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






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






3. A number is divisible by 2 if






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






5. 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.






6. 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






7. Are used to indicate sets






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






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






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






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






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






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






14. This law can be applied to subtraction by changing signs in such a way that all negative signs are treated as number signs rather than operational signs.That is - some of the addends can be negative numbers.






15. A number is divisible by 8 if






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






17. 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.






18. 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






19. Total






20. A number is divisible by 6 if it is






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






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






23. One term (5x or 4)






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






25. Number X decreased by 12 divided by forty






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






27. The set of all complex numbers is denoted by






28. Sixteen less than number Q






29. 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






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






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






32. 2 -3 -4 -5 -6






33. 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






34. 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.






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






36. First axiom of equality






37. 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.






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






39. 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.






40. 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






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






42. Product of 16 and the sum of 5 and number R






43. 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.






44. A number is divisible by 5 if its






45. LAWS FOR COMBINING NUMBERS






46. 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






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






48. 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.






49. Product






50. 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