Test your basic knowledge |

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






2. Is Written as a






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






4. 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






5. The operation of multiplication means _______________: a






6. k-ary operation is a






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






8. Subtraction ( - )






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






10. If a < b and c < d






11. 0 - which preserves numbers: a + 0 = a






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






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






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






15. 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).






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






17. Division ( / )






18. If a = b then b = a






19. Logarithm (Log)






20. Is an equation involving derivatives.






21. 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






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






23. An equivalent for y can be deduced by using one of the two equations. Using the second equation: Subtracting 2x from each side of the equation: and multiplying by -1: Using this y value in the first equation in the original system: Adding 2 on each s






24. A binary operation






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






26. The inner product operation on two vectors produces a






27. The values combined are called






28. If a < b and c < 0






29. Not commutative a^b?b^a






30. Applies abstract algebra to the problems of geometry






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






32. If a < b and b < c






33. An operation of arity k is called a






34. Involve only one value - such as negation and trigonometric functions.






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






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






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






38. b = b






39. 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.

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


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






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






42. Operations can have fewer or more than






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






44. An operation of arity zero is simply an element of the codomain Y - called a






45. Can be defined axiomatically up to an isomorphism






46. The value produced is called






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






48. () 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.






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






50. Are called the domains of the operation