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






2. 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 -






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






4. 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






5. One term (5x or 4)






6. A number is divisible by 2 if






7. Integers greater than zero and less than 5 form a set - as follows:






8. Number X decreased by 12 divided by forty






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






10. 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.)






11. Decreased by






12. A curve in the plane






13. Allow for solutions to certain equations that have no real solution: the equation has no real solution - since the square of a real number is 0 or positive.






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






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






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






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






18. 2 -3 -4 -5 -6






19. 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






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






21. A number is divisible by 5 if its






22. The objects in a set have at least






23. The Arabic numerals from 0 through 9 are called






24. The relative greatness of positive and negative numbers






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






26. 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.






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






28. 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






29. 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.






30. 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.






31. 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.






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






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






34. The set of all complex numbers is denoted by






35. More than






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






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






39. 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






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






41. 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.






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






43. LAWS FOR COMBINING NUMBERS






44. Number T increased by 9






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






46. A number is divisible by 8 if






47. Remainder






48. 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






49. 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.






50. 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.