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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. 2 -3 -4 -5 -6






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






3. The objects in a set have at least






4. This formula can be used to compute the multiplicative inverse of a complex number if it is given in






5. Quotient






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






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






8. 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:






9. Total






10. A number is divisible by 9 if






11. A number is divisible by 2 if






12. 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






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






14. Decreased by






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






16. A number is divisible by 8 if






17. Less than






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






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






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






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






22. 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.






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






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






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






26. The set of all complex numbers is denoted by






27. 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






28. Product






29. 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.






30. 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






31. 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.






32. Number symbols






33. Are used to indicate sets






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






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. A number is divisible by 6 if it is






37. 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.






38. Number T increased by 9






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






40. 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.






41. 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.






42. A number is divisible by 3 if






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






44. The complex conjugate of the complex number z = x + yi is defined to be x - yi. It is denoted or . Geometrically - is the


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






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






47. 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.






48. 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.






49. 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.






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