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






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






4. If a < b and c < 0






5. Is an equation in which the unknowns are functions rather than simple quantities.






6. Operations can have fewer or more than






7. Is Written as a






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






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






10. The operation of multiplication means _______________: a






11. A






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






13. b = b






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






15. 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).






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






17. The relation of equality (=) is...reflexive: b = b; symmetric: if a = b then b = a; transitive: if a = b and b = c then a = c.






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






19. Is called the type or arity of the operation






20. Not commutative a^b?b^a






21. Logarithm (Log)






22. A unary operation






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






24. 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)






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






26. Include composition and convolution






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






28. (a






29. An operation of arity k is called a






30. () 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.






31. Division ( / )






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






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






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






35. There are two common types of operations:






36. If a = b then b = a






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






38. A binary operation






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






40. 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






41. 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)






42. The inner product operation on two vectors produces a






43. Parenthesis and other grouping symbols including brackets - absolute value symbols - and the fraction bar - exponents and roots - multiplication and division - addition and subtraction






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






45. May not be defined for every possible value.






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






47. 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






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






49. The values combined are called






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