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






2. 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.






3. Number symbols






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






5. The central problem of Diophantine geometry is to determine when a Diophantine equation has






6. 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






7. G - E - M - A Grouping - Exponents - Multiply/Divide - Add/Subtract






8. In terms of its tools - as the study of the integers by means of tools from real and complex analysis - in terms of its concerns - as the study within number theory of estimates on size and density - as opposed to identities.






9. A number is divisible by 3 if






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






11. One asks whether there are any rational points (points all of whose coordinates are rationals) or integral points (points all of whose coordinates are integers) on the curve or surface. If there are any such points - the next step is to ask how many






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






13. 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.)






14. Allow the variables in f(x -y) = 0 to be complex numbers; then f(x -y) = 0 defines a 2-dimensional surface in (projective) 4-dimensional space (since two complex variables can be decomposed into four real variables - i.e. - four dimensions). Count th






15. The smallest of four sonsecutive whole numbers - the biggest of which is K+6






16. As shown earlier - c - di is the complex conjugate of the denominator c + di.






17. The finiteness or not of the number of rational or integer points on an algebraic curve






18. Subtraction






19. Number T increased by 9






20. 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.






21. A number is divisible by 2 if






22. Any number that can be divided lnto a given number without a remainder is a






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






24. Number X decreased by 12 divided by forty






25. The objects or symbols in a set are called Numerals - Lines - or Points






26. In the Rectangular Coordinate System - the direction to the left along the horizontal line is






27. First axiom of equality






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






29. If a factor of a number is prime - it is called a






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






31. In the Rectangular Coordinate System - On the vertical line - direction _______ is negative






32. Are used to indicate sets






33. 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.






34. LAWS FOR COMBINING NUMBERS






35. Less than






36. Product






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






38. Does not have an equal sign (3x+5) (2a+9b)






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






40. Sum






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






42. 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.






43. The place value which corresponds to a given position in a number is determined by the






44. This law states that the sum of two or more addends is the same regardless of the order in which they are arranged. Means to change - substitute or move from place to place.






45. Is called the real part of z - and the real number b is often called the imaginary part. By this convention the imaginary part is a real number - not including the imaginary unit: hence b - not bi - is the imaginary part. (Others - however call bi th






46. Another way of encoding points in the complex plane other than using the x- and y-coordinates is to use the distance of a point P to O - the point whose coordinates are (0 - 0) (the origin) - and the angle of the line through P and O. This idea leads






47. Quotient






48. Since the elements of the set {2 - 4 - e} are the same as the elements of{4 - 2 - e} - these two sets are said to be






49. Remainder






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