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. The values combined are called






2. 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.

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


3. A






4. 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






5. 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






6. There are two common types of operations:






7. 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






8. The inner product operation on two vectors produces a






9. 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.






10. A + b = b + a






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






12. Logarithm (Log)






13. If a = b then b = a






14. Is called the type or arity of the operation






15. 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).






16. A distinction is made between the equality sign ( = ) for an equation and the equivalence symbol () for an






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






18. Are denoted by letters at the end of the alphabet - x - y - z - w - ...






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






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






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






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






23. Is Written as ab or a^b






24. Can be defined axiomatically up to an isomorphism






25. Applies abstract algebra to the problems of geometry






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






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






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






29. 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.






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






31. 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






32. 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)






33. Include composition and convolution






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






35. 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)






36. Operations can have fewer or more than






37. b = b






38. Is algebraic equation of degree one






39. Not associative






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






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






42. 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






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






44. 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)






45. Is called the codomain of the operation






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






47. Is an equation involving integrals.






48. Subtraction ( - )






49. If a < b and c < 0






50. Is Written as a