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






2. Plus






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






4. A number is divisible by 9 if






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






6. Is a number that can be expressed in the form where a and b are real numbers and i is the imaginary unit - satisfying i2 = -1. For example - -3.5 + 2i is a complex number. It is common to write a for a + 0i and bi for 0 + bi. Moreover - when the imag






7. Product






8. 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






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






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






11. The finiteness or not of the number of rational or integer points on an algebraic curve






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






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






14. A curve in the plane






15. 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.






16. Sixteen less than number Q






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






18. Quotient






19. Number X decreased by 12 divided by forty






20. Subtraction






21. 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.






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






23. Less than






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






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. Are used to indicate sets






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






28. 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.






29. One term (5x or 4)






30. 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.






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






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






33. 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.






34. First axiom of equality






35. Allow the variables in f(x -y) = 0 to be complex numbers; then f(x -y) = 0 defines a 2-dimensional surface in (projective) 4-dimensional space (since two complex variables can be decomposed into four real variables - i.e. - four dimensions). Count th






36. 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.






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






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






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






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






41. 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






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






43. 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.






44. A number is divisible by 3 if






45. 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.






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






47. The objects in a set have at least






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






49. Remainder






50. Work on the problem of general polynomials ultimately led to the fundamental theorem of algebra -







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