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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. Can be defined axiomatically up to an isomorphism






2. May not be defined for every possible value.






3. Include composition and convolution






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






5. The values for which an operation is defined form a set called its






6. 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






7. If a = b then b = a






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






9. Subtraction ( - )






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






11. 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)






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






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






14. 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






15. If a < b and c < d






16. A + b = b + a






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






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






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






20. 0 - which preserves numbers: a + 0 = a






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






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






23. Is called the codomain of the operation






24. Operations can have fewer or more than






25. There are two common types of operations:






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






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






28. Not commutative a^b?b^a






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






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






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. A






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






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






35. () 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.






36. If a < b and b < c






37. Is called the type or arity of the operation






38. Is an equation involving integrals.






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






40. 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.






41. 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






42. Letters from the beginning of the alphabet like a - b - c... often denote






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






44. 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)






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






46. The operation of exponentiation means ________________: a^n = a






47. 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).






48. An equivalent for y can be deduced by using one of the two equations. Using the second equation: Subtracting 2x from each side of the equation: and multiplying by -1: Using this y value in the first equation in the original system: Adding 2 on each s






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






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