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






2. 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.






3. 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






4. 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






5. Quotient






6. 2 -3 -4 -5 -6






7. More than






8. Remainder






9. 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






10. This law can be applied to subtraction by changing signs in such a way that all negative signs are treated as number signs rather than operational signs.That is - some of the addends can be negative numbers.






11. A number is divisible by 5 if its






12. 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.)






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






14. 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 -






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






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






17. 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






18. Product






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






20. 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






21. The complex conjugate of the complex number z = x + yi is defined to be x - yi. It is denoted or . Geometrically - is the


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






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






24. 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.






25. A number is divisible by 2 if






26. Sixteen less than number Q






27. Number X decreased by 12 divided by forty






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. The Arabic numerals from 0 through 9 are called






30. 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






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






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






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






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






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






36. 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






37. 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:






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






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






40. 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






41. 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.






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






43. The set of all complex numbers is denoted by






44. 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.






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






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






47. A curve in the plane






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






49. 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.






50. A number is divisible by 8 if