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






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






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






4. 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.






5. Begin by taking out the smallest factor If the number is even - take out all the 2's first - then try 3 as a factor






6. 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






7. Is any complex number that is a solution to some polynomial equation with rational coefficients; for example - every solution x of (say) is an algebraic number. Fields of algebraic numbers are also called algebraic number fields - or shortly number f






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






9. The objects in a set have at least






10. Are used to indicate sets






11. Product






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






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






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






15. 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.






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






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






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






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






20. 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.






21. A number is divisible by 2 if






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






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






24. Is a number that can be expressed in the form where a and b are real numbers and i is the imaginary unit - satisfying i2 = -1. For example - -3.5 + 2i is a complex number. It is common to write a for a + 0i and bi for 0 + bi. Moreover - when the imag






25. One term (5x or 4)






26. Sixteen less than number Q






27. A form of coding in which the value of each digit of a number depends upon its position in relation to the other digits of the number. The convention used in our number system is that each digit has a higher place value than those digits to the right






28. A number is divisible by 4 if






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






30. The relative greatness of positive and negative numbers






31. Less than






32. 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.






33. 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.






34. 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






35. The number touching the variable (in the case of 5x - would be 5)






36. A number is divisible by 8 if






37. Sum






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






39. Number X decreased by 12 divided by forty






40. A number is divisible by 9 if






41. Decreased by






42. 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






43. Consists of all numbers of the form - where a and b are rational numbers and d is a fixed rational number whose square root is not rational.






44. 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.






45. The complex conjugate of the complex number z = x + yi is defined to be x - yi. It is denoted or . Geometrically - is the

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46. 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






47. Quotient






48. The set of all complex numbers is denoted by






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






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