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






2. Division ( / )






3. () 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.






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






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






6. 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).






7. 0 - which preserves numbers: a + 0 = a






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






9. Means repeated addition of ones: a + n = a + 1 + 1 +...+ 1 (n number of times) - has an inverse operation called subtraction: (a + b) - b = a - which is the same as adding a negative number - a - b = a + (-b)






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






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






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






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






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






15. 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






16. An operation of arity k is called a






17. Operations can have fewer or more than






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






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






20. 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)






21. Is an equation involving integrals.






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






23. A unary operation






24. 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.






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






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






27. Are linear equations that have only one variable. They contain only constant numbers and a single variable without an exponent. For example:






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






29. 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.






30. The values combined are called






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






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






33. Is Written as ab or a^b






34. Is called the type or arity of the operation






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






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






37. A binary operation






38. (a






39. Is algebraic equation of degree one






40. If a < b and c < 0






41. May contain numbers - variables and arithmetical operations. These are conventionally written with 'higher-power' terms on the left






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






43. If a < b and c < d






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






45. 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.






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






47. There are two common types of operations:






48. May not be defined for every possible value.






49. Not associative






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