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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. 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






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






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






4. 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






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






6. The relative greatness of positive and negative numbers






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






8. Studies algebraic properties and algebraic objects of interest in number theory. (Thus - analytic and algebraic number theory can and do overlap: the former is defined by its methods - the latter by its objects of study.) A key topic is that of the a






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






10. Less than






11. A number is divisible by 8 if






12. 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






13. Number T increased by 9






14. The Arabic numerals from 0 through 9 are called






15. Decreased by






16. First axiom of equality






17. 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.






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






19. 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.






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






21. Number X decreased by 12 divided by forty






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






23. 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






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






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






26. 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.






27. One term (5x or 4)






28. 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.






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






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






31. 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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32. 2 -3 -4 -5 -6






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






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






35. 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:






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






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






38. 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






39. Increased by






40. 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.






41. 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.






42. Sum






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






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






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






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






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






48. The set of all complex numbers is denoted by






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






50. Remainder







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