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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 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'.






2. 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)






3. If a < b and b < c






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






5. Is an equation involving derivatives.






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






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






8. 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.






9. The inner product operation on two vectors produces a






10. 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






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






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






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






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






15. 1 - which preserves numbers: a^1 = a






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






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






18. If a < b and c > 0






19. Is Written as ab or a^b






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






21. Division ( / )






22. The operation of multiplication means _______________: a






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






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






25. () 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.






26. b = b






27. Is algebraic equation of degree one






28. If a < b and c < d






29. Is a way of solving a functional equation of two polynomials for a number of unknown parameters. It relies on the fact that two polynomials are identical precisely when all corresponding coefficients are equal. The method is used to bring formulas in






30. Not associative






31. If a < b and c < 0






32. Can be defined axiomatically up to an isomorphism






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






34. The squaring operation only produces






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






36. 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






37. In which the specific properties of vector spaces are studied (including matrices)






38. Is Written as a + b






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






40. There are two common types of operations:






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






42. A unary operation






43. 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)






44. Not commutative a^b?b^a






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






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






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






48. May not be defined for every possible value.






49. Applies abstract algebra to the problems of geometry






50. Parenthesis and other grouping symbols including brackets - absolute value symbols - and the fraction bar - exponents and roots - multiplication and division - addition and subtraction







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