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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. More than






2. 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.






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






4. Is called the real part of z - and the real number b is often called the imaginary part. By this convention the imaginary part is a real number - not including the imaginary unit: hence b - not bi - is the imaginary part. (Others - however call bi th






5. The set of all complex numbers is denoted by






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






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






8. The objects in a set have at least






9. A number is divisible by 3 if






10. The relative greatness of positive and negative numbers






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






12. A number is divisible by 5 if its






13. Are used to indicate sets






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






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






16. A number is divisible by 6 if it is






17. This law combines the operations of addition and multiplication. The distribution of a common multiplier among the terms of an additive expression.






18. 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






19. One term (5x or 4)






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






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






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






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






24. A number is divisible by 8 if






25. A curve in the plane






26. 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.






27. Number T increased by 9






28. This law states that the sum of two or more addends is the same regardless of the order in which they are arranged. Means to change - substitute or move from place to place.






29. 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






30. Sum






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






32. Number symbols






33. Remainder






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






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






36. Plus






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






38. 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






39. Subtraction






40. 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






41. 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.






42. First axiom of equality






43. LAWS FOR COMBINING NUMBERS






44. 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.






45. Is a number that can be expressed in the form where a and b are real numbers and i is the imaginary unit - satisfying i2 = -1. For example - -3.5 + 2i is a complex number. It is common to write a for a + 0i and bi for 0 + bi. Moreover - when the imag






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






47. 2 -3 -4 -5 -6






48. 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.






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






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.