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






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






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






4. A number is divisible by 8 if






5. 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






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






7. 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






8. Plus






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






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






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






12. Number X decreased by 12 divided by forty






13. 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.






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






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






16. 2 -3 -4 -5 -6






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






18. 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.






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






20. 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 -






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






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






23. The set of all complex numbers is denoted by






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






25. A number is divisible by 4 if






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






27. 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.






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






29. 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






30. Any number that is not a multiple of 2 is an






31. 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






32. Number T increased by 9






33. 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.






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






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






36. 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.






37. 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:






38. A number is divisible by 2 if






39. 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.






40. Less than






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






42. 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.






43. Sixteen less than number Q






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






46. Are used to indicate sets






47. Decreased by






48. Quotient






49. More than






50. 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.