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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 Written as a + b






2. A






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






4. Not associative






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






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






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






8. 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'.






9. Can be written in terms of n-th roots: a^m/n = (nva)^m and thus even roots of negative numbers do not exist in the real number system - has the property: a^ba^c = a^b+c - has the property: (a^b)^c = a^bc - In general a^b ? b^a and (a^b)^c ? a^(b^c)






10. 1 - which preserves numbers: a






11. There are two common types of operations:






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






13. If a < b and c < d






14. b = b






15. A unary operation






16. 1 - which preserves numbers: a^1 = a






17. Is an equation involving derivatives.






18. Subtraction ( - )






19. In which properties common to all algebraic structures are studied






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






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






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






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






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






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






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






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






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






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






30. 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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31. 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.






32. If a < b and b < c






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






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






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






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






37. Is algebraic equation of degree one






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






39. Introduces the concept of variables representing numbers. Statements based on these variables are manipulated using the rules of operations that apply to numbers - such as addition. This can be done for a variety of reasons - including equation solvi






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






41. 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






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






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






45. A binary operation






46. 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.






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






48. 0 - which preserves numbers: a + 0 = a






49. 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.






50. Is called the type or arity of the operation