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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. 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






2. Increased by






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






4. 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 -






5. This law states that the product of two or more factors is the same regardless of the order in which the factors are arranged. Negative signs require no special treatment in the application of this law.






6. Decreased by






7. 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.






8. Number X decreased by 12 divided by forty






9. 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.






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






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






12. 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.






13. Sum






14. Plus






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






16. Number T increased by 9






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






18. 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






19. 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






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






21. A curve in the plane






22. 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






23. 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.






24. Remainder






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






26. First axiom of equality






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






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






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






30. The Arabic numerals from 0 through 9 are called






31. The relative greatness of positive and negative numbers






32. 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.






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

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34. Total






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






36. 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.






37. Sixteen less than number Q






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






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






41. The number of digits in an integer indicates its rank; that is - whether it is 'in the hundreds -' 'in the thousands -' etc. The idea of ranking numbers in terms of tens - hundreds - thousands - etc. - is based on the






42. 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.






43. A number is divisible by 5 if its






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






45. 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.






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






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






48. Begin by taking out the smallest factor If the number is even - take out all the 2's first - then try 3 as a factor






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






50. 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