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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. 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.






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






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






4. 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'.






5. Can be written in terms of n-th roots: a^m/n = (nva)^m and thus even roots of negative numbers do not exist in the real number system - has the property: a^ba^c = a^b+c - has the property: (a^b)^c = a^bc - In general a^b ? b^a and (a^b)^c ? a^(b^c)






6. 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






7. () 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.






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






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






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






11. 1 - which preserves numbers: a^1 = a






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






13. (a






14. An operation of arity k is called a






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






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






17. Is an equation where the unknowns are required to be integers.






18. 1 - which preserves numbers: a






19. A






20. 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






21. Is Written as ab or a^b






22. Logarithm (Log)






23. The squaring operation only produces






24. Is Written as a






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






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






27. The values combined are called






28. May not be defined for every possible value.






29. If a < b and c < 0






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






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






32. If a < b and c < d






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






34. Is Written as a + b






35. Is called the codomain of the operation






36. Is an equation involving integrals.






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






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






39. In which the specific properties of vector spaces are studied (including matrices)






40. Are linear equations that have only one variable. They contain only constant numbers and a single variable without an exponent. For example:






41. Can be defined axiomatically up to an isomorphism






42. Division ( / )






43. 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






44. There are two common types of operations:






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






46. 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






47. 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.






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






49. The value produced is called






50. Are called the domains of the operation







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