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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. If a < b and b < c






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






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






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






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






6. The values combined are called






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






8. Operations can have fewer or more than






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






10. If a = b then b = a






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






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






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






14. 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.






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






16. Include composition and convolution






17. Is Written as a






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






19. A






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






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






22. There are two common types of operations:






23. Subtraction ( - )






24. 1 - which preserves numbers: a






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






26. The operation of multiplication means _______________: a






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






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






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






30. Not associative






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






32. 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).






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






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






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






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






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






38. 1 - which preserves numbers: a^1 = a






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






40. A value that represents a quantity along a continuum - such as -5 (an integer) - 4/3 (a rational number that is not an integer) - 8.6 (a rational number given by a finite decimal representation) - v2 (the square root of two - an algebraic number that






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






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






43. Is called the codomain of the operation






44. Is Written as ab or a^b






45. Is an equation involving derivatives.






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






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






48. (a






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






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