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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. Is a way of solving a functional equation of two polynomials for a number of unknown parameters. It relies on the fact that two polynomials are identical precisely when all corresponding coefficients are equal. The method is used to bring formulas in






2. k-ary operation is a






3. If an equation in algebra is known to be true - the following operations may be used to produce another true equation:






4. Is to add - subtract - multiply - or divide both sides of the equation by the same number in order to isolate the variable on one side of the equation. Once the variable is isolated - the other side of the equation is the value of the variable.






5. Is called the codomain of the operation






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






7. A binary operation






8. Division ( / )






9. The value produced is called






10. 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).






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






12. A






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






14. If a < b and b < c






15. Can be defined axiomatically up to an isomorphism






16. Are linear equations that have only one variable. They contain only constant numbers and a single variable without an exponent. For example:






17. Real numbers can be thought of as points on an infinitely long line where the points corresponding to integers are equally spaced called the






18. The operation of exponentiation means ________________: a^n = a






19. If a < b and c > 0






20. Will have two solutions in the complex number system - but need not have any in the real number system.






21. often express relationships between given quantities - the knowns - and quantities yet to be determined - the unknowns.






22. A + b = b + a






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






24. The relation of equality (=) is...reflexive: b = b; symmetric: if a = b then b = a; transitive: if a = b and b = c then a = c.






25. Is called the type or arity of the operation






26. Elementary algebraic techniques are used to rewrite a given equation in the above way before arriving at the solution. then - by subtracting 1 from both sides of the equation - and then dividing both sides by 3 we obtain






27. 0 - which preserves numbers: a + 0 = a






28. 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.

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






30. Can be added and subtracted.






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






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






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






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






35. Not associative






36. 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.






37. In which the specific properties of vector spaces are studied (including matrices)






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






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






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






41. Operations can have fewer or more than






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






43. If a < b and c < d






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






45. 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.






46. Implies that the domain of the function is a power of the codomain (i.e. the Cartesian product of one or more copies of the codomain)






47. b = b






48. Are called the domains of the operation






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






50. The squaring operation only produces