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






2. If a < b and c < d






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






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






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






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






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






8. Can be added and subtracted.






9. Are denoted by letters at the beginning - a - b - c - d - ...






10. An example of solving a system of linear equations is by using the elimination method: Multiplying the terms in the second equation by 2: Adding the two equations together to get: which simplifies to Since the fact that x = 2 is known - it is then po






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






12. 1 - which preserves numbers: a






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






14. Division ( / )






15. Elementary algebraic techniques are used to rewrite a given equation in the above way before arriving at the solution. then - by subtracting 1 from both sides of the equation - and then dividing both sides by 3 we obtain






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






17. May not be defined for every possible value.






18. The value produced is called






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






20. Logarithm (Log)






21. 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.






22. Two equations in two variables - it is often possible to find the solutions of both variables that satisfy both equations.






23. 0 - which preserves numbers: a + 0 = a






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






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






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






27. Is Written as ab or a^b






28. The squaring operation only produces






29. Is Written as a






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






31. Is an equation involving integrals.






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






33. Is a basic technique used to simplify problems in which the original variables are replaced with new ones; the new and old variables being related in some specified way.






34. Introduces the concept of variables representing numbers. Statements based on these variables are manipulated using the rules of operations that apply to numbers - such as addition. This can be done for a variety of reasons - including equation solvi






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






36. Not associative






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






38. If a = b then b = a






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






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






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






42. A






43. 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.






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






45. 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






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






47. Is called the codomain of the operation






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






49. Is algebraic equation of degree one






50. Is the claim that two expressions have the same value and are equal.