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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. There are two common types of operations:






2. In an equation with a single unknown - a value of that unknown for which the equation is true is called






3. The inner product operation on two vectors produces a






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






5. The value produced is called






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






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






8. If a < b and c > 0






9. Is an equation involving derivatives.






10. Is Written as a






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






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






13. Applies abstract algebra to the problems of geometry






14. 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.






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






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






17. 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)






18. b = b






19. A






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






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






22. The values combined are called






23. Is an equation involving a transcendental function of one of its variables.






24. If a = b and b = c then a = c






25. using factorization (the reverse process of which is expansion - but for two linear terms is sometimes denoted foiling).






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






27. 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






28. Is algebraic equation of degree one






29. May contain numbers - variables and arithmetical operations. These are conventionally written with 'higher-power' terms on the left






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






31. Include composition and convolution






32. 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






33. Logarithm (Log)






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






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






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






37. The operation of multiplication means _______________: a






38. An operation of arity k is called a






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






40. The squaring operation only produces






41. Are called the domains of the operation






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






43. Is called the codomain of the operation






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






45. Subtraction ( - )






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






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






48. Operations can have fewer or more than






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






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







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