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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. The inner product operation on two vectors produces a






2. 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






3. Is synonymous with function - map and mapping - that is - a relation - for which each element of the domain (input set) is associated with exactly one element of the codomain (set of possible outputs).






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






5. 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






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






7. If a = b then b = a






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






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






10. 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)






11. 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






12. 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






13. Division ( / )






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






15. A + b = b + a






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






18. Are called the domains of the operation






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






20. In which the properties of numbers are studied through algebraic systems. Number theory inspired much of the original abstraction in algebra.






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






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






23. 1 - which preserves numbers: a^1 = a






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






25. Is Written as ab or a^b






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






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






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






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






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






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






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






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. Subtraction ( - )






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






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






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






38. The values combined are called






39. b = b






40. 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.






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






42. A






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






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






45. The operation of multiplication means _______________: a






46. 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






47. If a < b and c > 0






48. Is called the codomain of the operation






49. () 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.






50. Is called the type or arity of the operation