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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. Division ( / )






2. 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






3. Logarithm (Log)






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






5. Operations can have fewer or more than






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






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






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






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






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






11. 1 - which preserves numbers: a






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






13. Symbols that denote numbers - is to allow the making of generalizations in mathematics






14. 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.






15. A unary operation






16. If a < b and c < d






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






18. If a < b and b < c






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






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






21. 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.






22. An operation of arity k is called a






23. 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)






24. Is Written as a






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






26. 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






27. If a < b and c > 0






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






29. 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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30. Can be added and subtracted.






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






32. 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'.






33. Is Written as a + b






34. A






35. 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






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






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






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






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






41. Not commutative a^b?b^a






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






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






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






45. 1 - which preserves numbers: a^1 = a






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






47. A + b = b + a






48. Is an equation involving derivatives.






49. 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.






50. Include composition and convolution