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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. If a < b and c < d






2. A






3. Include composition and convolution






4. If a < b and c < 0






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






6. Logarithm (Log)






7. 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






8. 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)






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






10. 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






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






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






13. If a = b then b = a






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






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






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






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






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






19. 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.

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20. Applies abstract algebra to the problems of geometry






21. There are two common types of operations:






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






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






24. (a + b) + c = a + (b + c)






25. k-ary operation is a






26. 1 - which preserves numbers: a^1 = a






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






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






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






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






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






32. The value produced is called






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






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






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






36. The operation of multiplication means _______________: a






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






38. 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






39. Is called the codomain of the operation






40. Operations can have fewer or more than






41. The squaring operation only produces






42. Is called the type or arity of the operation






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






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






45. 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.






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






47. A + b = b + a






48. b = b






49. Are true for only some values of the involved variables: x2 - 1 = 4.






50. Can be added and subtracted.







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