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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. A number is divisible by 2 if






2. Sum






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






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






5. LAWS FOR COMBINING NUMBERS






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






7. 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.






8. 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.






9. 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:






10. Remainder






11. 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






12. The set of all complex numbers is denoted by






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






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






15. 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.






16. 2 -3 -4 -5 -6






17. 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.






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






19. The relative greatness of positive and negative numbers






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






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






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






23. 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






24. 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.






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






26. 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.






27. 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






28. 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






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






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






31. Number T increased by 9






32. 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






33. A number is divisible by 3 if






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






35. 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.






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






37. Increased by






38. Product






39. 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.






40. Subtraction






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






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






43. The Arabic numerals from 0 through 9 are called






44. 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






45. Less than






46. A curve in the plane






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






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






49. 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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50. A number is divisible by 8 if