integers greater than zero and less than 5 form a set - as follows:






25. If two equal quantities are multiplied by the same quantity - the resulting products are equal. If equals are multiplied by equals - the products are equal.






26. The number without a variable (5m+2). In this case - 2






27. A form of coding in which the value of each digit of a number depends upon its position in relation to the other digits of the number. The convention used in our number system is that each digit has a higher place value than those digits to the right






28. Number T increased by 9






29. Decreased by






30. LAWS FOR COMBINING NUMBERS






31. Subtraction






32. Product of 16 and the sum of 5 and number R






33. The objects in a set have at least






34. In the Rectangular Coordinate System - On the vertical line - direction ________ is positive






35. In the Rectangular Coordinate System - the direction to the right along the horizontal line is






36. Product






37. A number is divisible by 9 if






38. Are often studied as extensions of smaller number fields: a field L is said to be an extension of a field K if L contains K. (For example - the complex numbers C are an extension of the reals R - and the reals R are an extension of the rationals Q.)






39. Total






40. A number is divisible by 5 if its






41. 2 -3 -4 -5 -6






42. A number is divisible by 2 if






43. Begin by taking out the smallest factor If the number is even - take out all the 2's first - then try 3 as a factor






44. Consists of all numbers of the form - where a and b are rational numbers and d is a fixed rational number whose square root is not rational.






45. A letter tat represents a number that is unknown (usually X or Y)






46. Any number that is exactly divisible by a given number is a






47. A branch of geometry studying more general reflections than ones about a line - can also be expressed in terms of complex numbers.






48. Sum






49. If z is a real number (i.e. - y = 0) - then r = |x|. In general - by Pythagoras' theorem - r is the distance of the point P representing the complex number z to the origin.






50. Remainder