Test your basic knowledge |

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






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






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






4. A number is divisible by 6 if it is






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






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






7. Plus






8. 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.






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






10. Is a number that can be expressed in the form where a and b are real numbers and i is the imaginary unit - satisfying i2 = -1. For example - -3.5 + 2i is a complex number. It is common to write a for a + 0i and bi for 0 + bi. Moreover - when the imag






11. Allow the variables in f(x -y) = 0 to be complex numbers; then f(x -y) = 0 defines a 2-dimensional surface in (projective) 4-dimensional space (since two complex variables can be decomposed into four real variables - i.e. - four dimensions). Count th






12. The number of digits in an integer indicates its rank; that is - whether it is 'in the hundreds -' 'in the thousands -' etc. The idea of ranking numbers in terms of tens - hundreds - thousands - etc. - is based on the






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






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






15. 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.






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






17. 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.






18. 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






19. LAWS FOR COMBINING NUMBERS






20. 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.






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






22. Quotient






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






24. Sum






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






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






28. 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.






29. One term (5x or 4)






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






31. Sixteen less than number Q






32. A number is divisible by 5 if its






33. 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






34. A number is divisible by 3 if






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






36. More than






37. A number is divisible by 9 if






38. 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.






39. A number is divisible by 2 if






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






41. 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






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






43. Increased by






44. A curve in the plane






45. 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.






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






47. A number is divisible by 4 if






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






49. 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:






50. 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.