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






2. Applies abstract algebra to the problems of geometry






3. Can be defined axiomatically up to an isomorphism






4. 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'.






5. Not commutative a^b?b^a






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






7. The values combined are called






8. Is called the codomain of the operation






9. 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






10. 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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11. Is an equation involving derivatives.






12. 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.






13. Is Written as ab or a^b






14. If a = b then b = a






15. Are called the domains of the operation






16. 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.






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






18. There are two common types of operations:






19. Subtraction ( - )






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






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






23. A






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






25. Sometimes also called modern algebra - in which algebraic structures such as groups - rings and fields are axiomatically defined and investigated.






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






27. Is Written as a + b






28. The squaring operation only produces






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






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






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






32. Is an equation involving integrals.






33. If a < b and c < d






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






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






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






37. b = b






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






39. If a < b and b < c






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






41. 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






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






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






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






45. 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).






46. A value that represents a quantity along a continuum - such as -5 (an integer) - 4/3 (a rational number that is not an integer) - 8.6 (a rational number given by a finite decimal representation) - v2 (the square root of two - an algebraic number that






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






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






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






50. 0 - which preserves numbers: a + 0 = a







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