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CLEP General Mathematics: Number Systems And Sets

Subjects : clep, math
Instructions:
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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. Remainder






2. 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






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






4. The set of all complex numbers is denoted by






5. The relative greatness of positive and negative numbers






6. 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






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






8. Are used to indicate sets






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






10. 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






11. 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.






12. 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.






13. 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.






14. More than






15. 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






16. Subtraction






17. 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






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






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






20. 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.






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






22. 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.






23. A number is divisible by 4 if






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






26. 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.






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






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






29. Number X decreased by 12 divided by forty






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






31. 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.






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






33. Sum






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






35. A number is divisible by 6 if it is






36. Decreased by






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






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






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






41. 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






42. Product






43. A number is divisible by 5 if its






44. The Arabic numerals from 0 through 9 are called






45. Number symbols






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






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






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






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






50. A number is divisible by 2 if