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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 number is divisible by 6 if it is






2. 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






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






4. 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.






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






6. 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.






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






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






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






10. 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






11. Increased by






12. A curve in the plane






13. Remainder






14. 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.






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






16. A number is divisible by 5 if its






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






19. Sixteen less than number Q






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






21. Product






22. A number is divisible by 4 if






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






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






25. Less than






26. The set of all complex numbers is denoted by






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






28. LAWS FOR COMBINING NUMBERS






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






30. The square roots of a + bi (with b ? 0) are - where and where sgn is the signum function. This can be seen by squaring to obtain a + bi.






31. One term (5x or 4)






32. 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 -






33. 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






34. Total






35. 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






36. 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.)






37. 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.






38. 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






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






40. 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






41. 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.






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






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






44. 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.






45. Any number that la a multiple of 2 is an






46. 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.






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






48. Number T increased by 9






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






50. 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