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






2. A unary operation






3. k-ary operation is a






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






5. The inner product operation on two vectors produces a






6. Is called the codomain of the operation






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






8. Is a binary relation on a set for which every element is related to itself - i.e. - a relation ~ on S where x~x holds true for every x in S. For example - ~ could be 'is equal to'.






9. Include composition and convolution






10. A + b = b + a






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






12. In which the properties of numbers are studied through algebraic systems. Number theory inspired much of the original abstraction in algebra.






13. 0 - which preserves numbers: a + 0 = a






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






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






16. If a < b and c < d






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






18. If a < b and c > 0






19. Division ( / )






20. Algebra comes from Arabic al-jebr meaning '______________'. Studies the effects of adding and multiplying numbers - variables - and polynomials - along with their factorization and determining their roots. Works directly with numbers. Also covers sym






21. Include the binary operations union and intersection and the unary operation of complementation.






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






23. (a






24. If a < b and b < c






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






26. 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.






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






28. There are two common types of operations:






29. Operations can have fewer or more than






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






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






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






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






34. Is Written as a + b






35. 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.






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






37. 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






38. 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)






39. If a < b and c < 0






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






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






42. The values combined are called






43. The operation of multiplication means _______________: a






44. Not associative






45. 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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46. Logarithm (Log)






47. 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).






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






49. Not commutative a^b?b^a






50. Is called the type or arity of the operation