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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. The Arabic numerals from 0 through 9 are called






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






3. The objects in a set have at least






4. A number is divisible by 5 if its






5. A number is divisible by 3 if






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






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






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






9. The real and imaginary parts of a complex number can be extracted using the conjugate:






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






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






12. Less than






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






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. 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






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






17. 2 -3 -4 -5 -6






18. A curve in the plane






19. 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.






20. LAWS FOR COMBINING NUMBERS






21. 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






22. Increased by






23. A number is divisible by 4 if






24. 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






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






26. 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.






27. The relative greatness of positive and negative numbers






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






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






30. A number is divisible by 8 if






31. 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






32. 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






33. Product






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






35. 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.






36. Decreased by






37. 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.






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






39. 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 -






40. Number X decreased by 12 divided by forty






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






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






43. Number symbols






44. 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.






45. 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.






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






47. The objects or symbols in a set are called Numerals - Lines - or Points






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






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






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