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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. Logarithm (Log)






2. 1 - which preserves numbers: a^1 = a






3. A unary operation






4. Not associative






5. 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)






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






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






8. The operation of multiplication means _______________: a






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






10. 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






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






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






13. The squaring operation only produces






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






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






16. The value produced is called






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






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






19. A binary operation






20. Is called the codomain of the operation






21. Are called the domains of the operation






22. 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.






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






24. Is to add - subtract - multiply - or divide both sides of the equation by the same number in order to isolate the variable on one side of the equation. Once the variable is isolated - the other side of the equation is the value of the variable.






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






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






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






28. Can be defined axiomatically up to an isomorphism






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






30. Include composition and convolution






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






32. k-ary operation is a






33. If a < b and c > 0






34. Transivity: if a < b and b < c then a < c; that if a < b and c < d then a + c < b + d; that if a < b and c > 0 then ac < bc; that if a < b and c < 0 then bc < ac.






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






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






37. () 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.






38. Subtraction ( - )






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






40. Is called the type or arity of the operation






41. (a






42. An operation of arity k is called a






43. 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






44. Operations can have fewer or more than






45. A






46. 0 - which preserves numbers: a + 0 = a






47. The values for which an operation is defined form a set called its






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






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






50. Not commutative a^b?b^a