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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. 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






2. An operation of arity k is called a






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






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






5. Subtraction ( - )






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






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






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






9. 1 - which preserves numbers: a






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






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






12. () 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.






13. The operation of multiplication means _______________: a






14. A unary operation






15. Is algebraic equation of degree one






16. 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






17. If a < b and c > 0






18. 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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19. b = b






20. 0 - which preserves numbers: a + 0 = a






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






22. 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






23. 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.






24. The squaring operation only produces






25. There are two common types of operations:






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






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






29. 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






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






31. k-ary operation is a






32. Operations can have fewer or more than






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






34. Not commutative a^b?b^a






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






36. The value produced is called






37. 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






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






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






40. Reflexive: b = b; symmetric: if a = b then b = a; transitive: if a = b and b = c then a = c.






41. A






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






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






44. Are called the domains of the operation






45. If a < b and c < d






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






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






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






49. A vector can be multiplied by a scalar to form another vector






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