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






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






3. 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.






4. 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






5. 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 -






6. 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.






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






8. The objects in a set have at least






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






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






11. Total






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






14. 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






15. Decreased by






16. 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.






17. 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






18. The Arabic numerals from 0 through 9 are called






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






20. 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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21. 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:






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






23. 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.)






24. 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.






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






26. 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






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. Are used to indicate sets






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






30. Number X decreased by 12 divided by forty






31. 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






32. Number T increased by 9






33. 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






34. Quotient






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






36. 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






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






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






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. The number without a variable (5m+2). In this case - 2






41. 2 -3 -4 -5 -6






42. A number is divisible by 3 if






43. Sixteen less than number Q






44. One term (5x or 4)






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






46. A number is divisible by 9 if






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






48. 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.






49. 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.






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







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