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






2. The values combined are called






3. Is called the type or arity of the operation






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






5. An operation of arity zero is simply an element of the codomain Y - called a






6. b = b






7. Is an algebraic 'sentence' containing an unknown quantity.






8. () is the branch of mathematics concerning the study of the rules of operations and relations - and the constructions and concepts arising from them - including terms - polynomials - equations and algebraic structures.






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






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






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






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






13. (a






14. Not commutative a^b?b^a






15. The inner product operation on two vectors produces a






16. An example of solving a system of linear equations is by using the elimination method: Multiplying the terms in the second equation by 2: Adding the two equations together to get: which simplifies to Since the fact that x = 2 is known - it is then po






17. Is an equation involving integrals.






18. Is synonymous with function - map and mapping - that is - a relation - for which each element of the domain (input set) is associated with exactly one element of the codomain (set of possible outputs).






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






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






21. 0 - which preserves numbers: a + 0 = a






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






23. Is an action or procedure which produces a new value from one or more input values.






24. If it holds for all a and b in X that if a is related to b then b is related to a.






25. Together with geometry - analysis - topology - combinatorics - and number theory - algebra is one of the main branches of






26. Include composition and convolution






27. If a < b and c > 0






28. A






29. May not be defined for every possible value.






30. Is Written as ab or a^b






31. Can be added and subtracted.






32. 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.






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






34. In which properties common to all algebraic structures are studied






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






36. If a < b and c < 0






37. Sometimes also called modern algebra - in which algebraic structures such as groups - rings and fields are axiomatically defined and investigated.






38. A unary operation






39. Elementary algebra - Abstract algebra - Linear algebra - Universal algebra - Algebraic number theory - Algebraic geometry - Algebraic combinatorics






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






41. Transivity: if a < b and b < c then a < c; that if a < b and c < d then a + c < b + d; that if a < b and c > 0 then ac < bc; that if a < b and c < 0 then bc < ac.






42. There are two common types of operations:






43. Symbols that denote numbers - letters from the end of the alphabet - like ...x - y - z - are usually reserved for the






44. The process of expressing the unknowns in terms of the knowns is called






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






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






47. Take two values - and include addition - subtraction - multiplication - division - and exponentiation.






48. Operations can have fewer or more than






49. Is Written as a






50. An operation of arity k is called a