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






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






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






4. 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.






5. The set of all complex numbers is denoted by






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






7. 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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8. Less than






9. 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.






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






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. A curve in the plane






13. Remainder






14. 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.






15. LAWS FOR COMBINING NUMBERS






16. 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.






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






18. 2 -3 -4 -5 -6






19. 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






20. A number is divisible by 8 if






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






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






23. Plus






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






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






26. 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






27. 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.






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. Number X decreased by 12 divided by forty






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






31. Decreased by






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






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






34. Sum






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






36. Total






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






38. A number is divisible by 9 if






39. 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.






40. 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.






41. First axiom of equality






42. One term (5x or 4)






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






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






45. 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






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






47. 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






48. 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.






49. A number is divisible by 2 if






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






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