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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. 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.






3. The set of all complex numbers is denoted by






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






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






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






7. Are often studied as extensions of smaller number fields: a field L is said to be an extension of a field K if L contains K. (For example - the complex numbers C are an extension of the reals R - and the reals R are an extension of the rationals Q.)






8. The objects in a set have at least






9. A number is divisible by 2 if






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






11. 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






12. 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.






13. First axiom of equality






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






15. LAWS FOR COMBINING NUMBERS






16. 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






17. 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






18. The Arabic numerals from 0 through 9 are called






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






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






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






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






23. 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.






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






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






26. 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.






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






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






29. Plus






30. 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






31. This law combines the operations of addition and multiplication. The distribution of a common multiplier among the terms of an additive expression.






32. A number is divisible by 3 if






33. Are used to indicate sets






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






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






36. A number is divisible by 8 if






37. Less than






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






39. Subtraction






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. 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






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






43. Product






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






45. 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.






46. Number X decreased by 12 divided by forty






47. Allow the variables in f(x -y) = 0 to be complex numbers; then f(x -y) = 0 defines a 2-dimensional surface in (projective) 4-dimensional space (since two complex variables can be decomposed into four real variables - i.e. - four dimensions). Count th






48. 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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49. Sixteen less than number Q






50. More than