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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. 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.






2. One term (5x or 4)






3. Increased by






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






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






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






8. Total






9. 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






10. 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






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






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






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






14. A number is divisible by 2 if






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






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






17. A number is divisible by 3 if






18. Plus






19. The set of all complex numbers is denoted by






20. 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.






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






22. 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






23. 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 -






24. 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.






25. Sum






26. 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.






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






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






29. Product






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






31. 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.)






32. Studies algebraic properties and algebraic objects of interest in number theory. (Thus - analytic and algebraic number theory can and do overlap: the former is defined by its methods - the latter by its objects of study.) A key topic is that of the a






33. A curve in the plane






34. 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.






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






36. Number T increased by 9






37. 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.






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






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






40. 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






41. A number is divisible by 4 if






42. The Arabic numerals from 0 through 9 are called






43. 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






44. 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.






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






46. 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






47. 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






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






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






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