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






2. Is Written as ab or a^b






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






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






5. A + b = b + a






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






7. Is Written as a






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






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






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






11. k-ary operation is a






12. 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






13. 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






14. If it holds for all a and b in X that if a is related to b then b is related to a.






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






16. (a






17. An operation of arity k is called a






18. Not associative






19. Take two values - and include addition - subtraction - multiplication - division - and exponentiation.






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






21. 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)






22. Is an equation involving integrals.






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






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






25. Operations can have fewer or more than






26. Include composition and convolution






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






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






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






30. If a < b and b < c






31. Can be combined using the function composition operation - performing the first rotation and then the second.






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






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






34. 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).






35. The values combined are called






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. 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.






38. A






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






40. The inner product operation on two vectors produces a






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






42. If a < b and c > 0






43. 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.






44. 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)






45. May not be defined for every possible value.






46. () 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.






47. Is called the codomain of the operation






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






49. Is called the type or arity of the operation






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






Can you answer 50 questions in 15 minutes?



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