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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. If the same quantity is subtracted from each of two equal quantities - the resulting quantities are equal. If equals are subtracted from equals - the results are equal.






2. 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






3. Number T increased by 9






4. 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






5. Plus






6. Any number that is not a multiple of 2 is an






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






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






9. Total






10. This law combines the operations of addition and multiplication. The distribution of a common multiplier among the terms of an additive expression.






11. 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.






12. A number is divisible by 9 if






13. Product






14. Are used to indicate sets






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






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






17. 2 -3 -4 -5 -6






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






19. 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






20. Subtraction






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






22. The numbers which are used for counting in our number system are sometimes called






23. A curve in the plane






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






25. Decreased by






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






27. An equation - or system of equations - in two or more variables defines






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






29. A number is divisible by 2 if






30. The defining characteristic of a position vector is that it has






31. This law states that the sum of three or more addends is the same regardless of the manner in which they are grouped. suggests association or grouping.






32. 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.






33. The sum of two complex numbers A and B - interpreted as points of the complex plane - is the point X obtained by building a parallelogram three of whose vertices are O - A and B. Equivalently - X is the point such that the triangles with vertices O -






34. This law can be applied to subtraction by changing signs in such a way that all negative signs are treated as number signs rather than operational signs.That is - some of the addends can be negative numbers.






35. More than






36. A number is divisible by 3 if






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






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






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






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






41. Less than






42. 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.






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






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






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






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






47. A number is divisible by 8 if






48. 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.)






49. First axiom of equality






50. 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.