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






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






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






4. 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






5. 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.






6. 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






7. A number is divisible by 5 if its






8. Plus






9. 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






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






11. A curve in the plane






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






14. The objects in a set have at least






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






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






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






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






19. 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.






20. LAWS FOR COMBINING NUMBERS






21. 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.






22. Are used to indicate sets






23. More than






24. A number is divisible by 8 if






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






26. 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.






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






28. Total






29. The defining characteristic of a position vector is that it has






30. Increased by






31. One term (5x or 4)






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






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






34. Quotient






35. Number T increased by 9






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






37. Sum






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






39. A number is divisible by 6 if it is






40. 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






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






42. A number is divisible by 3 if






43. 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






44. First axiom of equality






45. Product






46. 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.






47. 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






48. 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






49. 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 -






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