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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 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.






4. Is called the codomain of the operation






5. Introduces the concept of variables representing numbers. Statements based on these variables are manipulated using the rules of operations that apply to numbers - such as addition. This can be done for a variety of reasons - including equation solvi






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






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






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






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






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






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






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






13. If a = b then b = a






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






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






16. 0 - which preserves numbers: a + 0 = a






17. Applies abstract algebra to the problems of geometry






18. 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






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






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






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






22. Can be defined axiomatically up to an isomorphism






23. A binary operation






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






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






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






27. The inner product operation on two vectors produces a






28. Not commutative a^b?b^a






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






30. Is an assignment of values to all the unknowns so that all of the equations are true. also called set simultaneous equations.






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






32. Division ( / )






33. 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.






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






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






36. 1 - which preserves numbers: a






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






38. The operation of multiplication means _______________: a






39. 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)






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






41. An operation of arity k is called a






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






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






44. Is called the type or arity of the operation






45. 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






46. (a






47. A + b = b + a






48. Is Written as ab or a^b






49. 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.






50. Subtraction ( - )







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