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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. The squaring operation only produces






2. Logarithm (Log)






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






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






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






6. Real numbers can be thought of as points on an infinitely long line where the points corresponding to integers are equally spaced called the






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






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






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






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






11. Can be defined axiomatically up to an isomorphism






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






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






14. If a < b and c < 0






15. The value produced is called






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






17. The inner product operation on two vectors produces a






18. Is algebraic equation of degree one






19. Include composition and convolution






20. Not associative






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






22. An operation of arity k is called a






23. Are called the domains of the operation






24. Division ( / )






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






26. If a < b and c > 0






27. Is Written as a + b






28. Is an equation involving integrals.






29. 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.






30. 0 - which preserves numbers: a + 0 = a






31. 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.






32. 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






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






34. 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






35. 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.






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






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






39. The operation of multiplication means _______________: a






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






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






42. () 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.






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






44. Is an equation involving derivatives.






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






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






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






48. Is Written as a






49. 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.






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