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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. One term (5x or 4)






2. 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.






3. 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.






4. 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






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






6. Quotient






7. 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.






8. Sixteen less than number Q






9. Are used to indicate sets






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






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






12. 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






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






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






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






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






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






19. 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.






20. More than






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






22. The Arabic numerals from 0 through 9 are called






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






24. Remainder






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






26. 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.






27. 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






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






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






30. Number T increased by 9






31. Less than






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






33. No short method has been found for determining whether a number is divisible by






34. Product






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






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






37. 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.






38. 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.






39. Total






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






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






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






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






45. 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.






46. 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.






47. A number is divisible by 9 if






48. Number X decreased by 12 divided by forty






49. 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.






50. 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.)