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






2. Two equations in two variables - it is often possible to find the solutions of both variables that satisfy both equations.






3. 0 - which preserves numbers: a + 0 = a






4. 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.






5. A + b = b + a






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






7. Not associative






8. Is Written as a






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






10. Not commutative a^b?b^a






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






12. Applies abstract algebra to the problems of geometry






13. 1 - which preserves numbers: a^1 = a






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






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






16. Is Written as ab or a^b






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






18. Include composition and convolution






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






20. The operation of exponentiation means ________________: a^n = a






21. Is called the type or arity of the operation






22. If a < b and c > 0






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






24. The inner product operation on two vectors produces a






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






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






27. 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






28. b = b






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






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






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






32. Are called the domains of the operation






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






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






35. Logarithm (Log)






36. 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'.






37. If a < b and c < 0






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






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






40. () 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.






41. 1 - which preserves numbers: a






42. Operations can have fewer or more than






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






44. Is called the codomain of the operation






45. k-ary operation is a






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






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






48. Is an equation involving derivatives.






49. Can be expressed in the form ax^2 + bx + c = 0 - where a is not zero (if it were zero - then the equation would not be quadratic but linear).






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