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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. Number T increased by 9






2. 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






3. LAWS FOR COMBINING NUMBERS






4. The relative greatness of positive and negative numbers






5. 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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6. 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






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






8. 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






9. 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






10. Number symbols






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






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






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






14. Quotient






15. A number is divisible by 3 if






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






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






18. 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






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






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






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






22. A number is divisible by 5 if its






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






24. Product






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






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






27. 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






28. 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






29. 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.






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






31. 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






32. Less than






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






34. 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.)






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






36. 2 -3 -4 -5 -6






37. The Arabic numerals from 0 through 9 are called






38. A number is divisible by 2 if






39. 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.






40. Plus






41. A number is divisible by 6 if it is






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






43. Number X decreased by 12 divided by forty






44. The objects in a set have at least






45. 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.






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






47. 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 -






48. 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






49. Are not necessary. That is - the elements of {2 - 2 - 3 - 4} are simply {2 - 3 - and 4}






50. 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