Test your basic knowledge |

CLEP College Algebra: Algebra Principles

Subjects : clep, math, algebra
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. Is called the type or arity of the operation






2. Can be written in terms of n-th roots: a^m/n = (nva)^m and thus even roots of negative numbers do not exist in the real number system - has the property: a^ba^c = a^b+c - has the property: (a^b)^c = a^bc - In general a^b ? b^a and (a^b)^c ? a^(b^c)






3. Letters from the beginning of the alphabet like a - b - c... often denote






4. Operations can have fewer or more than






5. using factorization (the reverse process of which is expansion - but for two linear terms is sometimes denoted foiling).






6. Is a function of the form ? : V ? Y - where V ? X1






7. Division ( / )






8. The codomain is the set of real numbers but the range is the






9. May contain numbers - variables and arithmetical operations. These are conventionally written with 'higher-power' terms on the left






10. Include the binary operations union and intersection and the unary operation of complementation.






11. Are true for only some values of the involved variables: x2 - 1 = 4.






12. A binary operation






13. A mathematical statement that asserts the equality of two expressions - this is written by placing the expressions on either side of an equals sign (=).






14. Is an equation involving only algebraic expressions in the unknowns. These are further classified by degree.






15. Are called the domains of the operation






16. Symbols that denote numbers - is to allow the making of generalizations in mathematics






17. Is an equation in which the unknowns are functions rather than simple quantities.






18. A vector can be multiplied by a scalar to form another vector






19. Is an equation involving derivatives.






20. Is an equation of the form X^m/n = a - for m - n integers - which has solution






21. Can be expressed in the form ax^2 + bx + c = 0 - where a is not zero (if it were zero - then the equation would not be quadratic but linear).






22. An operation of arity k is called a






23. Are denoted by letters at the beginning - a - b - c - d - ...






24. In an equation with a single unknown - a value of that unknown for which the equation is true is called






25. If a < b and c > 0






26. Is an equation involving a transcendental function of one of its variables.






27. In which abstract algebraic methods are used to study combinatorial questions.






28. Is a basic technique used to simplify problems in which the original variables are replaced with new ones; the new and old variables being related in some specified way.






29. Reflexive: b = b; symmetric: if a = b then b = a; transitive: if a = b and b = c then a = c.






30. Is Written as a






31. Is a squared (multiplied by itself) number subtracted from another squared number. It refers to the identity






32. 0 - which preserves numbers: a + 0 = a






33. Is an equation in which a polynomial is set equal to another polynomial.






34. Not commutative a^b?b^a






35. Is Written as ab or a^b






36. Logarithm (Log)






37. In which the properties of numbers are studied through algebraic systems. Number theory inspired much of the original abstraction in algebra.






38. A + b = b + a






39. If a = b and b = c then a = c






40. Is an equation where the unknowns are required to be integers.






41. Is an equation involving integrals.






42. The squaring operation only produces






43. That if a = b and c = d then a + c = b + d and ac = bd;that if a = b then a + c = b + c; that if two symbols are equal - then one can be substituted for the other.






44. Can be combined using logic operations - such as and - or - and not.






45. Is an equation of the form log`a^X = b for a > 0 - which has solution






46. The operation of multiplication means _______________: a






47. Is an equation of the form aX = b for a > 0 - which has solution






48. k-ary operation is a






49. Involve only one value - such as negation and trigonometric functions.






50. Can be combined using the function composition operation - performing the first rotation and then the second.