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






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. 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.






4. An operation of arity k is called a






5. Are called the domains of the operation






6. Is Written as a






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






8. If a < b and c > 0






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






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






11. Is Written as a + b






12. Is an equation involving derivatives.






13. There are two common types of operations:






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






15. 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.






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






17. () 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.






18. b = b






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






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






21. Not associative






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






23. Operations can have fewer or more than






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






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. Is algebraic equation of degree one






27. Is called the type or arity of the operation






28. The values combined are called






29. 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






30. If a < b and c < 0






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






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






33. 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)






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






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






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






37. Is an equation in which a polynomial is set equal to another polynomial.






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






39. A binary operation






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






41. Can be added and subtracted.






42. A






43. If a < b and c < d






44. Applies abstract algebra to the problems of geometry






45. The squaring operation only produces






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






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






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






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






50. k-ary operation is a