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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. Total






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






3. Sixteen less than number Q






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






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


6. One term (5x or 4)






7. Is any complex number that is a solution to some polynomial equation with rational coefficients; for example - every solution x of (say) is an algebraic number. Fields of algebraic numbers are also called algebraic number fields - or shortly number f






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






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






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






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






12. 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.






13. 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:






14. First axiom of equality






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






16. A number is divisible by 6 if it is






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






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






19. 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.






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






21. 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.






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






23. 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






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






25. 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.






26. Viewed in this way the multiplication of a complex number by i corresponds to rotating a complex number






27. 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.






28. 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.






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






30. In the Rectangular Coordinate System - On the vertical line - direction _______ is negative






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






32. 2 -3 -4 -5 -6






33. 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.






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






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






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






37. Remainder






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






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






40. The relative greatness of positive and negative numbers






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. Number T increased by 9






43. A number is divisible by 4 if






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






45. 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.






46. 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






47. The defining characteristic of a position vector is that it has






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






49. A number is divisible by 5 if its






50. Sum