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






2. A curve in the plane






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






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. Plus






6. Quotient






7. Product






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






9. Are often studied as extensions of smaller number fields: a field L is said to be an extension of a field K if L contains K. (For example - the complex numbers C are an extension of the reals R - and the reals R are an extension of the rationals Q.)






10. 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.






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






12. Decreased by






13. The Arabic numerals from 0 through 9 are called






14. 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






15. A number is divisible by 6 if it is






16. 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.






17. The relative greatness of positive and negative numbers






18. Number T increased by 9






19. 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






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






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






22. Subtraction






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






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






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






26. Total






27. A number is divisible by 5 if its






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






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






30. One term (5x or 4)






31. 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.






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






33. 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






34. A number is divisible by 8 if






35. 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






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






37. A number is divisible by 4 if






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






40. 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






41. 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.






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






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






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






45. Has an equal sign (3x+5 = 14)






46. Sixteen less than number Q






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






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. 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.






50. 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 -