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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. In which properties common to all algebraic structures are studied






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






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






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






5. () 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.






6. Is Written as a






7. Can be added and subtracted.






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






9. 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






10. The squaring operation only produces






11. A + b = b + a






12. Is an equation in which a polynomial is set equal to another polynomial.






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






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






15. Subtraction ( - )






16. If a = b and c = d then a + c = b + d and ac = bd; that if a = b then a + c = b + c; that if two symbols are equal - then one can be substituted for the other.


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. 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






19. If an equation in algebra is known to be true - the following operations may be used to produce another true equation:






20. If a < b and c < d






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






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






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






24. 0 - which preserves numbers: a + 0 = a






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






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






27. A unary operation






28. If a < b and c < 0






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






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






31. An operation of arity k is called a






32. Elementary algebra - Abstract algebra - Linear algebra - Universal algebra - Algebraic number theory - Algebraic geometry - Algebraic combinatorics






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






34. Is called the codomain of the operation






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






36. Is an equation involving derivatives.






37. (a






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






39. k-ary operation is a






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






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






42. The operation of multiplication means _______________: a






43. 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)






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






45. Are called the domains of the operation






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






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






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






49. Is called the type or arity of the operation






50. Include composition and convolution