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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. Logarithm (Log)






2. 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






3. 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






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






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






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






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






8. 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.






9. Can be added and subtracted.






10. The value produced is called






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






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






13. Division ( / )






14. A






15. 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.






16. b = b






17. 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






18. 0 - which preserves numbers: a + 0 = a






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






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






21. 1 - which preserves numbers: a^1 = a






22. If a = b then b = a






23. An operation of arity k is called a






24. Is Written as ab or a^b






25. There are two common types of operations:






26. If a < b and c > 0






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






28. 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).






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






30. May not be defined for every possible value.






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






32. Not associative






33. 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






34. often express relationships between given quantities - the knowns - and quantities yet to be determined - the unknowns.






35. The operation of multiplication means _______________: a






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






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






38. 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.






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






40. If a < b and c < 0






41. A + b = b + a






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






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






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






45. Subtraction ( - )






46. 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






47. 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






48. Is called the codomain of the operation






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






50. Is an algebraic 'sentence' containing an unknown quantity.







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