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






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






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






4. Is Written as a + b






5. The squaring operation only produces






6. Not commutative a^b?b^a






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






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






9. The operation of multiplication means _______________: a






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






11. 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'.






12. 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






13. 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)






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






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






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






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






18. 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.






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






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






21. A binary operation






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






23. Applies abstract algebra to the problems of geometry






24. Parenthesis and other grouping symbols including brackets - absolute value symbols - and the fraction bar - exponents and roots - multiplication and division - addition and subtraction






25. May not be defined for every possible value.






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. () 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.






28. If a < b and c < d






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






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






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






32. The value produced is called






33. If a = b then b = a






34. Are called the domains of the operation






35. Can be combined using logic operations - such as and - or - and not.






36. 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).






37. 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






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






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






40. 1 - which preserves numbers: a






41. Sometimes also called modern algebra - in which algebraic structures such as groups - rings and fields are axiomatically defined and investigated.






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






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






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






46. Logarithm (Log)






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






48. If a < b and c > 0






49. A






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







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