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






2. 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.






3. 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.






4. A number is divisible by 2 if






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






6. Number X decreased by 12 divided by forty






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






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






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






10. A number is divisible by 9 if






11. 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.






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






13. 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






14. 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






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






16. More than






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






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. 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






20. A number is divisible by 4 if






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






22. Decreased by






23. A number is divisible by 3 if






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






25. A number is divisible by 5 if its






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






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






28. 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.






29. 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 -






30. 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.)






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






32. Sixteen less than number Q






33. Remainder






34. Subtraction






35. 2 -3 -4 -5 -6






36. Are used to indicate sets






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






38. 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.






39. Increased by






40. In terms of its tools - as the study of the integers by means of tools from real and complex analysis - in terms of its concerns - as the study within number theory of estimates on size and density - as opposed to identities.






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






42. 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.






43. 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






44. The relative greatness of positive and negative numbers






45. One term (5x or 4)






46. The objects in a set have at least






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






48. Less than






49. A number is divisible by 8 if






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