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






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






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






4. May not be defined for every possible value.






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






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






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






8. 0 - which preserves numbers: a + 0 = a






9. A






10. Letters from the beginning of the alphabet like a - b - c... often denote






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






12. An operation of arity k is called a






13. Is an equation involving integrals.






14. Subtraction ( - )






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






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






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






18. The values combined are called






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






20. 1 - which preserves numbers: a^1 = a






21. A unary operation






22. Is to add - subtract - multiply - or divide both sides of the equation by the same number in order to isolate the variable on one side of the equation. Once the variable is isolated - the other side of the equation is the value of the variable.






23. 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'.






24. k-ary operation is a






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






26. Is algebraic equation of degree one






27. Applies abstract algebra to the problems of geometry






28. b = b






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






30. Is Written as a + b






31. Is called the type or arity of the operation






32. Is Written as a






33. A distinction is made between the equality sign ( = ) for an equation and the equivalence symbol () for an






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






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






36. 1 - which preserves numbers: a






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






38. 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.






39. If a < b and c < 0






40. 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).






41. 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






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






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






44. Can be defined axiomatically up to an isomorphism






45. 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






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






47. often express relationships between given quantities - the knowns - and quantities yet to be determined - the unknowns.






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






49. Include composition and convolution






50. 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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Can you answer 50 questions in 15 minutes?



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