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






2. An operation of arity k is called a






3. Is an equation involving integrals.






4. If a < b and c > 0






5. A binary operation






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






7. An example of solving a system of linear equations is by using the elimination method: Multiplying the terms in the second equation by 2: Adding the two equations together to get: which simplifies to Since the fact that x = 2 is known - it is then po






8. Logarithm (Log)






9. 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'.






10. May not be defined for every possible value.






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






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






13. b = b






14. (a






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






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






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






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






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






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






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






22. The inner product operation on two vectors produces a






23. 1 - which preserves numbers: a^1 = a






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






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






26. There are two common types of operations:






27. The values combined are called






28. Not commutative a^b?b^a






29. Is an equation in which a polynomial is set equal to another polynomial.






30. 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.






31. Subtraction ( - )






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






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






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






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






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






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






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






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






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






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






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






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






44. A + b = b + a






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






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






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






48. That 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.






49. Is algebraic equation of degree one






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