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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. Operations can have fewer or more than






2. (a






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






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






5. Applies abstract algebra to the problems of geometry






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






7. 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).






8. 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






9. If a = b then b = a






10. If a < b and b < c






11. k-ary operation is a






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






13. Is called the codomain of the operation






14. If an equation in algebra is known to be true - the following operations may be used to produce another true equation:






15. 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






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






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






18. The operation of multiplication means _______________: a






19. 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






20. Is called the type or arity of the operation






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






22. A






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






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






25. The squaring operation only produces






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






27. 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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28. Division ( / )






29. Is a binary relation on a set for which every element is related to itself - i.e. - a relation ~ on S where x~x holds true for every x in S. For example - ~ could be 'is equal to'.






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






31. Is a squared (multiplied by itself) number subtracted from another squared number. It refers to the identity






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






33. Subtraction ( - )






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






35. If a < b and c < 0






36. Is to add - subtract - multiply - or divide both sides of the equation by the same number in order to isolate the variable on one side of the equation. Once the variable is isolated - the other side of the equation is the value of the variable.






37. Is Written as a + b






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






39. Not commutative a^b?b^a






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






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






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






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






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






45. In which the properties of numbers are studied through algebraic systems. Number theory inspired much of the original abstraction in algebra.






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






47. 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).






48. A unary operation






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






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