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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 in which a polynomial is set equal to another polynomial.






2. If a < b and b < c






3. Subtraction ( - )






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






5. An operation of arity k is called a






6. The operation of multiplication means _______________: a






7. Are called the domains of the operation






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






9. Is called the codomain of the operation






10. The inner product operation on two vectors produces a






11. 1 - which preserves numbers: a






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






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






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






15. 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.






16. Not associative






17. 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






18. Are linear equations that have only one variable. They contain only constant numbers and a single variable without an exponent. For example:






19. Operations can have fewer or more than






20. () 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.






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






22. The values combined are called






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






24. Is called the type or arity of the operation






25. Can be added and subtracted.






26. Is Written as ab or a^b






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






28. 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'.






29. A + b = b + a






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






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






32. If a < b and c > 0






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






34. 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)






35. The squaring operation only produces






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






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






38. Is algebraic equation of degree one






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






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






41. 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






42. May not be defined for every possible value.






43. Is an equation where the unknowns are required to be integers.






44. Is an equation of the form aX = b for a > 0 - which has solution






45. A mathematical statement that asserts the equality of two expressions - this is written by placing the expressions on either side of an equals sign (=).






46. Is Written as a






47. The values of the variables which make the equation true are the solutions of the equation and can be found through






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






49. Not commutative a^b?b^a






50. Applies abstract algebra to the problems of geometry