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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. 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).






2. 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






3. Applies abstract algebra to the problems of geometry






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






5. Not associative






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






7. () is the branch of mathematics concerning the study of the rules of operations and relations - and the constructions and concepts arising from them - including terms - polynomials - equations and algebraic structures.






8. 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'.






9. Is algebraic equation of degree one






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






11. Logarithm (Log)






12. A unary operation






13. 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






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






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






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






17. An operation of arity k is called a






18. Include composition and convolution






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






20. Is an equation involving derivatives.






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






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






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






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






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






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






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






28. Subtraction ( - )






29. The squaring operation only produces






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






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






32. Real numbers can be thought of as points on an infinitely long line where the points corresponding to integers are equally spaced called the






33. The values combined are called






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






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






36. Is called the type or arity of the operation






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






38. Can be added and subtracted.






39. Division ( / )






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






41. Is Written as a + b






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






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






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






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






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






48. k-ary operation is a






49. Is a basic technique used to simplify problems in which the original variables are replaced with new ones; the new and old variables being related in some specified way.






50. 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.







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