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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. 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






2. Sixteen less than number Q






3. One term (5x or 4)






4. Remainder






5. More than






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






7. 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






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






9. Product






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






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






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






13. 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:






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






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






16. 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






17. Subtraction






18. 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.






19. 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






20. LAWS FOR COMBINING NUMBERS






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






22. 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.






23. 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.






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






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






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






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






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






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






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






31. 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.






32. The objects in a set have at least






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






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






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






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






37. 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






38. 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






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






40. A curve in the plane






41. Any number that la a multiple of 2 is an






42. The Arabic numerals from 0 through 9 are called






43. 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






44. 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






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






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






47. Number T increased by 9






48. Increased by






49. 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.






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