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






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






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






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






5. 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






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






7. Not commutative a^b?b^a






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






9. The values combined are called






10. Is an equation involving integrals.






11. The inner product operation on two vectors produces a






12. There are two common types of operations:






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






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






15. Logarithm (Log)






16. 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)






17. An operation of arity k is called a






18. The value produced is called






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






20. k-ary operation is a






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






22. Subtraction ( - )






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






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






25. If a < b and c < 0






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






27. The operation of multiplication means _______________: a






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






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






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






31. May not be defined for every possible value.






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






33. Include composition and convolution






34. Is called the type or arity of the operation






35. 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.






36. Can be defined axiomatically up to an isomorphism






37. Is algebraic equation of degree one






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






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






40. Is an equation involving derivatives.






41. The process of expressing the unknowns in terms of the knowns is called






42. 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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43. Operations can have fewer or more than






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






45. Can be added and subtracted.






46. 0 - which preserves numbers: a + 0 = a






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






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






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






50. 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