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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. 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)






2. Not commutative a^b?b^a






3. 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






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






5. () 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.






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






7. 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






8. 1 - which preserves numbers: a






9. Are called the domains of the operation






10. 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)






11. Is an equation involving derivatives.






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






13. b = b






14. Take two values - and include addition - subtraction - multiplication - division - and exponentiation.






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






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






17. Subtraction ( - )






18. Is an equation involving integrals.






19. 0 - which preserves numbers: a + 0 = a






20. Is a way of solving a functional equation of two polynomials for a number of unknown parameters. It relies on the fact that two polynomials are identical precisely when all corresponding coefficients are equal. The method is used to bring formulas in






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






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






23. Can be added and subtracted.






24. 1 - which preserves numbers: a^1 = a






25. Are linear equations that have only one variable. They contain only constant numbers and a single variable without an exponent. For example:






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






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






28. Is Written as a






29. The values combined are called






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






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






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






33. The value produced is called






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






35. (a






36. An operation of arity k is called a






37. (a + b) + c = a + (b + c)






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






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






40. 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.






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






42. A binary operation






43. May not be defined for every possible value.






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






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






46. 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).






47. 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






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






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






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