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






2. First axiom of equality






3. 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.






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






5. 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






6. A curve in the plane






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






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






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






10. Sixteen less than number Q






11. 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.






12. 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






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






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






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






16. 2 -3 -4 -5 -6






17. A form of coding in which the value of each digit of a number depends upon its position in relation to the other digits of the number. The convention used in our number system is that each digit has a higher place value than those digits to the right






18. 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.






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






20. 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.)






21. Does not have an equal sign (3x+5) (2a+9b)






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






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






24. Quotient






25. 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.






26. 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:






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






28. The set of all complex numbers is denoted by






29. 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






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






31. 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.






32. Number symbols






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






34. The relative greatness of positive and negative numbers






35. A number is divisible by 6 if it is






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






37. 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.






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






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






40. The Arabic numerals from 0 through 9 are called






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






42. Sum






43. Are used to indicate sets






44. 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.






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






46. Less than






47. A number is divisible by 3 if






48. 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






49. Subtraction






50. A number is divisible by 8 if