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






2. Means repeated addition of ones: a + n = a + 1 + 1 +...+ 1 (n number of times) - has an inverse operation called subtraction: (a + b) - b = a - which is the same as adding a negative number - a - b = a + (-b)






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






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






5. 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.






6. If a < b and b < c






7. 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






8. Is called the type or arity of the operation






9. 1 - which preserves numbers: a






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






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






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






13. A binary operation






14. Is an equation involving derivatives.






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






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






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






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






19. An operation of arity k is called a






20. If a < b and c < d






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






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






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






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






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






26. 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.






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






28. A






29. There are two common types of operations:






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






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






32. b = b






33. Is called the codomain of the operation






34. () 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.






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






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






37. 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)






38. 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.






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






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






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






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






43. Is algebraic equation of degree one






44. Can be added and subtracted.






45. Applies abstract algebra to the problems of geometry






46. k-ary operation is a






47. The value produced is called






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






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. In which properties common to all algebraic structures are studied