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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. Applies abstract algebra to the problems of geometry






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






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






4. () 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.






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






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






7. If a < b and c < d






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






9. Not commutative a^b?b^a






10. The operation of exponentiation means ________________: a^n = a






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






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






13. Include composition and convolution






14. Operations can have fewer or more than






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






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






17. 1 - which preserves numbers: a






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. A unary operation






20. 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






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






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






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






24. Sometimes also called modern algebra - in which algebraic structures such as groups - rings and fields are axiomatically defined and investigated.






25. The values combined are called






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






27. 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






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






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






30. b = b






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






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






33. k-ary operation is a






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






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






36. Is an equation involving integrals.






37. May not be defined for every possible value.






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






39. 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.






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






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






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






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






44. 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).






45. The squaring operation only produces






46. A






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






48. 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).






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






50. The value produced is called







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