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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. 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.






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






3. 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.






4. 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.






5. Are used to indicate sets






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






7. 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






8. The set of all complex numbers is denoted by






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






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






11. 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.






12. Viewed in this way the multiplication of a complex number by i corresponds to rotating a complex number






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






14. Any number that is exactly divisible by a given number is a






15. 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






16. If a factor of a number is prime - it is called a






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






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






19. 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.






20. A number is divisible by 5 if its






21. 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.






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






23. LAWS FOR COMBINING NUMBERS






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






25. 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.






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






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






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






29. A number is divisible by 2 if






30. Quotient






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






32. 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 -






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






34. Increased by






35. First axiom of equality






36. Remainder






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






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






39. 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






40. Sixteen less than number Q






41. A number is divisible by 6 if it is






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






43. The Arabic numerals from 0 through 9 are called






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






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






46. 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:






47. Sum






48. 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.






49. 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.






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