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






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






3. A vector can be multiplied by a scalar to form another vector






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






5. Include composition and convolution






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






7. Is Written as ab or a^b






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






9. Is called the type or arity of the operation






10. A






11. Subtraction ( - )






12. The squaring operation only produces






13. If a = b then b = a






14. A value that represents a quantity along a continuum - such as -5 (an integer) - 4/3 (a rational number that is not an integer) - 8.6 (a rational number given by a finite decimal representation) - v2 (the square root of two - an algebraic number that






15. b = b






16. Applies abstract algebra to the problems of geometry






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






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






19. Division ( / )






20. 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






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






22. Is called the codomain of the operation






23. If a < b and c > 0






24. The inner product operation on two vectors produces a






25. Is an equation of the form X^m/n = a - for m - n integers - which has solution






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






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






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






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






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






31. 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






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






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






34. () 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.






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






36. Is Written as a






37. 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)






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






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






40. 1 - which preserves numbers: a^1 = a






41. 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)






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






43. Logarithm (Log)






44. Is an equation of the form aX = b for a > 0 - which has solution






45. The operation of multiplication means _______________: a






46. An operation of arity k is called a






47. The value produced is called






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






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






50. 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.

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