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






2. 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.






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






4. 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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5. Subtraction






6. Total






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






8. 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






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






10. 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.






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






12. 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






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






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






15. 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






16. More than






17. Sum






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






19. 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.)






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






21. 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






22. 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 -






23. A number is divisible by 9 if






24. A number is divisible by 4 if






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






26. Number X decreased by 12 divided by forty






27. 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






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






29. 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






30. One term (5x or 4)






31. A number is divisible by 6 if it is






32. Number symbols






33. 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.






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






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






36. A curve in the plane






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






38. The relative greatness of positive and negative numbers






39. First axiom of equality






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






41. 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






42. 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






43. 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






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






45. 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.






46. Less than






47. The set of all complex numbers is denoted by






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






49. Product






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