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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. Is called the type or arity of the operation






2. There are two common types of operations:






3. 0 - which preserves numbers: a + 0 = a






4. b = b






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






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






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






8. Logarithm (Log)






9. Is an equation involving integrals.






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






11. An operation of arity k is called a






12. A + b = b + a






13. Are called the domains of the operation






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






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






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






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






18. () 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.






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






20. Division ( / )






21. May contain numbers - variables and arithmetical operations. These are conventionally written with 'higher-power' terms on the left






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






23. 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






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






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






26. If a = b then b = a






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






28. Is called the codomain of the operation






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






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






31. Elementary algebraic techniques are used to rewrite a given equation in the above way before arriving at the solution. then - by subtracting 1 from both sides of the equation - and then dividing both sides by 3 we obtain






32. 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.






33. The operation of multiplication means _______________: a






34. Means repeated addition of ones: a + n = a + 1 + 1 +...+ 1 (n number of times) - has an inverse operation called subtraction: (a + b) - b = a - which is the same as adding a negative number - a - b = a + (-b)






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






36. A unary operation






37. 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'.






38. 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






39. Is Written as a + b






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






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






42. If a < b and b < c






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






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






45. If a < b and c < d






46. 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.






47. 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






48. If a < b and c < 0






49. May not be defined for every possible value.






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







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