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CLEP General Mathematics: Number Systems And Sets

Subjects : clep, math
Instructions:
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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 9 if






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






3. 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.)






4. First axiom of equality






5. 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.






6. LAWS FOR COMBINING NUMBERS






7. 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.






8. Sixteen less than number Q






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






10. A curve in the plane






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






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






13. Number T increased by 9






14. 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.






15. 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






16. 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.






17. Number symbols






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






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






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






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






22. 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.






23. 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.






24. Total






25. More than






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






27. 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






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






29. 2 -3 -4 -5 -6






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






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






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






33. Plus






34. 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.






35. 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.






36. A number is divisible by 8 if






37. 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






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






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






40. A number is divisible by 2 if






41. 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.






42. 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






43. The place value which corresponds to a given position in a number is determined by the






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






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






46. Sum






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






48. 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.






49. 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.






50. Increased by