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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 < 0






2. The value produced is called






3. 0 - which preserves numbers: a + 0 = a






4. Can be expressed in the form ax^2 + bx + c = 0 - where a is not zero (if it were zero - then the equation would not be quadratic but linear).






5. 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).






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






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






8. Is Written as a + b






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






10. A binary operation






11. (a






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






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






14. 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.






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






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






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






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






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






20. Applies abstract algebra to the problems of geometry






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






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






23. 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






24. k-ary operation is a






25. 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






26. Division ( / )






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






28. Is Written as a






29. 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






30. b = b






31. If a = b then b = a






32. Can be added and subtracted.






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






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






35. May not be defined for every possible value.






36. Is algebraic equation of degree one






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






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






39. In an equation with a single unknown - a value of that unknown for which the equation is true is called






40. Implies that the domain of the function is a power of the codomain (i.e. the Cartesian product of one or more copies of the codomain)






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






42. Are called the domains of the operation






43. Is an algebraic 'sentence' containing an unknown quantity.






44. 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






45. A unary operation






46. The inner product operation on two vectors produces a






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






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






49. Is an equation involving integrals.






50. 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.