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






2. A curve in the plane






3. A number is divisible by 3 if






4. Sixteen less than number Q






5. Number X decreased by 12 divided by forty






6. A number is divisible by 6 if it is






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






8. 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.






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






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






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






12. 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.






13. 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.)






14. 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.






15. 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






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






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






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






19. A number is divisible by 8 if






20. 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.






21. 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






22. 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.






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






24. More than






25. 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






26. LAWS FOR COMBINING NUMBERS






27. A number is divisible by 4 if






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






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






30. Are used to indicate sets






31. The Arabic numerals from 0 through 9 are called






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






33. 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.






34. 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






35. Sum






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






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






38. Quotient






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






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






41. 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.






42. A number is divisible by 2 if






43. In the Rectangular Coordinate System - the direction to the left along the horizontal line is






44. 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






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






46. Product






47. Less than






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






49. Number T increased by 9






50. 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: