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CLEP General Mathematics: Number Systems And Sets

Subjects : clep, math
Instructions:
  • Answer 50 questions in 15 minutes.
  • If you are not ready to take this test, you can study here.
  • Match each statement with the correct term.
  • Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

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. 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.






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






3. Quotient






4. A number is divisible by 6 if it is






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






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






7. 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






8. 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






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






10. If a factor of a number is prime - it is called a






11. Subtraction






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






13. A number is divisible by 9 if






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






15. 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 -






16. LAWS FOR COMBINING NUMBERS






17. In the Rectangular Coordinate System - the direction to the left along the horizontal line is






18. A number is divisible by 8 if






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






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






21. 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.






22. More than






23. 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.)






24. A number is divisible by 2 if






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






26. 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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27. 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.






28. As shown earlier - c - di is the complex conjugate of the denominator c + di.






29. Remainder






30. Sixteen less than number Q






31. 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






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






33. 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






34. 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.






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






37. Number T increased by 9






38. 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.






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. Number X decreased by 12 divided by forty






41. If two equal quantities are multiplied by the same quantity - the resulting products are equal. If equals are multiplied by equals - the products are equal.






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






43. Product






44. 2 -3 -4 -5 -6






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






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






47. 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






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






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






50. Sum