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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. Include composition and convolution






2. 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.






3. 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






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






5. A unary operation






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






7. Is an equation involving integrals.






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






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






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






11. The relation of equality (=) is...reflexive: b = b; symmetric: if a = b then b = a; transitive: if a = b and b = c then a = c.






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






13. 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.






14. If a < b and c < d






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






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






17. Is Written as ab or a^b






18. Applies abstract algebra to the problems of geometry






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






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






21. 1 - which preserves numbers: a






22. (a






23. 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'.






24. The operation of multiplication means _______________: a






25. A binary operation






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






27. 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)






28. A






29. The squaring operation only produces






30. Is algebraic equation of degree one






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






32. An operation of arity k is called a






33. The inner product operation on two vectors produces a






34. 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.






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






36. () 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.






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






38. 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.

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






40. 0 - which preserves numbers: a + 0 = a






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






42. Are called the domains of the operation






43. A + b = b + a






44. Logarithm (Log)






45. Division ( / )






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






47. k-ary operation is a






48. b = b






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






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