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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. Remainder






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






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






4. A number is divisible by 8 if






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






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. 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.)






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






9. Product






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






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






12. First axiom of equality






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






14. Number T increased by 9






15. Number symbols






16. 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.






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






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






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






20. Less than






21. Is called the real part of z - and the real number b is often called the imaginary part. By this convention the imaginary part is a real number - not including the imaginary unit: hence b - not bi - is the imaginary part. (Others - however call bi th






22. Plus






23. 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.






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






25. 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.






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






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






28. A curve in the plane






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






30. 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






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






32. The set of all complex numbers is denoted by






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






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






35. 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






36. 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.






37. A number is divisible by 5 if its






38. 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






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






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






41. 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.






42. 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.






43. 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






44. Are used to indicate sets






45. Quotient






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






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






48. 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






49. A number is divisible by 2 if






50. A number is divisible by 3 if







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