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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. In which abstract algebraic methods are used to study combinatorial questions.






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






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






4. The inner product operation on two vectors produces a






5. () 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.






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






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






8. A






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






10. Is algebraic equation of degree one






11. Is an equation involving integrals.






12. 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'.






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






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






15. In which properties common to all algebraic structures are studied






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






17. The codomain is the set of real numbers but the range is the






18. Division ( / )






19. 0 - which preserves numbers: a + 0 = a






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. 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






22. Not associative






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






24. An operation of arity zero is simply an element of the codomain Y - called a






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






26. Can be added and subtracted.






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






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






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






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






31. Logarithm (Log)






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






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






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






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






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






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






38. Is called the type or arity of the operation






39. A binary operation






40. 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.






41. The operation of multiplication means _______________: a






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






43. b = b






44. Are called the domains of the operation






45. The squaring operation only produces






46. If a < b and c > 0






47. Operations can have fewer or more than






48. 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.






49. Not commutative a^b?b^a






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