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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 Written as a + b






2. Logarithm (Log)






3. Is Written as ab or a^b






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






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






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






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






8. Can be written in terms of n-th roots: a^m/n = (nva)^m and thus even roots of negative numbers do not exist in the real number system - has the property: a^ba^c = a^b+c - has the property: (a^b)^c = a^bc - In general a^b ? b^a and (a^b)^c ? a^(b^c)






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






10. Include composition and convolution






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






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






13. 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






14. () 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.






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






16. (a






17. 1 - which preserves numbers: a






18. 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






19. 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'.






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






21. Applies abstract algebra to the problems of geometry






22. 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).






23. Is an equation involving derivatives.






24. A






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






26. 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.






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






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






29. 0 - which preserves numbers: a + 0 = a






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






31. The squaring operation only produces






32. Is Written as a






33. Not commutative a^b?b^a






34. If a < b and b < c






35. Division ( / )






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






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






38. 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).






39. Not associative






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






41. If a < b and c < d






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






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






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






45. The operation of multiplication means _______________: a






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






47. Subtraction ( - )






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






49. k-ary operation is a






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







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