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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. 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






2. Number X decreased by 12 divided by forty






3. The relative greatness of positive and negative numbers






4. G - E - M - A Grouping - Exponents - Multiply/Divide - Add/Subtract






5. A number is divisible by 9 if






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






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






8. 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 -






9. Sixteen less than number Q






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






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






12. 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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13. The central problem of Diophantine geometry is to determine when a Diophantine equation has






14. Total






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






16. 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






17. 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.






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






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






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






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






22. Sum






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






24. The numbers which are used for counting in our number system are sometimes called






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






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






27. 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






28. Number symbols






29. Are used to indicate sets






30. 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:






31. Decreased by






32. The Arabic numerals from 0 through 9 are called






33. 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






34. 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.






35. 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






36. Product






37. Less than






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






39. 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






40. 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






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






42. 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.






43. More than






44. 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.






45. A number is divisible by 4 if






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






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






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






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






50. A number is divisible by 3 if