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






2. May not be defined for every possible value.






3. If a < b and b < c






4. 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.






5. Is Written as a






6. Is called the codomain of the operation






7. A unary operation






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






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






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






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






12. The squaring operation only produces






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






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






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






16. (a






17. k-ary operation is a






18. Subtraction ( - )






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






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






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






22. 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'.






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






24. The operation of multiplication means _______________: a






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






26. Not commutative a^b?b^a






27. Are called the domains of the operation






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






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






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






31. The inner product operation on two vectors produces a






32. An equivalent for y can be deduced by using one of the two equations. Using the second equation: Subtracting 2x from each side of the equation: and multiplying by -1: Using this y value in the first equation in the original system: Adding 2 on each s






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






34. 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.






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






37. Can be defined axiomatically up to an isomorphism






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






39. If a < b and c < d






40. If a < b and c > 0






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






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






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






44. An example of solving a system of linear equations is by using the elimination method: Multiplying the terms in the second equation by 2: Adding the two equations together to get: which simplifies to Since the fact that x = 2 is known - it is then po






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






46. A binary operation






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






48. Can be added and subtracted.






49. If a = b then b = a






50. Include composition and convolution