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






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






3. This law can be applied to subtraction by changing signs so that all negative signs become number signs and all signs of operation are positive.






4. Product






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






6. A number is divisible by 8 if






7. 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.






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






9. A number is divisible by 9 if






10. 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






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






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






13. The Arabic numerals from 0 through 9 are called






14. A number is divisible by 2 if






15. A number is divisible by 6 if it is






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






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






18. 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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19. Quotient






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






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






22. 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






23. The relative greatness of positive and negative numbers






24. 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






25. A number is divisible by 3 if






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






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






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






29. 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.






30. A number that has factors other than itself and 1 is a






31. LAWS FOR COMBINING NUMBERS






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






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. 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.






35. Number symbols






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. 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.






38. This law combines the operations of addition and multiplication. The distribution of a common multiplier among the terms of an additive expression.






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






40. 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






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. 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.






43. Plus






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






45. Remainder






46. Increased by






47. 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:






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






49. 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






50. 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