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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. 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. 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






3. Is a basic technique used to simplify problems in which the original variables are replaced with new ones; the new and old variables being related in some specified way.






4. The operation of multiplication means _______________: a






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






6. A unary operation






7. A






8. Is an equation involving derivatives.






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






10. Can be added and subtracted.






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






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






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






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






17. Can be written in terms of n-th roots: a^m/n = (nva)^m and thus even roots of negative numbers do not exist in the real number system - has the property: a^ba^c = a^b+c - has the property: (a^b)^c = a^bc - In general a^b ? b^a and (a^b)^c ? a^(b^c)






18. Is an equation involving integrals.






19. 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).






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






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






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






23. Include composition and convolution






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






25. Is Written as a






26. Letters from the beginning of the alphabet like a - b - c... often denote






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






28. The inner product operation on two vectors produces a






29. An operation of arity k is called a






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






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






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






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






34. 1 - which preserves numbers: a^1 = a






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






36. If a = b then b = a






37. Are called the domains of the operation






38. Logarithm (Log)






39. 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






40. Is algebraic equation of degree one






41. Not associative






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






43. The value produced is called






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






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






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






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






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






49. If a < b and c > 0






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