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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. 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).






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






3. Can be added and subtracted.






4. 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






5. Is an equation involving derivatives.






6. If a = b then b = a






7. A






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






9. If a < b and b < c






10. Are called the domains of the operation






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






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






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






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






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






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






17. 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).






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






19. That 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.






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






21. In which the specific properties of vector spaces are studied (including matrices)






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






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






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






25. 1 - which preserves numbers: a^1 = a






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






27. If a < b and c > 0






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






29. 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






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






31. 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






32. Are linear equations that have only one variable. They contain only constant numbers and a single variable without an exponent. For example:






33. A + b = b + a






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






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






36. k-ary operation is a






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






38. Not commutative a^b?b^a






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






40. (a + b) + c = a + (b + c)






41. 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.






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






43. 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.






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






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






46. Is Written as ab or a^b






47. The inner product operation on two vectors produces a






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






49. Is an equation involving integrals.






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







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