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






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






3. A + b = b + a






4. 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).






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






6. Division ( / )






7. Operations can have fewer or more than






8. If a < b and c > 0






9. Is called the codomain of the operation






10. Is Written as a + b






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






12. Include composition and convolution






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






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






15. 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.






16. Is Written as a






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






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






19. Is a squared (multiplied by itself) number subtracted from another squared number. It refers to the identity






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






21. b = b






22. If a < b and c < d






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






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






25. Can be defined axiomatically up to an isomorphism






26. 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






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






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






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






30. The operation of multiplication means _______________: a






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






32. Can be added and subtracted.






33. The values combined are called






34. Is algebraic equation of degree one






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






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






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






38. 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






39. 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






40. 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.






41. 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






42. A unary operation






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






44. 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)






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






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






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






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






49. Is Written as ab or a^b






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