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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. 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.






2. A number is divisible by 5 if its






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






4. The set of all complex numbers is denoted by






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






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






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






8. The defining characteristic of a position vector is that it has






9. LAWS FOR COMBINING NUMBERS






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






11. Product






12. A number is divisible by 8 if






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






14. Subtraction






15. 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






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






17. Number T increased by 9






18. A number is divisible by 2 if






19. 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






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






21. 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.






22. 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.






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






24. 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.






25. First axiom of equality






26. Sixteen less than number Q






27. 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.






28. 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.






29. More than






30. One term (5x or 4)






31. 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






32. A number is divisible by 6 if it is






33. 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.






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






35. Plus






36. Sum






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






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






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






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






41. Number symbols






42. 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.






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






44. A curve in the plane






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






46. A form of coding in which the value of each digit of a number depends upon its position in relation to the other digits of the number. The convention used in our number system is that each digit has a higher place value than those digits to the right






47. Increased by






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






49. Less than






50. The relative greatness of positive and negative numbers