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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. Number T increased by 9






2. 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.






3. A number is divisible by 4 if






4. Quotient






5. First axiom of equality






6. 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






7. Product






8. 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.






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






10. Decreased by






11. Sum






12. 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






13. 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






14. 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






15. Less than






16. 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.






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






18. 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.






19. A curve in the plane






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






21. 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 -






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






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






24. 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






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






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






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






28. The Arabic numerals from 0 through 9 are called






29. A number is divisible by 2 if






30. 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






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






32. Number symbols






33. 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.






34. A number is divisible by 5 if its






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






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






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






38. More than






39. Increased by






40. 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.






41. In particular - the square of the imaginary unit is -1: The preceding definition of multiplication of general complex numbers follows naturally from this fundamental property of the imaginary unit. Indeed - if i is treated as a number so that di mean






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






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






44. Consists of all numbers of the form - where a and b are rational numbers and d is a fixed rational number whose square root is not rational.






45. 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.






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






47. The objects or symbols in a set are called Numerals - Lines - or Points






48. 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






49. 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






50. 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.