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






2. Can be defined axiomatically up to an isomorphism






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






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






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






6. Algebra comes from Arabic al-jebr meaning '______________'. Studies the effects of adding and multiplying numbers - variables - and polynomials - along with their factorization and determining their roots. Works directly with numbers. Also covers sym






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






8. 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.






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






10. 0 - which preserves numbers: a + 0 = a






11. Operations can have fewer or more than






12. Applies abstract algebra to the problems of geometry






13. 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






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






15. A + b = b + a






16. If a < b and c < 0






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






18. If a < b and c < d






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






20. Transivity: if a < b and b < c then a < c; that if a < b and c < d then a + c < b + d; that if a < b and c > 0 then ac < bc; that if a < b and c < 0 then bc < ac.






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






22. 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)






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






24. Is an equation involving derivatives.






25. Logarithm (Log)






26. Involve only one value - such as negation and trigonometric functions.






27. 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'.






28. Is Written as a + b






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






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






31. The values combined are called






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






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






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






35. Is an algebraic 'sentence' containing an unknown quantity.






36. There are two common types of operations:






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






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






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






40. 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






41. Is an equation involving integrals.






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






43. The squaring operation only produces






44. The operation of exponentiation means ________________: a^n = a






45. Are called the domains of the operation






46. Is called the type or arity of the operation






47. Is Written as ab or a^b






48. A unary operation






49. 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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50. 1 - which preserves numbers: a^1 = a







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