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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. LAWS FOR COMBINING NUMBERS






2. The relative greatness of positive and negative numbers






3. Increased by






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






5. 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.






6. Less than






7. The objects in a set have at least






8. A curve in the plane






9. Are used to indicate sets






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






11. 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.






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






13. 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.






14. A number is divisible by 6 if it is






15. Subtraction






16. First axiom of equality






17. 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.






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






19. 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.






20. 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.






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






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






23. 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.






24. 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






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






26. 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






27. Number T increased by 9






28. 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.






29. The set of all complex numbers is denoted by






30. Any number that la a multiple of 2 is an






31. Remainder






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






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






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






35. A number is divisible by 3 if






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






37. 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.






38. Number X decreased by 12 divided by forty






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






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






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






42. 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:






43. 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






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






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






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






47. Allow the variables in f(x -y) = 0 to be complex numbers; then f(x -y) = 0 defines a 2-dimensional surface in (projective) 4-dimensional space (since two complex variables can be decomposed into four real variables - i.e. - four dimensions). Count th






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






49. Total






50. Number symbols