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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. Subtraction






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






3. This law states that the product of two or more factors is the same regardless of the order in which the factors are arranged. Negative signs require no special treatment in the application of this law.






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






5. Number symbols






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






7. Total






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






9. A number is divisible by 9 if






10. The set of all complex numbers is denoted by






11. A number is divisible by 6 if it is






12. 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






13. The Arabic numerals from 0 through 9 are called






14. Product






15. 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.)






16. The objects in a set have at least






17. 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.






18. A number is divisible by 4 if






19. One term (5x or 4)






20. A number is divisible by 8 if






21. A number is divisible by 2 if






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






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






24. More than one term (5x+4 contains two)






25. 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.






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






27. A curve in the plane






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






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. 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






31. Number X decreased by 12 divided by forty






32. Sixteen less than number Q






33. No short method has been found for determining whether a number is divisible by






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






35. 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.






36. 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






37. 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






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






39. More than






40. 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






41. A number is divisible by 3 if






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






43. 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.






44. 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






45. Number T increased by 9






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






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






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






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






50. 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