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






2. Logarithm (Log)






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






4. The values combined are called






5. There are two common types of operations:






6. 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)






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






8. 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.






9. Is Written as a






10. Not commutative a^b?b^a






11. Can be added and subtracted.






12. 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






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






14. 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






15. 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.






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






17. 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






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






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






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






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






22. 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






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






24. The operation of multiplication means _______________: a






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






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






27. A mathematical statement that asserts the equality of two expressions - this is written by placing the expressions on either side of an equals sign (=).






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






29. Is an equation involving derivatives.






30. 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).






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






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






33. Can be defined axiomatically up to an isomorphism






34. Is an equation in which the unknowns are functions rather than simple quantities.






35. (a






36. If a < b and b < c






37. A






38. In which the properties of numbers are studied through algebraic systems. Number theory inspired much of the original abstraction in algebra.






39. Is Written as a + b






40. 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.






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






42. 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






43. Include composition and convolution






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






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






46. Operations can have fewer or more than






47. If a < b and c < 0






48. Is synonymous with function - map and mapping - that is - a relation - for which each element of the domain (input set) is associated with exactly one element of the codomain (set of possible outputs).






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






50. Are called the domains of the operation