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






2. b = b






3. 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)






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






5. Is Written as a + b






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






7. The values combined are called






8. The operation of multiplication means _______________: a






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






10. Is called the codomain of the operation






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






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






13. 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






14. Is a squared (multiplied by itself) number subtracted from another squared number. It refers to the identity






15. Transivity: if a < b and b < c then a < c; that if a < b and c < d then a + c < b + d; that if a < b and c > 0 then ac < bc; that if a < b and c < 0 then bc < ac.






16. k-ary operation is a






17. (a






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






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






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






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






22. The value produced is called






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






25. 0 - which preserves numbers: a + 0 = a






26. If a < b and c < d






27. Is Written as ab or a^b






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






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






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






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






32. Division ( / )






33. If a < b and c < 0






34. 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.






35. Is Written as a






36. Not commutative a^b?b^a






37. Include composition and convolution






38. Is an equation involving derivatives.






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






40. Is an equation involving integrals.






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






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






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






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






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






46. May not be defined for every possible value.






47. Is algebraic equation of degree one






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






49. 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.






50. A binary operation