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






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






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






4. More than






5. Number X decreased by 12 divided by forty






6. Increased by






7. A number is divisible by 8 if






8. 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






9. The relative greatness of positive and negative numbers






10. A number is divisible by 9 if






11. Decreased by






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






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






15. 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 -






16. The objects in a set have at least






17. A number is divisible by 5 if its






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






19. Remainder






20. A number is divisible by 3 if






21. 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






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






23. LAWS FOR COMBINING NUMBERS






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






25. 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






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






27. 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:






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






29. 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






30. 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






31. Quotient






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






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






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






35. 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.






36. Product






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






38. 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.






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






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






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






42. Total






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






44. An equation - or system of equations - in two or more variables defines






45. 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






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






47. 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.






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






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






50. A curve in the plane







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