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






2. Remainder






3. Less than






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






5. A number is divisible by 3 if






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






7. 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.






8. Subtraction






9. 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.






10. Decreased by






11. The set of all complex numbers is denoted by






12. 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.






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






14. Total






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






16. LAWS FOR COMBINING NUMBERS






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






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






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






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






21. 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.






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






23. In terms of its tools - as the study of the integers by means of tools from real and complex analysis - in terms of its concerns - as the study within number theory of estimates on size and density - as opposed to identities.






24. 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.






25. Plus






26. A number is divisible by 8 if






27. A number is divisible by 2 if






28. 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






29. 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.






30. Are used to indicate sets






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






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. Sum






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






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






36. 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






37. 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:






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. 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






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. 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






42. Product






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






44. 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.






45. Increased by






46. 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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47. Number T increased by 9






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






49. Sixteen less than number Q






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