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






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






3. 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






4. LAWS FOR COMBINING NUMBERS






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






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






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






8. 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.






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. 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.






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






12. 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






13. 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.






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






15. A number is divisible by 9 if






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






17. Number X decreased by 12 divided by forty






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






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






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






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






22. Number symbols






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






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






25. 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






26. Remainder






27. A number is divisible by 2 if






28. The relative greatness of positive and negative numbers






29. 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.






30. 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.)






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






32. A number is divisible by 3 if






33. The smallest of four sonsecutive whole numbers - the biggest of which is K+6






34. 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






35. The objects in a set have at least






36. 2 -3 -4 -5 -6






37. A number is divisible by 6 if it is






38. 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 -






39. Any number that is exactly divisible by a given number is a






40. A curve in the plane






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. 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.






43. Plus






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






45. 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.






46. A number is divisible by 5 if its






47. 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






48. Decreased by






49. 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






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