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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. 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.






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






3. Number symbols






4. Total






5. 2 -3 -4 -5 -6






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






7. Are used to indicate sets






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






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






10. Subtraction






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






12. A number is divisible by 9 if






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






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






15. A number is divisible by 8 if






16. 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.






17. 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.






18. Consists of all numbers of the form - where a and b are rational numbers and d is a fixed rational number whose square root is not rational.






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






20. 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.






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






22. 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






23. 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






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






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






26. 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






27. The base which is most commonly used is ten - and the system with ten as a base is called the decimal system (decem is the Latin word for ten). Any number is assumed - unless indicated - to be a






28. 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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29. 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.






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






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






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






33. 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






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






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






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






37. First axiom of equality






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






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






40. A curve in the plane






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






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






43. A number is divisible by 5 if its






44. 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.






45. Quotient






46. A number is divisible by 3 if






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






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






49. Less than






50. Sum






Can you answer 50 questions in 15 minutes?



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