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






2. Division ( / )






3. A






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






5. (a






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






7. The values combined are called






8. If a < b and c > 0






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






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






11. May not be defined for every possible value.






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






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






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






15. 0 - which preserves numbers: a + 0 = a






16. 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.






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






18. Is an equation involving derivatives.






19. Introduces the concept of variables representing numbers. Statements based on these variables are manipulated using the rules of operations that apply to numbers - such as addition. This can be done for a variety of reasons - including equation solvi






20. 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






21. A unary operation






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






23. Include composition and convolution






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






25. 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






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






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






28. 1 - which preserves numbers: a






29. 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.






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






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






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






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. The value produced is called






36. Operations can have fewer or more than






37. 1 - which preserves numbers: a^1 = a






38. There are two common types of operations:






39. 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)






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






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






42. Are called the domains of the operation






43. Is called the type or arity of the operation






44. Logarithm (Log)






45. Is Written as ab or a^b






46. Is an equation involving integrals.






47. 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'.






48. Not associative






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






50. A value that represents a quantity along a continuum - such as -5 (an integer) - 4/3 (a rational number that is not an integer) - 8.6 (a rational number given by a finite decimal representation) - v2 (the square root of two - an algebraic number that