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






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






3. Is an equation involving derivatives.






4. If a < b and c < d






5. The operation of multiplication means _______________: a






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






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






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






9. Is an assignment of values to all the unknowns so that all of the equations are true. also called set simultaneous equations.






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






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






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






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






14. 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






15. 1 - which preserves numbers: a






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






17. If a = b then b = a






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






19. 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






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






21. If a < b and b < c






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






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






24. The inner product operation on two vectors produces a






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






26. Include composition and convolution






27. Applies abstract algebra to the problems of geometry






28. Two equations in two variables - it is often possible to find the solutions of both variables that satisfy both equations.






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






30. 1 - which preserves numbers: a^1 = a






31. Not associative






32. b = b






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






34. Is called the type or arity of the operation






35. Is a basic technique used to simplify problems in which the original variables are replaced with new ones; the new and old variables being related in some specified way.






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. The squaring operation only produces






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






39. 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.






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






41. 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'.






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






43. (a






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






45. Can be defined axiomatically up to an isomorphism






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






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






48. 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






49. Logarithm (Log)






50. Subtraction ( - )







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