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






2. 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.






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






4. LAWS FOR COMBINING NUMBERS






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






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






7. 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.)






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






9. 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 -






10. 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.






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






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






13. 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






14. Less than






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






16. First axiom of equality






17. 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






18. 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.






19. The objects in a set have at least






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






21. Quotient






22. The set of all complex numbers is denoted by






23. 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






24. 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.






25. 2 -3 -4 -5 -6






26. A number is divisible by 6 if it is






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






28. Number X decreased by 12 divided by forty






29. 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.






30. 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.






31. 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.






32. Remainder






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






34. The relative greatness of positive and negative numbers






35. 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






36. 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






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






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






39. A number is divisible by 5 if its






40. Number symbols






41. 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.






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






43. Increased by






44. 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.






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






46. One term (5x or 4)






47. Plus






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






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






50. Sum