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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 called the type or arity of the operation






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






3. Operations can have fewer or more than






4. Not associative






5. Reflexive: b = b; symmetric: if a = b then b = a; transitive: if a = b and b = c then a = c.






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






7. 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).






8. Is called the codomain of the operation






9. 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






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






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






12. The values combined are called






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






14. If a < b and c < 0






15. Are called the domains of the operation






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






17. Logarithm (Log)






18. The squaring operation only produces






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






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






21. () 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.






22. Is algebraic equation of degree one






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






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






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






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






27. k-ary operation is a






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. The operation of multiplication means _______________: a






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






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






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






33. 1 - which preserves numbers: a^1 = a






34. The value produced is called






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






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






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






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






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






41. Applies abstract algebra to the problems of geometry






42. If a = b then b = a






43. May not be defined for every possible value.






44. Is to add - subtract - multiply - or divide both sides of the equation by the same number in order to isolate the variable on one side of the equation. Once the variable is isolated - the other side of the equation is the value of the variable.






45. An operation of arity k is called a






46. (a






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






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






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






50. 1 - which preserves numbers: a