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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. Is an assignment of values to all the unknowns so that all of the equations are true. also called set simultaneous equations.






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






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






4. Is Written as ab or a^b






5. Applies abstract algebra to the problems of geometry






6. A + b = b + a






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






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






9. Subtraction ( - )






10. 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.






11. Division ( / )






12. The value produced is called






13. Are called the domains of the operation






14. Operations can have fewer or more than






15. (a






16. Is an equation involving integrals.






17. 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






18. k-ary operation is a






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






20. Is Written as a






21. There are two common types of operations:






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






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






24. 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)






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






26. Not associative






27. The operation of multiplication means _______________: a






28. Is an action or procedure which produces a new value from one or more input values.






29. 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)






30. If a < b and c > 0






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






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






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






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






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






36. b = b






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






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






39. Is called the type or arity of the operation






40. An equivalent for y can be deduced by using one of the two equations. Using the second equation: Subtracting 2x from each side of the equation: and multiplying by -1: Using this y value in the first equation in the original system: Adding 2 on each s






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






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






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






44. 0 - which preserves numbers: a + 0 = a






45. 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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46. If a = b and b = c then a = c






47. If a < b and c < 0






48. 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






49. 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).






50. If a = b then b = a







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