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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.
  • 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. Decreased by






2. 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






3. 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:






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






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






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






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






8. The objects in a set have at least






9. Total






10. Remainder






11. 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.






12. The Arabic numerals from 0 through 9 are called






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






14. One term (5x or 4)






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






16. 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






17. The set of all complex numbers is denoted by






18. A curve in the plane






19. A number is divisible by 9 if






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






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






22. Number symbols






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






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






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






26. 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






27. Product






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






29. 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.






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






31. A number is divisible by 4 if






32. 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.






33. 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.)






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. Number T increased by 9






36. 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






37. 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.






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






39. 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.






40. 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.






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






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






43. 2 -3 -4 -5 -6






44. Are used to indicate sets






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






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






47. Any number that can be divided lnto a given number without a remainder is a






48. The relative greatness of positive and negative numbers






49. 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






50. 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.