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






2. Division ( / )






3. 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






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






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






6. Is Written as a + b






7. Is an equation involving derivatives.






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






9. Not associative






10. 1 - which preserves numbers: a






11. The relation of equality (=) is...reflexive: b = b; symmetric: if a = b then b = a; transitive: if a = b and b = c then a = c.






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






13. Not commutative a^b?b^a






14. (a






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. May not be defined for every possible value.






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






18. The squaring operation only produces






19. A unary operation






20. A






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






22. Transivity: if a < b and b < c then a < c; that if a < b and c < d then a + c < b + d; that if a < b and c > 0 then ac < bc; that if a < b and c < 0 then bc < ac.






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






24. The inner product operation on two vectors produces a






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






26. Is an equation in which the unknowns are functions rather than simple quantities.






27. Is called the codomain of the operation






28. Can be added and subtracted.






29. () 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.






30. Sometimes also called modern algebra - in which algebraic structures such as groups - rings and fields are axiomatically defined and investigated.






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






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






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






34. Can be defined axiomatically up to an isomorphism






35. An operation of arity k is called a






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






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






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






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. 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.






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






42. If a < b and c < d






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






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






45. 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).






46. 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






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






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






49. Are true for only some values of the involved variables: x2 - 1 = 4.






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