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






2. 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.






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






4. Less than






5. Remainder






6. Increased by






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






8. Decreased by






9. Number symbols






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






11. The set of all complex numbers is denoted by






12. Are used to indicate sets






13. 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






14. 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






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






16. The objects in a set have at least






17. 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






18. A number is divisible by 3 if






19. 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






20. 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.






21. Product






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 that has factors other than itself and 1 is a






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






25. A number is divisible by 2 if






26. A number is divisible by 4 if






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






28. LAWS FOR COMBINING NUMBERS






29. 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






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






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






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






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






34. 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






35. 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.






36. The Arabic numerals from 0 through 9 are called






37. The relative greatness of positive and negative numbers






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






39. 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






40. Number T increased by 9






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






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






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






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






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






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






48. A curve in the plane






49. 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






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