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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. 1 - which preserves numbers: a






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






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






4. A + b = b + a






5. The inner product operation on two vectors produces a






6. A






7. Take two values - and include addition - subtraction - multiplication - division - and exponentiation.






8. Is algebraic equation of degree one






9. () 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.






10. Is Written as a + b






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






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






13. Not commutative a^b?b^a






14. 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.






15. May not be defined for every possible value.






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






17. If a = b then b = a






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






19. A distinction is made between the equality sign ( = ) for an equation and the equivalence symbol () for an






20. 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






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






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






23. 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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24. In which properties common to all algebraic structures are studied






25. There are two common types of operations:






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






27. If a < b and c < 0






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






29. 0 - which preserves numbers: a + 0 = a






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






31. Is Written as a






32. Logarithm (Log)






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






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






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






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






37. The operation of multiplication means _______________: a






38. Include composition and convolution






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






40. The value produced is called






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






42. 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






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






44. b = b






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






46. Not associative






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






48. Is Written as ab or a^b






49. (a






50. 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'.







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