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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 number that has factors other than itself and 1 is a






2. 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.






3. 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.






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






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






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






7. Subtraction






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






9. 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






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






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






12. 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.






13. Number X decreased by 12 divided by forty






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






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






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






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






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






19. Plus






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






21. Studies algebraic properties and algebraic objects of interest in number theory. (Thus - analytic and algebraic number theory can and do overlap: the former is defined by its methods - the latter by its objects of study.) A key topic is that of the a






22. A number is divisible by 4 if






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






24. 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.






25. 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






26. These are emphasised in a complex number's polar form and it turns out notably that the operations of addition and multiplication take on a very natural geometric character when complex numbers are viewed as position vectors:






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. 2 -3 -4 -5 -6






29. 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.






30. Increased by






31. More than






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






33. 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.)






34. 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.






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






36. The base which is most commonly used is ten - and the system with ten as a base is called the decimal system (decem is the Latin word for ten). Any number is assumed - unless indicated - to be a






37. The set of all complex numbers is denoted by






38. 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.






39. Product






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






41. Total






42. The relative greatness of positive and negative numbers






43. A number is divisible by 9 if






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






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






46. 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.






47. 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.






48. A number is divisible by 3 if






49. A number is divisible by 5 if its






50. Sum