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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 value produced is called






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






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






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






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






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






7. A binary operation






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






9. A






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






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






12. If a < b and c < d






13. Are called the domains of the operation






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






15. Is called the type or arity of the operation






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






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






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






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






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






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






22. Is a way of solving a functional equation of two polynomials for a number of unknown parameters. It relies on the fact that two polynomials are identical precisely when all corresponding coefficients are equal. The method is used to bring formulas in






23. The operation of multiplication means _______________: a






24. Some equations are true for all values of the involved variables (such as a + b = b + a); such equations are called






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






26. Applies abstract algebra to the problems of geometry






27. 1 - which preserves numbers: a^1 = a






28. Subtraction ( - )






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






30. Is called the codomain of the operation






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






32. Operations can have fewer or more than






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






34. In which the properties of numbers are studied through algebraic systems. Number theory inspired much of the original abstraction in algebra.






35. 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)






36. 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.






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






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






39. The squaring operation only produces






40. 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.






41. The process of expressing the unknowns in terms of the knowns is called






42. Can be added and subtracted.






43. If a < b and c < 0






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






45. (a






46. Is an equation involving derivatives.






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






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






49. 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






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