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






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






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






5. Is an equation involving integrals.






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






7. The relation of equality (=) is...reflexive: b = b; symmetric: if a = b then b = a; transitive: if a = b and b = c then a = c.






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






9. Is an algebraic 'sentence' containing an unknown quantity.






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






11. Is called the codomain of the operation






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






13. The operation of exponentiation means ________________: a^n = a






14. 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






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






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






17. If a < b and b < c






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






19. If a < b and c > 0






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






21. (a






22. 1 - which preserves numbers: a






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






24. Not associative






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






26. A unary operation






27. Can be defined axiomatically up to an isomorphism






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






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






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






31. 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)






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






33. 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).






34. 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






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






36. If a < b and c < d






37. 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






38. 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






39. Is an equation involving derivatives.






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






41. May not be defined for every possible value.






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






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






44. 0 - which preserves numbers: a + 0 = a






45. Subtraction ( - )






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






47. 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






48. Division ( / )






49. 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)






50. Is a function of the form ? : V ? Y - where V ? X1