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






2. 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.






3. Are called the domains of the operation






4. Is Written as ab or a^b






5. If a = b then b = a






6. A + b = b + a






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






8. Division ( / )






9. () 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.






10. The value produced is called






11. Is Written as a






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






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






14. Logarithm (Log)






15. There are two common types of operations:






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






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






18. A






19. If a < b and c < d






20. If a < b and c < 0






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






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






23. Include composition and convolution






24. Is an equation involving integrals.






25. That 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.






26. Are denoted by letters at the beginning - a - b - c - d - ...






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






28. 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.






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






30. 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






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






32. 0 - which preserves numbers: a + 0 = a






33. Is an equation involving only algebraic expressions in the unknowns. These are further classified by degree.






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






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






36. May not be defined for every possible value.






37. A binary operation






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






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






40. 1 - which preserves numbers: a^1 = a






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






42. (a






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






44. 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






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






46. The inner product operation on two vectors produces a






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






48. 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'.






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






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