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






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






3. Is called the type or arity of the operation






4. Are called the domains of the operation






5. An example of solving a system of linear equations is by using the elimination method: Multiplying the terms in the second equation by 2: Adding the two equations together to get: which simplifies to Since the fact that x = 2 is known - it is then po






6. Logarithm (Log)






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






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






9. 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.






10. Can be defined axiomatically up to an isomorphism






11. () 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.






12. An operation of arity k is called a






13. Is algebraic equation of degree one






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






15. 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






16. May not be defined for every possible value.






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






18. Applies abstract algebra to the problems of geometry






19. If a < b and b < c






20. If a = b then b = a






21. Together with geometry - analysis - topology - combinatorics - and number theory - algebra is one of the main branches of






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






23. 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).






24. Can be added and subtracted.






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






26. 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)






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






28. 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)






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






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






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






32. 1 - which preserves numbers: a^1 = a






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






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






36. 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






37. A + b = b + a






38. A binary operation






39. Is an assignment of values to all the unknowns so that all of the equations are true. also called set simultaneous equations.






40. Is an equation involving integrals.






41. There are two common types of operations:






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






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






44. Subtraction ( - )






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






46. 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






47. In which abstract algebraic methods are used to study combinatorial questions.






48. A






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






50. Is called the codomain of the operation