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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. 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.






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






4. 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






5. 2 -3 -4 -5 -6






6. 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.






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






8. Increased by






9. A number is divisible by 5 if its






10. 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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11. A number is divisible by 9 if






12. 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.






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






14. 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






15. Total






16. 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.






17. These are emphasised in a complex number's polar form and it turns out notably that the operations of addition and multiplication take on a very natural geometric character when complex numbers are viewed as position vectors:






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






19. Plus






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






21. 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.






22. LAWS FOR COMBINING NUMBERS






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






24. First axiom of equality






25. 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






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






27. A number is divisible by 2 if






28. Decreased by






29. Sixteen less than number Q






30. 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.)






31. 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.






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






33. Sum






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






35. Number T increased by 9






36. More than






37. One term (5x or 4)






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






39. 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






40. Are used to indicate sets






41. 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.






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






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






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






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






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






47. 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.






48. Number X decreased by 12 divided by forty






49. The objects in a set have at least






50. Subtraction