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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. An operation of arity k is called a






3. A unary operation






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






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






7. 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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8. 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.






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






10. Is Written as a + b






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






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






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






14. Not commutative a^b?b^a






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






16. 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.






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






18. Can be expressed in the form ax^2 + bx + c = 0 - where a is not zero (if it were zero - then the equation would not be quadratic but linear).






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






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






21. b = b






22. 1 - which preserves numbers: a






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






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






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






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






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






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






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






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






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






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






35. Subtraction ( - )






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






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






38. Take two values - and include addition - subtraction - multiplication - division - and exponentiation.






39. If a < b and b < c






40. Is Written as a






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






42. 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






43. 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






44. If a = b then b = a






45. 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.






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






47. Is algebraic equation of degree one






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






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






50. There are two common types of operations:







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