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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. Together with geometry - analysis - topology - combinatorics - and number theory - algebra is one of the main branches of






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






3. If a < b and b < c






4. Not associative






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






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






7. 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.






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






9. 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).






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






11. The operation of multiplication means _______________: a






12. Is an equation involving derivatives.






13. Elementary algebraic techniques are used to rewrite a given equation in the above way before arriving at the solution. then - by subtracting 1 from both sides of the equation - and then dividing both sides by 3 we obtain






14. Is an equation involving only algebraic expressions in the unknowns. These are further classified by degree.






15. If a < b and c < 0






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






17. 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)






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






19. A unary operation






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






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






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






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






24. Applies abstract algebra to the problems of geometry






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






26. May not be defined for every possible value.






27. Is a function of the form ? : V ? Y - where V ? X1






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






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






30. Is Written as a + b






31. Operations can have fewer or more than






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






33. 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






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






35. Can be added and subtracted.






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






37. 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






38. 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'.






39. k-ary operation is a






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






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






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






43. Is called the codomain of the operation






44. The inner product operation on two vectors produces a






45. 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






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






47. Subtraction ( - )






48. Are called the domains of the operation






49. An operation of arity k is called a






50. 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