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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. 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






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






3. 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.






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






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






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






7. 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






8. A number is divisible by 6 if it is






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. Any number that la a multiple of 2 is an






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






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






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






14. 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






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






16. 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






17. Quotient






18. Total






19. The set of all complex numbers is denoted by






20. The Arabic numerals from 0 through 9 are called






21. 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.






22. 2 -3 -4 -5 -6






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






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






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






26. A curve in the plane






27. One term (5x or 4)






28. Number X decreased by 12 divided by forty






29. First axiom of equality






30. A number is divisible by 4 if






31. 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






32. A number is divisible by 3 if






33. Less than






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






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






36. Sum






37. The number of digits in an integer indicates its rank; that is - whether it is 'in the hundreds -' 'in the thousands -' etc. The idea of ranking numbers in terms of tens - hundreds - thousands - etc. - is based on the






38. 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.






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






40. Remainder






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






42. Number T increased by 9






43. More than






44. The objects in a set have at least






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






46. 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.






47. 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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48. 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






49. 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






50. Subtraction