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






3. Introduces the concept of variables representing numbers. Statements based on these variables are manipulated using the rules of operations that apply to numbers - such as addition. This can be done for a variety of reasons - including equation solvi






4. 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






5. Is an equation of the form X^m/n = a - for m - n integers - which has solution






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






7. 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.






8. (a






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






10. The value produced is called






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






12. May not be defined for every possible value.






13. Applies abstract algebra to the problems of geometry






14. Subtraction ( - )






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






16. using factorization (the reverse process of which is expansion - but for two linear terms is sometimes denoted foiling).






17. Operations can have fewer or more than






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






19. 0 - which preserves numbers: a + 0 = a






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






21. If a < b and c < 0






22. Is Written as a






23. (a + b) + c = a + (b + c)






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






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






27. 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'.






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






29. Division ( / )






30. 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






31. A + b = b + a






32. If a < b and c > 0






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






34. b = b






35. Is called the type or arity of the operation






36. 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.






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






38. The squaring operation only produces






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






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






41. A binary operation






42. () 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.






43. Is Written as a + b






44. Not associative






45. Is a way of solving a functional equation of two polynomials for a number of unknown parameters. It relies on the fact that two polynomials are identical precisely when all corresponding coefficients are equal. The method is used to bring formulas in






46. A






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






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






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






50. 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.







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