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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. 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






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






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






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






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






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






7. 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.






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






9. Sixteen less than number Q






10. One term (5x or 4)






11. 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:






12. 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.






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






14. 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.






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






16. First axiom of equality






17. 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.






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






19. A number is divisible by 9 if






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. 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.






22. A number is divisible by 2 if






23. 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






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






25. 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 -






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






27. 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






28. 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






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






30. The objects in a set have at least






31. 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






32. 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






33. Number T increased by 9






34. LAWS FOR COMBINING NUMBERS






35. Number symbols






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






37. Total






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






39. Number X decreased by 12 divided by forty






40. More than






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






42. The set of all complex numbers is denoted by






43. 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.






44. 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.






45. 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.






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






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






48. Remainder






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






50. Are used to indicate sets







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