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






3. 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)






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






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






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






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






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






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






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






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






12. 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.


13. Not commutative a^b?b^a






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






15. A value that represents a quantity along a continuum - such as -5 (an integer) - 4/3 (a rational number that is not an integer) - 8.6 (a rational number given by a finite decimal representation) - v2 (the square root of two - an algebraic number that






16. A






17. Is Written as a






18. 0 - which preserves numbers: a + 0 = a






19. Can be added and subtracted.






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






21. 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.






22. The squaring operation only produces






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






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






25. 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)






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






27. Is Written as ab or a^b






28. (a






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






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






31. b = b






32. A + b = b + a






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






34. An operation of arity k is called a






35. Is a way of solving a functional equation of two polynomials for a number of unknown parameters. It relies on the fact that two polynomials are identical precisely when all corresponding coefficients are equal. The method is used to bring formulas in






36. Operations can have fewer or more than






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






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






39. May not be defined for every possible value.






40. Is called the codomain of the operation






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. Division ( / )






43. 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.






44. Parenthesis and other grouping symbols including brackets - absolute value symbols - and the fraction bar - exponents and roots - multiplication and division - addition and subtraction






45. 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.






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






47. 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.






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






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






50. A unary operation