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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. Applies abstract algebra to the problems of geometry






2. Can be defined axiomatically up to an isomorphism






3. 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.






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






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






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






7. 1 - which preserves numbers: a






8. 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






9. Include composition and convolution






10. Subtraction ( - )






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






12. If a < b and c < 0






13. Is an equation of the form log`a^X = b for a > 0 - which has solution






14. If a < b and b < c






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






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






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






18. A unary operation






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






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






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






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






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






24. Is an equation involving derivatives.






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






26. If a < b and c > 0






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






28. Is Written as ab or a^b






29. An equivalent for y can be deduced by using one of the two equations. Using the second equation: Subtracting 2x from each side of the equation: and multiplying by -1: Using this y value in the first equation in the original system: Adding 2 on each s






30. Is synonymous with function - map and mapping - that is - a relation - for which each element of the domain (input set) is associated with exactly one element of the codomain (set of possible outputs).






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






32. An operation of arity k is called a






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






34. Division ( / )






35. Not commutative a^b?b^a






36. Is called the codomain of the operation






37. b = b






38. The squaring operation only produces






39. (a






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






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






42. () 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.






43. If a < b and c < d






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






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






46. Is Written as a






47. 0 - which preserves numbers: a + 0 = a






48. 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.






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






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