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






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






3. A unary operation






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






5. Operations can have fewer or more than






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






7. Is Written as a






8. 0 - which preserves numbers: a + 0 = a






9. 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).






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






11. 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






12. 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.






13. Is a binary relation on a set for which every element is related to itself - i.e. - a relation ~ on S where x~x holds true for every x in S. For example - ~ could be 'is equal to'.






14. Is Written as ab or a^b






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






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






17. Applies abstract algebra to the problems of geometry






18. If a = b then b = a






19. Is Written as a + b






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






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






22. The value produced is called






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






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






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






26. 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






27. 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)






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






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






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






31. Not associative






32. Is an equation involving derivatives.






33. The values combined are called






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






35. The squaring operation only produces






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






37. A binary operation






38. May not be defined for every possible value.






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






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






41. A






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






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






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






45. There are two common types of operations:






46. k-ary operation is a






47. Is to add - subtract - multiply - or divide both sides of the equation by the same number in order to isolate the variable on one side of the equation. Once the variable is isolated - the other side of the equation is the value of the variable.






48. Can be added and subtracted.






49. Is an equation involving integrals.






50. May contain numbers - variables and arithmetical operations. These are conventionally written with 'higher-power' terms on the left