Test your basic knowledge |

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 equation involving a transcendental function of one of its variables.






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






3. If a < b and b < c






4. 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.






5. 0 - which preserves numbers: a + 0 = a






6. Include composition and convolution






7. 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'.






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






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






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






11. If a = b then b = a






12. There are two common types of operations:






13. 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).






14. The value produced is called






15. Is an action or procedure which produces a new value from one or more input values.






16. A + b = b + a






17. The squaring operation only produces






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






19. May not be defined for every possible value.






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






21. often express relationships between given quantities - the knowns - and quantities yet to be determined - the unknowns.






22. 1 - which preserves numbers: a






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






24. Division ( / )






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






26. An operation of arity k is called a






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






28. 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)






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






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






31. Operations can have fewer or more than






32. Is called the type or arity of the operation






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






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






35. A unary operation






36. k-ary operation is a






37. Is called the codomain of the operation






38. 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






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






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






41. If a < b and c > 0






42. Is an equation involving derivatives.






43. Is algebraic equation of degree one






44. Can be defined axiomatically up to an isomorphism






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






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






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






48. Is Written as ab or a^b






49. 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






50. 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)