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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. An example of solving a system of linear equations is by using the elimination method: Multiplying the terms in the second equation by 2: Adding the two equations together to get: which simplifies to Since the fact that x = 2 is known - it is then po






2. If a < b and c < d






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






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






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






6. Is an equation involving integrals.






7. Not commutative a^b?b^a






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






9. The value produced is called






10. A






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






12. Is Written as a + b






13. May contain numbers - variables and arithmetical operations. These are conventionally written with 'higher-power' terms on the left






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






15. If a = b then b = a






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






17. b = b






18. Is Written as ab or a^b






19. If a < b and c < 0






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






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






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






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






24. There are two common types of operations:






25. k-ary operation is a






26. A + b = b + a






27. 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.






28. 1 - which preserves numbers: a






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






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






31. 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.






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






33. If a < b and c > 0






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






35. If a < b and b < c






36. An operation of arity k is called a






37. Is Written as a






38. Is called the codomain of the operation






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






40. Are called the domains of the operation






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






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






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






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 operation of multiplication means _______________: a






46. 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).






47. Can be added and subtracted.






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






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






50. Is an equation involving derivatives.