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






3. A form of coding in which the value of each digit of a number depends upon its position in relation to the other digits of the number. The convention used in our number system is that each digit has a higher place value than those digits to the right






4. 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






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






7. 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






8. Sum






9. Has an equal sign (3x+5 = 14)






10. A number is divisible by 9 if






11. 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.






12. 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






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






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






15. The objects in a set have at least






16. 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






17. Number T increased by 9






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






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






20. Plus






21. Increased by






22. More than






23. A number is divisible by 5 if its






24. 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.






25. 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






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






27. Number X decreased by 12 divided by forty






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






29. 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.)






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






31. 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.






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






33. Quotient






34. The relative greatness of positive and negative numbers






35. 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.






36. 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.






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






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






39. 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 -






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






41. One term (5x or 4)






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






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






44. 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.






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






46. Remainder






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






48. 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.






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






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