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






2. 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.






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






4. Are used to indicate sets






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






6. One term (5x or 4)






7. The relative greatness of positive and negative numbers






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






9. 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.






10. 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






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






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






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






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






15. 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.






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






17. 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






18. 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.






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






20. Subtraction






21. 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.






22. 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.






23. Sum






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






25. 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.






26. First axiom of equality






27. 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.






28. Product






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






30. 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.






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






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






33. More than






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






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






36. Remainder






37. 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 -






38. 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.






39. 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






40. Less than






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






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






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






44. A number is divisible by 8 if






45. Total






46. Number T increased by 9






47. 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:






48. A curve in the plane






49. Increased by






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






Can you answer 50 questions in 15 minutes?



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