Test your basic knowledge |

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. Not commutative a^b?b^a






2. The squaring operation only produces






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






4. 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.






5. A + b = b + a






6. Is an equation where the unknowns are required to be integers.






7. Can be added and subtracted.






8. Not associative






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






10. 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'.






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






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






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






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






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






16. The operation of multiplication means _______________: a






17. using factorization (the reverse process of which is expansion - but for two linear terms is sometimes denoted foiling).






18. Is Written as a






19. Is called the codomain of the operation






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






21. 1 - which preserves numbers: a^1 = a






22. 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






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






24. () 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.






25. The values combined are called






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






27. Is an algebraic 'sentence' containing an unknown quantity.






28. (a






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






30. An operation of arity k is called a






31. 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).






32. If a = b then b = a






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






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






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






36. Is an equation involving derivatives.






37. Is called the type or arity of the operation






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






39. A unary operation






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






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






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






43. 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.






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






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






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






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






48. The value produced is called






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






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