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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. 2 -3 -4 -5 -6






2. One term (5x or 4)






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






4. 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






5. Quotient






6. A curve in the plane






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






8. 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.






9. 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






10. 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.






11. First axiom of equality






12. Plus






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






14. Remainder






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






16. 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.






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






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






19. 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






20. 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.






21. 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.)






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






23. Sum






24. A number is divisible by 5 if its






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






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






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






28. More than






29. A number is divisible by 3 if






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






31. The base which is most commonly used is ten - and the system with ten as a base is called the decimal system (decem is the Latin word for ten). Any number is assumed - unless indicated - to be a






32. 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.






33. Subtraction






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






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






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






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






38. A number is divisible by 9 if






39. 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 -






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






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






42. Increased by






43. 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.






44. 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.






45. 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






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






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






48. A number is divisible by 4 if






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






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