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. The squaring operation only produces






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






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






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






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






6. 1 - which preserves numbers: a^1 = a






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






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






9. Is algebraic equation of degree one






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






11. A binary operation






12. Can be added and subtracted.






13. 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






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






15. Elementary algebra - Abstract algebra - Linear algebra - Universal algebra - Algebraic number theory - Algebraic geometry - Algebraic combinatorics






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






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






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






19. May not be defined for every possible value.






20. 0 - which preserves numbers: a + 0 = a






21. Can be defined axiomatically up to an isomorphism






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






23. Subtraction ( - )






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






25. Include composition and convolution






26. The operation of multiplication means _______________: a






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






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






29. Is an equation involving integrals.






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






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






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






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






34. If a < b and c < 0






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






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






37. 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






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






39. 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.






40. 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'.






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






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






43. 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)






44. 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)






45. 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).






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






47. 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


48. 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






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






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