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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. Addition of two complex numbers can be done geometrically by






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






3. This law states that the sum of two or more addends is the same regardless of the order in which they are arranged. Means to change - substitute or move from place to place.






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






5. A curve in the plane






6. 2 -3 -4 -5 -6






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






8. 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.






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






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






11. 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.






12. 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 -






13. 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.






14. 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






15. Total






16. Decreased by






17. Remainder






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






19. Sixteen less than number Q






20. 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






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






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






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






25. A number is divisible by 6 if it is






26. 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






27. 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






28. Number X decreased by 12 divided by forty






29. One term (5x or 4)






30. A number is divisible by 9 if






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






32. Plus






33. A number is divisible by 2 if






34. A number is divisible by 5 if its






35. 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.






36. 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






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






38. Number symbols






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






40. A number is divisible by 8 if






41. Subtraction






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






43. 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.






44. The objects in a set have at least






45. 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.






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






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






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






49. Sum






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