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






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






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






4. Is Written as ab or a^b






5. 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






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






7. Is called the codomain of the operation






8. Logarithm (Log)






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






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






11. 1 - which preserves numbers: a






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






13. Can be written in terms of n-th roots: a^m/n = (nva)^m and thus even roots of negative numbers do not exist in the real number system - has the property: a^ba^c = a^b+c - has the property: (a^b)^c = a^bc - In general a^b ? b^a and (a^b)^c ? a^(b^c)






14. () 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.






15. Include composition and convolution






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






17. If a < b and b < c






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






19. The value produced is called






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






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






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






23. A






24. Is an equation of the form log`a^X = b for a > 0 - which has solution






25. Is Written as a + b






26. Can be added and subtracted.






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






28. Is an equation involving integrals.






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






30. If a < b and c < 0






31. 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






32. Division ( / )






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






34. If a = b then b = a






35. 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






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






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






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






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






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






41. 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)






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






43. May not be defined for every possible value.






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






45. Is an equation involving derivatives.






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






47. Not commutative a^b?b^a






48. Operations can have fewer or more than






49. 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






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