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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 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.






2. Remainder






3. 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






4. Sixteen less than number Q






5. 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.






6. 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






7. A number is divisible by 9 if






8. 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.






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






10. Has an equal sign (3x+5 = 14)






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






12. 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.






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






14. Product






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






16. Less than






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






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






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






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






21. 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.






22. LAWS FOR COMBINING NUMBERS






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






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






25. 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






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






27. 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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28. Addition of two complex numbers can be done geometrically by






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






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. One term (5x or 4)






32. 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






33. Subtraction






34. 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.






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






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






37. 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.






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






39. 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






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






41. 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:






42. 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






43. Quotient






44. Work on the problem of general polynomials ultimately led to the fundamental theorem of algebra -






45. 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.






46. 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.






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






48. A curve in the plane






49. A number is divisible by 6 if it is






50. Number X decreased by 12 divided by forty