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






2. 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






3. Number X decreased by 12 divided by forty






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






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






6. 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.






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






8. A number is divisible by 4 if






9. Sixteen less than number Q






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






11. A curve in the plane






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






13. The relative greatness of positive and negative numbers






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






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






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






17. 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.






18. Increased by






19. 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.






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






21. Product






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






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






24. 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.






25. 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 -






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






27. 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






28. More than






29. 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






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






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






32. 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.






33. Remainder






34. Are used to indicate sets






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






36. A number is divisible by 3 if






37. 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.






38. 2 -3 -4 -5 -6






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






40. 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.






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






42. 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.






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






44. The Arabic numerals from 0 through 9 are called






45. Subtraction






46. Total






47. Since the elements of the set {2 - 4 - e} are the same as the elements of{4 - 2 - e} - these two sets are said to be






48. One term (5x or 4)






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

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







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