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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. Total






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






3. 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.






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






5. LAWS FOR COMBINING NUMBERS






6. A number is divisible by 8 if






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






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






9. 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






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






11. 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:






12. A number is divisible by 9 if






13. 2 -3 -4 -5 -6






14. 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






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. More than






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






18. Number T increased by 9






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






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






21. First axiom of equality






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






23. 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






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






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






27. A form of coding in which the value of each digit of a number depends upon its position in relation to the other digits of the number. The convention used in our number system is that each digit has a higher place value than those digits to the right






28. 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






29. 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.






30. 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.






31. 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






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






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






34. Plus






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






36. Product






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






38. 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






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






40. 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.)






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






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






43. Sixteen less than number Q






44. The set of all complex numbers is denoted by






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






46. One term (5x or 4)






47. Less than






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






49. A number is divisible by 5 if its






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