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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. A






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






3. If a < b and c > 0






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






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






6. b = b






7. Is called the codomain of the operation






8. 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)






9. If a = b then b = a






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






11. 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'.






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






13. 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






14. 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)






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






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






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






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






19. The inner product operation on two vectors produces a






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






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






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






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






24. The value produced is called






25. Can be added and subtracted.






26. () 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.






27. Division ( / )






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






29. A value that represents a quantity along a continuum - such as -5 (an integer) - 4/3 (a rational number that is not an integer) - 8.6 (a rational number given by a finite decimal representation) - v2 (the square root of two - an algebraic number that






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






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






32. 0 - which preserves numbers: a + 0 = a






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






34. A binary operation






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






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






37. A unary operation






38. Is an equation involving derivatives.






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






40. Can be defined axiomatically up to an isomorphism






41. If a < b and c < 0






42. Is Written as a + b






43. 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.






44. The squaring operation only produces






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






46. The values combined are called






47. If a < b and b < c






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






49. There are two common types of operations:






50. 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.