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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. One term (5x or 4)






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






3. LAWS FOR COMBINING NUMBERS






4. 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






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






6. 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.






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






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






9. The objects in a set have at least






10. More than






11. 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






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






13. Sum






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






15. 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






16. Increased by






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






18. 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






19. 2 -3 -4 -5 -6






20. The relative greatness of positive and negative numbers






21. Less than






22. This law states that the product of three or more factors is the same regardless of the manner in which they are grouped. Negative signs require no special treatment in the application of this law.






23. A number is divisible by 9 if






24. 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.






25. 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






26. Plus






27. 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






28. 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.






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






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






31. 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.






32. 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






33. A number is divisible by 2 if






34. 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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35. Decreased by






36. 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.






37. 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.)






38. A curve in the plane






39. 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.






40. 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






41. Sixteen less than number Q






42. 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.






43. 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.






44. If z is a real number (i.e. - y = 0) - then r = |x|. In general - by Pythagoras' theorem - r is the distance of the point P representing the complex number z to the origin.






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






46. A number is divisible by 6 if it is






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






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






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






50. 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