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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 equation where the unknowns are required to be integers.






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






3. If a < b and c < d






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






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






6. Operations can have fewer or more than






7. Can be added and subtracted.






8. Include composition and convolution






9. An operation of arity k is called a






10. Is an equation involving integrals.






11. 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






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






13. Is called the type or arity of the operation






14. Is an equation involving derivatives.






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






16. Not associative






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






18. May contain numbers - variables and arithmetical operations. These are conventionally written with 'higher-power' terms on the left






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






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






21. 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.






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






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






24. 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.






25. Is Written as a + b






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






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






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






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






30. k-ary operation is a






31. 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)






32. (a + b) + c = a + (b + c)






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






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






35. 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.






36. Is called the codomain of the operation






37. Subtraction ( - )






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






39. Applies abstract algebra to the problems of geometry






40. 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)






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






42. Not commutative a^b?b^a






43. May not be defined for every possible value.






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






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






46. 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






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






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






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






50. The inner product operation on two vectors produces a







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