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. 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






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






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






4. Number X decreased by 12 divided by forty






5. 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.






6. Decreased by






7. 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






8. Subtraction






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






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






11. 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






12. A number is divisible by 3 if






13. The square roots of a + bi (with b ? 0) are - where and where sgn is the signum function. This can be seen by squaring to obtain a + bi.






14. Are used to indicate sets






15. Product






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






17. Number T increased by 9






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






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






20. 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.






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






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






23. 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.






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






25. 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






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






27. In the Rectangular Coordinate System - On the vertical line - direction ________ is positive






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






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






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






31. A curve in the plane






32. 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






33. 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.






34. 2 -3 -4 -5 -6






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






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






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






38. 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.






39. 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






40. Sum






41. The complex conjugate of the complex number z = x + yi is defined to be x - yi. It is denoted or . Geometrically - is the

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


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






43. 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.)






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






45. A number is divisible by 4 if






46. More than






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






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






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






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