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CLEP General Mathematics: Number Systems And Sets

Subjects : clep, math
Instructions:
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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. Product






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. Increased by






4. 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.






5. 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






6. 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.






7. Quotient






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






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






10. 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






11. 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






12. 2 -3 -4 -5 -6






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






14. 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.






15. Addition of two complex numbers can be done geometrically by






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






17. Are used to indicate sets






18. The objects in a set have at least






19. More than






20. Implies a collection or grouping of similar - objects or symbols.






21. As the horizontal component - and imaginary part as vertical These two values used to identify a given complex number are therefore called its Cartesian - rectangular - or algebraic form.






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






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






24. Sixteen less than number Q






25. 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






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






27. 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.






28. A number is divisible by 5 if its






29. 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.






30. Number T increased by 9






31. 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






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






33. A curve in the plane






34. A number is divisible by 6 if it is






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






36. The set of all complex numbers is denoted by






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






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






39. 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.






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






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






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






43. A number that has no factors except itself and 1 is a






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






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






46. 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






47. 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.)






48. The relative greatness of positive and negative numbers






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






50. Total







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