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






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






3. 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






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






5. Not associative






6. b = b






7. Is Written as ab or a^b






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






9. Is Written as a + b






10. An operation of arity k is called a






11. 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)






12. The value produced is called






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






14. Are called the domains of the operation






15. If a < b and c > 0






16. k-ary operation is a






17. Applies abstract algebra to the problems of geometry






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






19. 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.






20. Is algebraic equation of degree one






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






22. Division ( / )






23. If a = b then b = a






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






25. A binary operation






26. Are denoted by letters at the beginning - a - b - c - d - ...






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






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






29. 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.






30. 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






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






32. 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)






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






34. Is Written as a






35. Elementary algebra - Abstract algebra - Linear algebra - Universal algebra - Algebraic number theory - Algebraic geometry - Algebraic combinatorics






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






37. 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






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






39. Is called the codomain of the operation






40. A + b = b + a






41. There are two common types of operations:






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






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






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






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






46. The squaring operation only produces






47. A unary operation






48. 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.


49. (a






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