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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. k-ary operation is a






2. The values combined are called






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






4. The squaring operation only produces






5. 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.






6. Not commutative a^b?b^a






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






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






9. Two equations in two variables - it is often possible to find the solutions of both variables that satisfy both equations.






10. Is called the codomain of the operation






11. Subtraction ( - )






12. Is Written as a






13. Some equations are true for all values of the involved variables (such as a + b = b + a); such equations are called






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






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






16. If a < b and b < c






17. The values for which an operation is defined form a set called its






18. 1 - which preserves numbers: a^1 = a






19. 0 - which preserves numbers: a + 0 = a






20. Is the claim that two expressions have the same value and are equal.






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






22. (a + b) + c = a + (b + c)






23. 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).






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






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






26. A






27. The inner product operation on two vectors produces a






28. The values of the variables which make the equation true are the solutions of the equation and can be found through






29. Is Written as a + b






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






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






32. Operations can have fewer or more than






33. 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.






34. Not associative






35. The set which contains the values produced is called the codomain - but the set of actual values attained by the operation is its






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






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






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






39. 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.






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






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






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






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






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






45. Referring to the finite number of arguments (the value k)






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






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






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






49. Are denoted by letters at the end of the alphabet - x - y - z - w - ...






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