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






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






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






4. 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.






5. 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.






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






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






8. 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.






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






10. 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.






11. First axiom of equality






12. 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.






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






14. A number is divisible by 9 if






15. Number X decreased by 12 divided by forty






16. Quotient






17. The set of all complex numbers is denoted by






18. Addition of two complex numbers can be done geometrically by






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






20. 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.






21. A number is divisible by 2 if






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






23. Sixteen less than number Q






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






25. A curve in the plane






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






27. The sum of two complex numbers A and B - interpreted as points of the complex plane - is the point X obtained by building a parallelogram three of whose vertices are O - A and B. Equivalently - X is the point such that the triangles with vertices O -






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






29. 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






30. 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.






31. Number T increased by 9






32. 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.






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


34. Less than






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






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






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






38. The objects in a set have at least






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






40. LAWS FOR COMBINING NUMBERS






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






42. 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.






43. The Arabic numerals from 0 through 9 are called






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






45. More than






46. Increased by






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






48. 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.






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






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.