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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. The squaring operation only produces






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






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






4. A unary operation






5. If a < b and c > 0






6. 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






7. If a < b and c < 0






8. If a < b and c < d






9. Is Written as ab or a^b






10. Operations can have fewer or more than






11. Symbols that denote numbers - is to allow the making of generalizations in mathematics






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






13. If a < b and b < c






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






15. If a = b then b = a






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






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






18. k-ary operation is a






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






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






21. Transivity: if a < b and b < c then a < c; that if a < b and c < d then a + c < b + d; that if a < b and c > 0 then ac < bc; that if a < b and c < 0 then bc < ac.






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






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






24. The value produced is called






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






26. Division ( / )






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






28. 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)






29. Is Written as a






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






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






32. The operation of multiplication means _______________: a






33. Is called the type or arity of the operation






34. The values combined are called






35. Real numbers can be thought of as points on an infinitely long line where the points corresponding to integers are equally spaced called the






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






37. Introduces the concept of variables representing numbers. Statements based on these variables are manipulated using the rules of operations that apply to numbers - such as addition. This can be done for a variety of reasons - including equation solvi






38. 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'.






39. (a






40. b = b






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






42. A






43. A binary operation






44. The relation of equality (=) is...reflexive: b = b; symmetric: if a = b then b = a; transitive: if a = b and b = c then a = c.






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






46. 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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47. If a = b and b = c then a = c






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






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






50. Applies abstract algebra to the problems of geometry