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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. The Arabic numerals from 0 through 9 are called






2. 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.






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






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






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






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






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






8. Decreased by






9. 2 -3 -4 -5 -6






10. First axiom of equality






11. 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.






12. A number is divisible by 6 if it is






13. 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.






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






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






16. 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.






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






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






19. 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 -






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. Plus






22. Quotient






23. Number symbols






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






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






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






27. 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.






28. 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.






29. 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.






30. Sum






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






32. A number is divisible by 3 if






33. 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.






34. The place value which corresponds to a given position in a number is determined by the






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






36. 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:






37. More than






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






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






40. 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






41. 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.






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






43. 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.






44. Sixteen less than number Q






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






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






47. 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.






48. The set of all complex numbers is denoted by






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






50. 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







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