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






2. Include composition and convolution






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






4. Can be added and subtracted.






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






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






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






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






9. If a < b and c > 0






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






11. Is Written as a + b






12. An operation of arity k is called a






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






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






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






16. 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'.






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






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






19. Is called the codomain of the operation






20. Can be defined axiomatically up to an isomorphism






21. If a < b and c < d






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






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






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






25. A + b = b + a






26. 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






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






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






30. A binary operation






31. The inner product operation on two vectors produces a






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






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






34. Is Written as a






35. Is a squared (multiplied by itself) number subtracted from another squared number. It refers to the identity






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






37. There are two common types of operations:






38. The operation of multiplication means _______________: a






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






40. Logarithm (Log)






41. Is an equation of the form aX = b for a > 0 - which has solution






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






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






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






45. 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)






46. Is to add - subtract - multiply - or divide both sides of the equation by the same number in order to isolate the variable on one side of the equation. Once the variable is isolated - the other side of the equation is the value of the variable.






47. May not be defined for every possible value.






48. A unary operation






49. Applies abstract algebra to the problems of geometry






50. Division ( / )







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