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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. 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.






2. Decreased by






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






4. 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 -






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






7. Sixteen less than number Q






8. 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






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






10. The objects in a set have at least






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. A number is divisible by 6 if it is






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






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






15. The Arabic numerals from 0 through 9 are called






16. 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






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






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






19. Total






20. 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






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






22. 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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23. 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






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






25. 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.






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






27. A number is divisible by 8 if






28. More than






29. A number is divisible by 9 if






30. 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






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






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






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






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






35. Subtraction






36. Less than






37. 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.






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






39. Are used to indicate sets






40. 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






41. 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.






42. One term (5x or 4)






43. LAWS FOR COMBINING NUMBERS






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






45. A number is divisible by 2 if






46. 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.






47. 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.






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






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






50. Does not have an equal sign (3x+5) (2a+9b)