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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. A unary operation






2. Is Written as a + b






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






4. Is a way of solving a functional equation of two polynomials for a number of unknown parameters. It relies on the fact that two polynomials are identical precisely when all corresponding coefficients are equal. The method is used to bring formulas in






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






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






7. 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.






8. Not associative






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






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






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






12. Is called the type or arity of the operation






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






14. If a < b and b < c






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






16. The values combined are called






17. Is Written as a






18. b = b






19. Is called the codomain of the operation






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






21. 1 - which preserves numbers: a^1 = a






22. If a < b and c > 0






23. Parenthesis and other grouping symbols including brackets - absolute value symbols - and the fraction bar - exponents and roots - multiplication and division - addition and subtraction






24. 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)






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






26. Are called the domains of the operation






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






28. Is Written as ab or a^b






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






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






31. Division ( / )






32. 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






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






34. The set which contains the values produced is called the codomain - but the set of actual values attained by the operation is its






35. Is an equation involving integrals.






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






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






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






39. A + b = b + a






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






41. Is algebraic equation of degree one






42. 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).






43. Not commutative a^b?b^a






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






45. May not be defined for every possible value.






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






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






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






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






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