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






2. A mathematical statement that asserts the equality of two expressions - this is written by placing the expressions on either side of an equals sign (=).






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






4. Is an equation involving a transcendental function of one of its variables.






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






6. May not be defined for every possible value.






7. Implies that the domain of the function is a power of the codomain (i.e. the Cartesian product of one or more copies of the codomain)






8. The codomain is the set of real numbers but the range is the






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






10. 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.






11. A unary operation






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






13. Is called the type or arity of the operation






14. 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






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






16. () 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.






17. 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.






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






19. A binary operation






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






21. The operation of multiplication means _______________: a






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






23. k-ary operation is a






24. Is Written as ab or a^b






25. Is an equation involving integrals.






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






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






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






29. The values of the variables which make the equation true are the solutions of the equation and can be found through






30. A + b = b + a






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






32. If a < b and b < c






33. Can be defined axiomatically up to an isomorphism






34. 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).






35. Can be added and subtracted.






36. (a






37. 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.






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






39. Division ( / )






40. Not associative






41. 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.






42. If a < b and c < 0






43. If a < b and c > 0






44. b = b






45. The squaring operation only produces






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






47. If a = b then b = a






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






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






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