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






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






3. First axiom of equality






4. Total






5. Are used to indicate sets






6. This law states that the product of two or more factors is the same regardless of the order in which the factors are arranged. Negative signs require no special treatment in the application of this law.






7. Increased by






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






9. 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.






10. 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






11. 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






12. Plus






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






14. Quotient






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






16. 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.






17. Less than






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






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






20. A number is divisible by 9 if






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






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






23. The objects in a set have at least






24. 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






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






26. 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






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






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






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






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






31. Decreased by






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






33. 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.






34. 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






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






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






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






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






40. A number is divisible by 8 if






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






42. Number T increased by 9






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






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






45. 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






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






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






50. 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.







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