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






2. LAWS FOR COMBINING NUMBERS






3. 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.)






4. Number X decreased by 12 divided by forty






5. In particular - the square of the imaginary unit is -1: The preceding definition of multiplication of general complex numbers follows naturally from this fundamental property of the imaginary unit. Indeed - if i is treated as a number so that di mean






6. 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.






7. Plus






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






9. Less than






10. 2 -3 -4 -5 -6






11. The objects in a set have at least






12. A number is divisible by 4 if






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






14. The set of all complex numbers is denoted by






15. Subtraction






16. Remainder






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






18. The number without a variable (5m+2). In this case - 2






19. A number is divisible by 2 if






20. 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






21. More than






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. Another way of encoding points in the complex plane other than using the x- and y-coordinates is to use the distance of a point P to O - the point whose coordinates are (0 - 0) (the origin) - and the angle of the line through P and O. This idea leads






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






25. 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.






26. Are used to indicate sets






27. A curve in the plane






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






29. The Arabic numerals from 0 through 9 are called






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






31. 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.






32. 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.






33. Allow for solutions to certain equations that have no real solution: the equation has no real solution - since the square of a real number is 0 or positive.






34. 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.






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






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






37. Number T increased by 9






38. 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






39. 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.






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






41. A number is divisible by 9 if






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






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






44. Total






45. The relative greatness of positive and negative numbers






46. 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.






47. 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






48. 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






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






50. 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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