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






2. Is algebraic equation of degree one






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. Transivity: if a < b and b < c then a < c; that if a < b and c < d then a + c < b + d; that if a < b and c > 0 then ac < bc; that if a < b and c < 0 then bc < ac.






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






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






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






8. 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).






9. 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






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






11. Is an equation involving only algebraic expressions in the unknowns. These are further classified by degree.






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






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






14. If a < b and b < c






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






16. 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.






17. The value produced is called






18. Include the binary operations union and intersection and the unary operation of complementation.






19. Is Written as a + b






20. There are two common types of operations:






21. Include composition and convolution






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






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






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






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






26. b = b






27. Logarithm (Log)






28. () 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.






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






30. Operations can have fewer or more than






31. 1 - which preserves numbers: a






32. Can be added and subtracted.






33. The operation of multiplication means _______________: a






34. k-ary operation is a






35. A distinction is made between the equality sign ( = ) for an equation and the equivalence symbol () for an






36. 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)






37. 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






38. If a < b and c < 0






39. 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.






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






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






42. If a < b and c > 0






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






44. Is called the type or arity of the operation






45. Is Written as ab or a^b






46. May not be defined for every possible value.






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






48. 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






49. Division ( / )






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