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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. 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)






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






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






4. Is Written as a + b






5. Is an equation involving derivatives.






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






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






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






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






10. May not be defined for every possible value.






11. Subtraction ( - )






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






13. The values combined are called






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






15. If a < b and c < 0






16. If a < b and c > 0






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






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






19. A unary operation






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






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






22. 1 - which preserves numbers: a






23. A binary operation






24. Is called the type or arity of the operation






25. If a < b and c < d






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






27. Is an assignment of values to all the unknowns so that all of the equations are true. also called set simultaneous equations.






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






29. 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)






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






31. 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'.






32. 1 - which preserves numbers: a^1 = a






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






34. b = b






35. 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.






36. Not associative






37. Is called the codomain of the operation






38. 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






39. Division ( / )






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






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






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






43. Logarithm (Log)






44. Can be expressed in the form ax^2 + bx + c = 0 - where a is not zero (if it were zero - then the equation would not be quadratic but linear).






45. Is algebraic equation of degree one






46. 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






47. Not commutative a^b?b^a






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






49. Are called the domains of the operation






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