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






2. 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.

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


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






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






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






6. 0 - which preserves numbers: a + 0 = a






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






8. Division ( / )






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






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






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






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






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






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






15. 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






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






17. Is algebraic equation of degree one






18. k-ary operation is a






19. The value produced is called






20. Can be defined axiomatically up to an isomorphism






21. 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






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






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






24. Is called the type or arity of the operation






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






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






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






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






29. 1 - which preserves numbers: a






30. Is Written as a






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






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






33. () 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.






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






35. Means repeated addition of ones: a + n = a + 1 + 1 +...+ 1 (n number of times) - has an inverse operation called subtraction: (a + b) - b = a - which is the same as adding a negative number - a - b = a + (-b)






36. Is an equation involving derivatives.






37. Is Written as a + b






38. If a < b and b < c






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






40. The operation of multiplication means _______________: a






41. 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.






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






43. Applies abstract algebra to the problems of geometry






44. If a < b and c < 0






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






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






48. 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






49. b = b






50. Is Written as ab or a^b