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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. In which abstract algebraic methods are used to study combinatorial questions.






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






4. The squaring operation only produces






5. Logarithm (Log)






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






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






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






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






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






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






12. often express relationships between given quantities - the knowns - and quantities yet to be determined - the unknowns.






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






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






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






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






17. A binary operation






18. An operation of arity zero is simply an element of the codomain Y - called a






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






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






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






22. A unary operation






23. () 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.






24. 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






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






26. Is Written as a






27. 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'.






28. If a < b and b < c






29. Is an equation involving integrals.






30. 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.






31. Is called the type or arity of the operation






32. Can be added and subtracted.






33. Division ( / )






34. An operation of arity k is called a






35. A + b = b + a






36. Applies abstract algebra to the problems of geometry






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






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






39. 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).






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






41. Is an equation involving derivatives.






42. The operation of multiplication means _______________: a






43. (a + b) + c = a + (b + c)






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






45. There are two common types of operations:






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






47. 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)






48. Subtraction ( - )






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






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.