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






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






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






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






5. 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






6. A number is divisible by 8 if






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






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






9. 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.






10. A number is divisible by 5 if its






11. 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






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






13. 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.






14. The set of all complex numbers is denoted by






15. 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.






16. Remainder






17. Product






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






19. This law can be applied to subtraction by changing signs in such a way that all negative signs are treated as number signs rather than operational signs.That is - some of the addends can be negative numbers.






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






21. 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.






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






23. 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






24. 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






25. 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.






26. A number is divisible by 9 if






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






28. 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






29. 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






30. A curve in the plane






31. First axiom of equality






32. 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.






33. The central problem of Diophantine geometry is to determine when a Diophantine equation has






34. The objects in a set have at least






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






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






37. 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






38. Studies algebraic properties and algebraic objects of interest in number theory. (Thus - analytic and algebraic number theory can and do overlap: the former is defined by its methods - the latter by its objects of study.) A key topic is that of the a






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






40. A number is divisible by 2 if






41. Sixteen less than number Q






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






43. Subtraction






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






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






46. 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 -






47. Increased by






48. Less than






49. 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






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.