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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 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






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






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






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






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






6. Is an equation involving derivatives.






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






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






9. Is algebraic equation of degree one






10. Division ( / )






11. The values combined are called






12. 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)






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






14. Is called the type or arity of the operation






15. A unary operation






16. If a = b then b = a






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






18. If a < b and b < c






19. Is called the codomain of the operation






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






21. Include composition and convolution






22. 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






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






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






25. Not commutative a^b?b^a






26. 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.






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






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






29. Are called the domains of the operation






30. The value produced is called






31. A distinction is made between the equality sign ( = ) for an equation and the equivalence symbol () for an






32. 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).






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






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






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






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






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






38. Is Written as a






39. Can be defined axiomatically up to an isomorphism






40. A + b = b + a






41. If a < b and c < 0






42. Subtraction ( - )






43. 1 - which preserves numbers: a






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






45. A binary operation






46. () 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.






47. An operation of arity k is called a






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






49. If a < b and c > 0






50. 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)