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






2. Is called the codomain of the operation






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






4. Is an equation involving derivatives.






5. A + b = b + a






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






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






8. Subtraction ( - )






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






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






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






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






13. May not be defined for every possible value.






14. Division ( / )






15. 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






16. 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






17. A binary operation






18. Is called the type or arity of the operation






19. 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)






20. 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)






21. The values combined are called






22. Logarithm (Log)






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






24. If a < b and c < d






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






26. Is a binary relation on a set for which every element is related to itself - i.e. - a relation ~ on S where x~x holds true for every x in S. For example - ~ could be 'is equal to'.






27. The value produced is called






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






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






30. 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






31. If a < b and c > 0






32. 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






33. 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).






34. 1 - which preserves numbers: a^1 = a






35. A






36. Is Written as a






37. There are two common types of operations:






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






39. Are called the domains of the operation






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






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






42. If an equation in algebra is known to be true - the following operations may be used to produce another true equation:






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






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






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






47. The operation of multiplication means _______________: a






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






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






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