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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. 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).






2. 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.






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






4. Is an equation involving derivatives.






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






6. The squaring operation only produces






7. The value produced is called






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






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






10. If a = b then b = a






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






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






13. (a + b) + c = a + (b + c)






14. Include composition and convolution






15. Not associative






16. Operations can have fewer or more than






17. k-ary operation is a






18. Is an equation involving integrals.






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






20. Can be defined axiomatically up to an isomorphism






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






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






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






24. 0 - which preserves numbers: a + 0 = a






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






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






28. 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.






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






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






31. Is called the type or arity of the operation






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






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






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






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






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






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






38. There are two common types of operations:






39. 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.






40. Is an algebraic 'sentence' containing an unknown quantity.






41. Can be added and subtracted.






42. May not be defined for every possible value.






43. 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)






44. Can be expressed in the form ax^2 + bx + c = 0 - where a is not zero (if it were zero - then the equation would not be quadratic but linear).






45. Is Written as a + b






46. 1 - which preserves numbers: a^1 = a






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






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






49. A binary operation






50. If it holds for all a and b in X that if a is related to b then b is related to a.