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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. 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






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






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






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. Are used to indicate sets






6. A number is divisible by 3 if






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






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






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






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






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






12. 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






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






14. Product






15. 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






16. 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






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






18. 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.






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






20. Plus






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






22. 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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23. 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.






24. Sum






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






26. 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.






27. A number is divisible by 8 if






28. 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.






29. Total






30. One term (5x or 4)






31. Subtraction






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






33. The set of all complex numbers is denoted by






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






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






36. 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:






37. Number X decreased by 12 divided by forty






38. 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.






39. Begin by taking out the smallest factor If the number is even - take out all the 2's first - then try 3 as a factor






40. 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.






41. Increased by






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






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






44. A number is divisible by 2 if






45. 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 -






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






47. Number symbols






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






49. First axiom of equality






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