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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 an algebraic 'sentence' containing an unknown quantity.






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






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






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






5. If a < b and c < d






6. Applies abstract algebra to the problems of geometry






7. Is Written as a






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






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






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






11. May not be defined for every possible value.






12. Is Written as ab or a^b






13. Algebra comes from Arabic al-jebr meaning '______________'. Studies the effects of adding and multiplying numbers - variables - and polynomials - along with their factorization and determining their roots. Works directly with numbers. Also covers sym






14. If an equation in algebra is known to be true - the following operations may be used to produce another true equation:






15. The value produced is called






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






17. Not commutative a^b?b^a






18. () 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.






19. Is called the codomain of the operation






20. The squaring operation only produces






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






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






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






24. Can be defined axiomatically up to an isomorphism






25. A binary operation






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






28. 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.






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






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






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






32. 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






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






34. Subtraction ( - )






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






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






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






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






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






40. A






41. The values combined are called






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






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






44. Is an equation involving integrals.






45. Include composition and convolution






46. Is an equation involving only algebraic expressions in the unknowns. These are further classified by degree.






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






48. If a < b and c < 0






49. Is called the type or arity of the operation






50. Is an equation involving derivatives.