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






2. 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






3. 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.






4. Less than






5. 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






6. 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 -






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






8. The Arabic numerals from 0 through 9 are called






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






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






11. 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






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






13. Sixteen less than number Q






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






15. 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.






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






17. Sum






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






19. Subtraction






20. First axiom of equality






21. 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






22. 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.






23. 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






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






25. 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.






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






27. The relative greatness of positive and negative numbers






28. 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.






29. 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:






30. LAWS FOR COMBINING NUMBERS






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






32. Plus






33. Remainder






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






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






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






37. 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






38. Number T increased by 9






39. 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






40. Decreased by






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






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






43. A number is divisible by 9 if






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






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






46. Quotient






47. 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






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






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






50. 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