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






2. 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.






3. 2 -3 -4 -5 -6






4. 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






5. 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.






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






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






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






9. Sum






10. 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.






11. Plus






12. Remainder






13. A number is divisible by 5 if its






14. 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.






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. Number symbols






17. First axiom of equality






18. G - E - M - A Grouping - Exponents - Multiply/Divide - Add/Subtract






19. Sixteen less than number Q






20. Product






21. 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.






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






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






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






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






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






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






28. 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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29. The sum of two complex numbers A and B - interpreted as points of the complex plane - is the point X obtained by building a parallelogram three of whose vertices are O - A and B. Equivalently - X is the point such that the triangles with vertices O -






30. 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






31. The objects or symbols in a set are called Numerals - Lines - or Points






32. More than






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






34. Total






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






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






37. This law combines the operations of addition and multiplication. The distribution of a common multiplier among the terms of an additive expression.






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






39. A number is divisible by 4 if






40. Number T increased by 9






41. 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






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






43. 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






44. 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






45. A number is divisible by 6 if it is






46. Subtraction






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






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






49. 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.






50. 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







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