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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. Logarithm (Log)






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






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






4. 1 - which preserves numbers: a^1 = a






5. Is Written as a + b






6. The value produced is called






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






8. Is called the type or arity of the operation






9. Not associative






10. b = b






11. 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)






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






13. A + b = b + a






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






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






16. 1 - which preserves numbers: a






17. Is called the codomain of the operation






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






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






20. If a < b and b < c






21. k-ary operation is a






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






23. A binary operation






24. 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






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






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






27. 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).






28. 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






29. An operation of arity zero is simply an element of the codomain Y - called a






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






31. Is Written as a






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






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






34. 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






35. (a






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






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






38. 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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39. 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.






40. Not commutative a^b?b^a






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






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






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






44. Operations can have fewer or more than






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






46. If a < b and c < 0






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






48. 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






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






50. The squaring operation only produces