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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. 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.






2. 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.






3. The central problem of Diophantine geometry is to determine when a Diophantine equation has






4. Product






5. 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






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






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






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






9. Sixteen less than number Q






10. 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






11. LAWS FOR COMBINING NUMBERS






12. 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 -






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






14. A number is divisible by 5 if its






15. The objects in a set have at least






16. A number is divisible by 9 if






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






18. Number X decreased by 12 divided by forty






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






20. 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.






21. 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






22. Increased by






23. 2 -3 -4 -5 -6






24. Sum






25. A number is divisible by 8 if






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






27. Remainder






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






29. A number is divisible by 3 if






30. Plus






31. Are often studied as extensions of smaller number fields: a field L is said to be an extension of a field K if L contains K. (For example - the complex numbers C are an extension of the reals R - and the reals R are an extension of the rationals Q.)






32. 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.






33. 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.






34. 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.






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






36. 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.






37. 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.






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






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






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






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






42. This law can be applied to subtraction by changing signs in such a way that all negative signs are treated as number signs rather than operational signs.That is - some of the addends can be negative numbers.






43. Are used to indicate sets






44. As shown earlier - c - di is the complex conjugate of the denominator c + di.






45. The Arabic numerals from 0 through 9 are called






46. The set of all complex numbers is denoted by






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






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






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






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