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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. Subtraction






2. Decreased by






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






4. 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






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






6. The objects in a set have at least






7. 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.






8. The set of all complex numbers is denoted by






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






10. In the Rectangular Coordinate System - the direction to the left along the horizontal line is






11. Increased by






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






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






14. First axiom of equality






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






16. LAWS FOR COMBINING NUMBERS






17. 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






18. A number is divisible by 4 if






19. 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






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






21. 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.






22. 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.)






23. 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.






24. 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






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






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






27. Less than






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






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






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






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






32. Product






33. Sum






34. 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.






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






36. The Arabic numerals from 0 through 9 are called






37. Are used to indicate sets






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






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






40. Quotient






41. 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






42. These are emphasised in a complex number's polar form and it turns out notably that the operations of addition and multiplication take on a very natural geometric character when complex numbers are viewed as position vectors:






43. 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.






44. Work on the problem of general polynomials ultimately led to the fundamental theorem of algebra -






45. A number is divisible by 8 if






46. Plus






47. A number is divisible by 3 if






48. 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






49. More than






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