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CLEP General Mathematics: Number Systems And Sets

Subjects : clep, math
Instructions:
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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 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.






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






3. Number X decreased by 12 divided by forty






4. A number is divisible by 4 if






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






6. The Arabic numerals from 0 through 9 are called






7. 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.)






8. 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.






9. 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.






10. 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.






11. LAWS FOR COMBINING NUMBERS






12. A number is divisible by 2 if






13. Are used to indicate sets






14. A number is divisible by 8 if






15. 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






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






17. Total






18. 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.






19. 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.






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






21. 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






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






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






24. 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.






25. Decreased by






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






27. 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.






28. 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.






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






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






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






32. 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






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






34. 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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35. Number T increased by 9






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






37. 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






38. Remainder






39. 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.






40. One term (5x or 4)






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






42. Quotient






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






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






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






46. First axiom of equality






47. These are emphasised in a complex number's polar form and it turns out notably that the operations of addition and multiplication take on a very natural geometric character when complex numbers are viewed as position vectors:






48. The objects in a set have at least






49. A number is divisible by 3 if






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