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






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






3. Is called the codomain of the operation






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






5. 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






6. A mathematical statement that asserts the equality of two expressions - this is written by placing the expressions on either side of an equals sign (=).






7. Subtraction ( - )






8. 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.






9. Is called the type or arity of the operation






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






11. If a < b and c < d






12. b = b






13. The squaring operation only produces






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






15. Is Written as a






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






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






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






19. (a






20. A unary operation






21. 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).






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






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






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






25. If a = b then b = a






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






27. Logarithm (Log)






28. 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.






29. Can be added and subtracted.






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






31. 1 - which preserves numbers: a






32. Will have two solutions in the complex number system - but need not have any in the real number system.






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






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






35. Is an equation involving derivatives.






36. The operation of multiplication means _______________: a






37. The value produced is called






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






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






42. Are called the domains of the operation






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






44. Not commutative a^b?b^a






45. If a < b and c > 0






46. 0 - which preserves numbers: a + 0 = a






47. Operations can have fewer or more than






48. Real numbers can be thought of as points on an infinitely long line where the points corresponding to integers are equally spaced called the






49. k-ary operation is a






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