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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. Is an equation involving integrals.






2. There are two common types of operations:






3. Referring to the finite number of arguments (the value k)






4. 1 - which preserves numbers: a






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






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






7. 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






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






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






10. If a < b and c < d






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






12. If a = b then b = a






13. b = b






14. Is an equation involving derivatives.






15. The values combined are called






16. A






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






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






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






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






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






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






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






24. Division ( / )






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






26. 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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27. 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).






28. A binary operation






29. The squaring operation only produces






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






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






32. Subtraction ( - )






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






34. 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






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






36. 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.






37. Operations can have fewer or more than






38. Some equations are true for all values of the involved variables (such as a + b = b + a); such equations are called






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






40. 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






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






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






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






44. The value produced is called






45. If a < b and c < 0






46. 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'.






47. 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)






48. The operation of multiplication means _______________: a






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






50. Can be added and subtracted.