Test your basic knowledge |

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. A number is divisible by 2 if






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






3. 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






4. Increased by






5. 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.






6. Plus






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






8. 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






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






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






11. 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.






12. Another way of encoding points in the complex plane other than using the x- and y-coordinates is to use the distance of a point P to O - the point whose coordinates are (0 - 0) (the origin) - and the angle of the line through P and O. This idea leads






13. 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 -






14. The objects in a set have at least






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






16. Total






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






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






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






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






21. The set of all complex numbers is denoted by






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






23. Are used to indicate sets






24. 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.)






25. 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.






26. 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.






27. A number is divisible by 6 if it is






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






29. LAWS FOR COMBINING NUMBERS






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






31. 2 -3 -4 -5 -6






32. A number is divisible by 5 if its






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






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






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






36. Number X decreased by 12 divided by forty






37. 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.






38. Sum






39. Less than






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






41. 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






42. 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






43. 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.






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






45. More than






46. 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






47. 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.






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






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






50. Number symbols