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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. Include composition and convolution






2. 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).






3. 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






4. Applies abstract algebra to the problems of geometry






5. () 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.






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






7. 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.






8. Is Written as a






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






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






11. Is Written as ab or a^b






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






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






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






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






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






17. A






18. 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.






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






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






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






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






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






24. 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.






25. Is an equation involving integrals.






26. The squaring operation only produces






27. An operation of arity k is called a






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






29. 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)






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






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






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






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






34. If a < b and c < 0






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






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






38. 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






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






40. The value produced is called






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






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






43. 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






44. Operations can have fewer or more than






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






46. 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.


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






48. The values combined are called






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






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