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






2. These are emphasised in a complex number's polar form and it turns out notably that the operations of addition and multiplication take on a very natural geometric character when complex numbers are viewed as position vectors:






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






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






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






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






7. Subtraction






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






9. 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






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






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






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






13. 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






14. 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






15. If two equal quantities are multiplied by the same quantity - the resulting products are equal. If equals are multiplied by equals - the products are equal.






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






17. A number is divisible by 6 if it is






18. A number is divisible by 9 if






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






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






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






22. 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






23. Total






24. Plus






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






26. 2 -3 -4 -5 -6






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






28. The relative greatness of positive and negative numbers






29. The Arabic numerals from 0 through 9 are called






30. Sum






31. 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






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






33. 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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34. Any number that la a multiple of 2 is an






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






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






38. Increased by






39. 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






40. The objects in a set have at least






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






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






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






45. A number is divisible by 2 if






46. More than






47. A curve in the plane






48. 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






49. 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.






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