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






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






3. Number T increased by 9






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






5. Decreased by






6. Number X decreased by 12 divided by forty






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






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






9. A number is divisible by 8 if






10. Is called the real part of z - and the real number b is often called the imaginary part. By this convention the imaginary part is a real number - not including the imaginary unit: hence b - not bi - is the imaginary part. (Others - however call bi th






11. The objects in a set have at least






12. The set of all complex numbers is denoted by






13. More than






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






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






16. Subtraction






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






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






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






20. 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






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. In the Rectangular Coordinate System - On the vertical line - direction _______ is negative






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






24. 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






25. 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.






26. Addition of two complex numbers can be done geometrically by






27. One term (5x or 4)






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






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






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






31. The Arabic numerals from 0 through 9 are called






32. 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.






33. A number is divisible by 9 if






34. Quotient






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






36. A number is divisible by 3 if






37. 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






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






39. Are used to indicate sets






40. A number is divisible by 5 if its






41. 2 -3 -4 -5 -6






42. Is a number that can be expressed in the form where a and b are real numbers and i is the imaginary unit - satisfying i2 = -1. For example - -3.5 + 2i is a complex number. It is common to write a for a + 0i and bi for 0 + bi. Moreover - when the imag






43. The number without a variable (5m+2). In this case - 2






44. Less than






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 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






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. 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






49. 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.






50. 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.






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