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CLEP General Mathematics: Number Systems And Sets

Subjects : clep, math
Instructions:
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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. 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






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






3. 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 -






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






5. The Arabic numerals from 0 through 9 are called






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






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






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






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






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






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






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






13. The set of all complex numbers is denoted by






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






15. 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:






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






17. 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.






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






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






20. 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.






21. A number is divisible by 4 if






22. The objects in a set have at least






23. Total






24. More than






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






26. Number symbols






27. A number is divisible by 2 if






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






29. 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.






30. A number is divisible by 8 if






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






32. 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.






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






34. LAWS FOR COMBINING NUMBERS






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






36. 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.






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






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






39. 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






40. Quotient






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






42. Less than






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






44. 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






45. A curve in the plane






46. 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






47. 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.






48. 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.






49. Increased by






50. Subtraction






Can you answer 50 questions in 15 minutes?



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