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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. Not associative






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






3. 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






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






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






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






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






8. Parenthesis and other grouping symbols including brackets - absolute value symbols - and the fraction bar - exponents and roots - multiplication and division - addition and subtraction






9. Are called the domains of the operation






10. Include the binary operations union and intersection and the unary operation of complementation.






11. 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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12. A + b = b + a






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






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






15. Is called the type or arity of the operation






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






17. Is a squared (multiplied by itself) number subtracted from another squared number. It refers to the identity






18. A binary operation






19. Subtraction ( - )






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






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






22. The operation of multiplication means _______________: a






23. Not commutative a^b?b^a






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






25. 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.






26. If a < b and b < c






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






28. (a






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






30. Means repeated addition of ones: a + n = a + 1 + 1 +...+ 1 (n number of times) - has an inverse operation called subtraction: (a + b) - b = a - which is the same as adding a negative number - a - b = a + (-b)






31. Is an equation involving derivatives.






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






33. 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).






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






35. Are true for only some values of the involved variables: x2 - 1 = 4.






36. 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.






37. () 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.






38. 1 - which preserves numbers: a






39. 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'.






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






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






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






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






44. If a = b then b = a






45. Logarithm (Log)






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






47. 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.






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






49. 0 - which preserves numbers: a + 0 = a






50. Is algebraic equation of degree one