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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. The operation of multiplication means _______________: a






2. 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






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






4. Can be added and subtracted.






5. May not be defined for every possible value.






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






7. Is called the codomain of the operation






8. 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.






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






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






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






12. (a






13. 0 - which preserves numbers: a + 0 = a






14. 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).






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






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






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






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






19. 1 - which preserves numbers: a






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






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






22. Is an equation of the form X^m/n = a - for m - n integers - which has solution






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






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






25. If a < b and c < 0






26. The value produced is called






27. Transivity: if a < b and b < c then a < c; that if a < b and c < d then a + c < b + d; that if a < b and c > 0 then ac < bc; that if a < b and c < 0 then bc < ac.






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






29. A unary operation






30. Can be defined axiomatically up to an isomorphism






31. If a < b and b < c






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






33. Is an equation involving derivatives.






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






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






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






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






38. Implies that the domain of the function is a power of the codomain (i.e. the Cartesian product of one or more copies of the codomain)






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






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






41. 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






42. The squaring operation only produces






43. Is Written as a






44. Is Written as a + b






45. If a < b and c > 0






46. b = b






47. Are called the domains of the operation






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 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'.






50. A