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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. There are two common types of operations:






2. 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






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






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






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






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






7. Together with geometry - analysis - topology - combinatorics - and number theory - algebra is one of the main branches of






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






9. Implies that the domain of the function is a power of the codomain (i.e. the Cartesian product of one or more copies of the codomain)






10. Subtraction ( - )






11. Include composition and convolution






12. Can be defined axiomatically up to an isomorphism






13. The squaring operation only produces






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






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






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






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






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






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






20. If a = b then b = a






21. Not commutative a^b?b^a






22. A + b = b + a






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






24. 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.

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25. Is called the type or arity of the operation






26. Sometimes also called modern algebra - in which algebraic structures such as groups - rings and fields are axiomatically defined and investigated.






27. A unary operation






28. If a < b and c < 0






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






30. Applies abstract algebra to the problems of geometry






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






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






33. If a < b and c < d






34. 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






35. 0 - which preserves numbers: a + 0 = a






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






37. Can be combined using logic operations - such as and - or - and not.






38. Not associative






39. Is a way of solving a functional equation of two polynomials for a number of unknown parameters. It relies on the fact that two polynomials are identical precisely when all corresponding coefficients are equal. The method is used to bring formulas in






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






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






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






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. 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






45. The operation of multiplication means _______________: a






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






47. 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).






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






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






50. Is algebraic equation of degree one