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. 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






2. 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.






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






4. Is synonymous with function - map and mapping - that is - a relation - for which each element of the domain (input set) is associated with exactly one element of the codomain (set of possible outputs).






5. The inner product operation on two vectors produces a






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






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






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






9. A






10. A unary operation






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






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






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






14. The values combined are called






15. If a = b then b = a






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






17. 1 - which preserves numbers: a^1 = a






18. A value that represents a quantity along a continuum - such as -5 (an integer) - 4/3 (a rational number that is not an integer) - 8.6 (a rational number given by a finite decimal representation) - v2 (the square root of two - an algebraic number that






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






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






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






22. Is Written as a






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






24. Is an equation involving derivatives.






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






26. Is called the type or arity of the operation






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






28. If a < b and c < d






29. Is an equation involving integrals.






30. Include composition and convolution






31. 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






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






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






34. Can be defined axiomatically up to an isomorphism






35. The squaring operation only produces






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






37. There are two common types of operations:






38. If a < b and c > 0






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






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






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






42. () 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.






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






44. 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






45. 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).






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






47. Is called the codomain of the operation






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






49. k-ary operation is a






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