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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. 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.






2. 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






3. 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.






4. Are used to indicate sets






5. 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






6. Number T increased by 9






7. 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.






8. The place value which corresponds to a given position in a number is determined by the






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






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






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






12. Remainder






13. LAWS FOR COMBINING NUMBERS






14. A curve in the plane






15. One term (5x or 4)






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






17. Total






18. 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.






19. 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.






20. 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






21. Product






22. 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






23. The relative greatness of positive and negative numbers






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






25. The Arabic numerals from 0 through 9 are called






26. Increased by






27. A number is divisible by 8 if






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






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






30. 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.






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






32. 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






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






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. Subtraction






36. 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






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






38. A number is divisible by 3 if






39. 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.






40. A number is divisible by 2 if






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






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






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






44. 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.






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






46. The set of all complex numbers is denoted by






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. 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.






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






50. 2 -3 -4 -5 -6